An Inertial Semi-forward-reflected-backward Splitting and Its Application
Inertial methods play a vital role in accelerating the convergence speed of optimization algorithms. This work is concerned with an inertial semi-forward-reflected-backward splitting algorithm of approaching the solution of sum of a maximally monotone operator, a cocoercive operator and a monotone-L...
Uloženo v:
| Vydáno v: | Acta mathematica Sinica. English series Ročník 38; číslo 2; s. 443 - 464 |
|---|---|
| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Beijing
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
01.02.2022
Springer Nature B.V |
| Témata: | |
| ISSN: | 1439-8516, 1439-7617 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | Inertial methods play a vital role in accelerating the convergence speed of optimization algorithms. This work is concerned with an inertial semi-forward-reflected-backward splitting algorithm of approaching the solution of sum of a maximally monotone operator, a cocoercive operator and a monotone-Lipschitz continuous operator. The theoretical convergence properties of the proposed iterative algorithm are also presented under mild conditions. More importantly, we use an adaptive stepsize rule in our algorithm to avoid calculating Lipschitz constant, which is generally unknown or difficult to estimate in practical applications. In addition, a large class of composite monotone inclusion problem involving mixtures of linearly composed and parallel-sum type monotone operators is solved by combining the primal-dual approach and our proposed algorithm. As a direct application, the obtained inertial algorithm is exploited to composite convex optimization problem and some numerical experiments on image deblurring problem are also investigated to demonstrate the efficiency of the proposed algorithm. |
|---|---|
| AbstractList | Inertial methods play a vital role in accelerating the convergence speed of optimization algorithms. This work is concerned with an inertial semi-forward-reflected-backward splitting algorithm of approaching the solution of sum of a maximally monotone operator, a cocoercive operator and a monotone-Lipschitz continuous operator. The theoretical convergence properties of the proposed iterative algorithm are also presented under mild conditions. More importantly, we use an adaptive stepsize rule in our algorithm to avoid calculating Lipschitz constant, which is generally unknown or difficult to estimate in practical applications. In addition, a large class of composite monotone inclusion problem involving mixtures of linearly composed and parallel-sum type monotone operators is solved by combining the primal-dual approach and our proposed algorithm. As a direct application, the obtained inertial algorithm is exploited to composite convex optimization problem and some numerical experiments on image deblurring problem are also investigated to demonstrate the efficiency of the proposed algorithm. |
| Author | Zhang, Guo Feng Tang, Yu Chao Zong, Chun Xiang |
| Author_xml | – sequence: 1 givenname: Chun Xiang surname: Zong fullname: Zong, Chun Xiang organization: School of Mathematics and Statistics, Lanzhou University – sequence: 2 givenname: Yu Chao surname: Tang fullname: Tang, Yu Chao organization: Department of Mathematics, Nanchang University – sequence: 3 givenname: Guo Feng surname: Zhang fullname: Zhang, Guo Feng email: gf_zhang@lzu.edu.cn organization: School of Mathematics and Statistics, Lanzhou University |
| BookMark | eNp9kE9LAzEQxYNUsK1-AG8LnqOZZDdpjqX4Z6HgoXoO2SRbtm6zNUmxfnu3bkEQ9DTD8H4zb94EjXznHULXQG6BEHEXgQDkmFCKCc8lPpyhMeRMYsFBjE79rAB-gSYxbggpCkn4GJVzn5XehdToNlu5bYPrLnzoYHFwdetMchZX2rwdR9lq1zYpNX6daW-zMsVsvutHRqem85fovNZtdFenOkWvD_cviye8fH4sF_MlNgx4woXMDWeW1lQzqIzRVpiKClbx2nKbCwY2B-ZmmkvIecEKAW5WG9DGapDEsim6GfbuQve-dzGpTbcPvj-pKGdUcimB9CoxqEzoYux_UaZJ3z5T0E2rgKhjbmrITfW5qWNu6tCT8IvchWarw-e_DB2Y2Gv92oUfT39DXzJ3gk0 |
| CitedBy_id | crossref_primary_10_1080_02331934_2025_2523918 crossref_primary_10_1080_10556788_2024_2307470 crossref_primary_10_1007_s00186_024_00878_9 crossref_primary_10_1007_s10957_024_02410_9 crossref_primary_10_1007_s10957_025_02694_5 crossref_primary_10_1080_02331934_2023_2267065 crossref_primary_10_1007_s10957_025_02741_1 crossref_primary_10_3390_axioms12060508 |
| Cites_doi | 10.1007/s10107-019-01403-1 10.1137/15M1018253 10.1007/s11228-011-0191-y 10.1002/cpa.20042 10.1088/0266-5611/20/1/006 10.1007/s10957-014-0526-6 10.1137/050626090 10.1007/s11075-015-0007-5 10.1016/S0377-0427(02)00906-8 10.1080/02331934.2013.855210 10.1002/cmm4.1088 10.1007/s10957-012-0245-9 10.1007/s11228-017-0421-z 10.1007/s10915-018-0680-3 10.1137/18M1207260 10.1023/A:1011253113155 10.1088/0266-5611/27/4/045009 10.1137/120872802 10.4208/jcm.1808-m2018-0027 10.1080/02331930412331327157 10.1007/978-3-319-48311-5 10.1007/978-3-642-04900-2 10.1016/0022-247X(79)90234-8 10.1137/S0363012998338806 10.1016/0041-5553(64)90137-5 10.1007/s10957-019-01601-z 10.1090/S0002-9904-1964-11178-2 10.1007/s10444-011-9254-8 10.1137/0716071 10.1007/s10851-014-0523-2 10.1137/15100463X 10.1137/17M1120099 10.3390/sym10110563 |
| ContentType | Journal Article |
| Copyright | Springer-Verlag GmbH Germany & The Editorial Office of AMS 2022 Springer-Verlag GmbH Germany & The Editorial Office of AMS 2022. |
| Copyright_xml | – notice: Springer-Verlag GmbH Germany & The Editorial Office of AMS 2022 – notice: Springer-Verlag GmbH Germany & The Editorial Office of AMS 2022. |
| DBID | AAYXX CITATION 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1007/s10114-022-0649-x |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1439-7617 |
| EndPage | 464 |
| ExternalDocumentID | 10_1007_s10114_022_0649_x |
| GroupedDBID | -5D -5G -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 1N0 1SB 2.D 23M 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 3V. 4.4 406 408 40D 40E 5GY 5VR 5VS 67Z 6NX 7WY 88I 8FE 8FG 8FL 8G5 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABDBF ABDZT ABECU ABFTV ABHLI ABHQN ABJCF ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACGOD ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACUHS ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADQRH ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFEXP AFGCZ AFKRA AFLOW AFQWF AFUIB AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARMRJ ASPBG AVWKF AXYYD AZFZN AZQEC B-. B0M BA0 BAPOH BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ BSONS CAG CCEZO CCPQU CCVFK CHBEP COF CS3 CSCUP CW9 DDRTE DL5 DNIVK DPUIP DWQXO EAD EAP EAS EBLON EBS EIOEI EJD EMK EPL ESBYG EST ESX F5P FA0 FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GROUPED_ABI_INFORM_COMPLETE GUQSH H13 HCIFZ HF~ HG6 HMJXF HRMNR HVGLF HZ~ IHE IJ- IKXTQ ITM IWAJR IXC IZQ I~X I~Z J-C JBSCW JZLTJ K60 K6V K6~ K7- KDC KOV L6V LAS LLZTM M0C M0N M2O M2P M4Y M7S MA- N2Q NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J P19 P62 P9R PF0 PQBIZ PQBZA PQQKQ PROAC PT4 PT5 PTHSS Q2X QOS R4E R89 R9I ROL RPX RSV S16 S1Z S26 S27 S28 S3B SAP SCL SCLPG SDH SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TSG TSK TSV TUC TUS U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR ZMTXR ZWQNP ~8M ~A9 AAPKM AAYXX ABBRH ABDBE ABRTQ ADHKG AFDZB AFFHD AFOHR AGQPQ AHPBZ AMVHM ATHPR CITATION PHGZM PHGZT PQGLB TGP 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c316t-594c63d2f2a31bccad7cb273b6fd6d4731d413e8a6914653571e8fc1acda190d3 |
| IEDL.DBID | RSV |
| ISICitedReferencesCount | 11 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000760955500010&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1439-8516 |
| IngestDate | Wed Sep 17 23:58:02 EDT 2025 Sat Nov 29 05:42:20 EST 2025 Tue Nov 18 20:55:01 EST 2025 Fri Feb 21 02:47:46 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Keywords | composite monotone inclusions 65K05 composite convex optimization 90C25 Operator splitting total variation 47H05 inertial scheme |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c316t-594c63d2f2a31bccad7cb273b6fd6d4731d413e8a6914653571e8fc1acda190d3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 2632969910 |
| PQPubID | 54875 |
| PageCount | 22 |
| ParticipantIDs | proquest_journals_2632969910 crossref_citationtrail_10_1007_s10114_022_0649_x crossref_primary_10_1007_s10114_022_0649_x springer_journals_10_1007_s10114_022_0649_x |
| PublicationCentury | 2000 |
| PublicationDate | 2022-02-01 |
| PublicationDateYYYYMMDD | 2022-02-01 |
| PublicationDate_xml | – month: 02 year: 2022 text: 2022-02-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Beijing |
| PublicationPlace_xml | – name: Beijing – name: Heidelberg |
| PublicationTitle | Acta mathematica Sinica. English series |
| PublicationTitleAbbrev | Acta. Math. Sin.-English Ser |
| PublicationYear | 2022 |
| Publisher | Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society Springer Nature B.V |
| Publisher_xml | – name: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society – name: Springer Nature B.V |
| References | Davis, Yin (CR19) 2017; 25 Combettes, Pesquet (CR12) 2007; 1 Combettes, Wajs (CR15) 2005; 4 Ryu (CR34) 2020; 182 Lions, Mercier (CR22) 1979; 16 Moudafi, Oliny (CR26) 2003; 155 Chen, Chan, Ma (CR11) 2015; 8 Goldstein (CR21) 1964; 70 Bauschke, Combettes (CR2) 2017 Byrne (CR10) 2004; 20 Briceño-Arias, Davis (CR8) 2018; 28 Polyak (CR30) 1964; 4 Daubechies, Defrise, De Mol (CR18) 2004; 57 Malitsky, Tam (CR24) 2020; 30 Micchelli, Shen, Xu (CR25) 2011; 27 Tseng (CR38) 2000; 38 Condat (CR16) 2013; 158 Tang (CR36) 2015 Boţ, Csetnek (CR4) 2016; 1 Vũ (CR39) 2015; 164 Duchi, Singer (CR20) 2009; 10 Yan (CR42) 2018; 76 Lorenz, Pock (CR23) 2015; 51 Combettes (CR14) 2004; 53 Raguet, Landrieu (CR32) 2015; 8 Alvarez, Attouch (CR1) 2001; 9 Zong, Tang, Cho (CR43) 2018; 10 Combettes, Pesquet (CR13) 2012; 20 Boţ (CR3) 2010 Yang, Tang (CR41) 2021; 41 Cui, Tang, Yang (CR17) 2019; 1 Boţ, Csetnek (CR5) 2016; 71 Tang, Wu, Zhu (CR37) 2019; 37 CR7 Boţ, Csetnek, Hendrich (CR6) 2015; 256 CR28 Vũ (CR40) 2013; 38 Bricenño-Arias (CR9) 2015; 64 Rieger, Tam (CR33) 2020; 381 Raguet, Fadili, Peyré (CR31) 2013; 6 Nesterov (CR27) 1983; 269 Passty (CR29) 1979; 72 Ryu, Vũ (CR35) 2020; 184 C H Chen (649_CR11) 2015; 8 Y Nesterov (649_CR27) 1983; 269 H Raguet (649_CR32) 2015; 8 E K Ryu (649_CR35) 2020; 184 F Y Cui (649_CR17) 2019; 1 Y C Tang (649_CR36) 2015 Y C Tang (649_CR37) 2019; 37 L Condat (649_CR16) 2013; 158 J Rieger (649_CR33) 2020; 381 I Daubechies (649_CR18) 2004; 57 B C Vũ (649_CR40) 2013; 38 R I Boţ (649_CR5) 2016; 71 L M Bricenño-Arias (649_CR9) 2015; 64 C A Micchelli (649_CR25) 2011; 27 D Davis (649_CR19) 2017; 25 C Byrne (649_CR10) 2004; 20 R I Boţ (649_CR3) 2010 J Duchi (649_CR20) 2009; 10 D A Lorenz (649_CR23) 2015; 51 P Tseng (649_CR38) 2000; 38 649_CR28 A A Goldstein (649_CR21) 1964; 70 E K Ryu (649_CR34) 2020; 182 M Yan (649_CR42) 2018; 76 P L Combettes (649_CR13) 2012; 20 B T Polyak (649_CR30) 1964; 4 F Alvarez (649_CR1) 2001; 9 H H Bauschke (649_CR2) 2017 B C Vũ (649_CR39) 2015; 164 P L Combettes (649_CR15) 2005; 4 P L Combettes (649_CR12) 2007; 1 H Raguet (649_CR31) 2013; 6 L M Briceño-Arias (649_CR8) 2018; 28 R I Boţ (649_CR4) 2016; 1 P L Lions (649_CR22) 1979; 16 C X Zong (649_CR43) 2018; 10 Y Malitsky (649_CR24) 2020; 30 P L Combettes (649_CR14) 2004; 53 Y Yang (649_CR41) 2021; 41 A Moudafi (649_CR26) 2003; 155 G B Passty (649_CR29) 1979; 72 R I Boţ (649_CR6) 2015; 256 649_CR7 |
| References_xml | – volume: 6 start-page: 1199 year: 2013 end-page: 1226 ident: CR31 article-title: A generalized forward-backward splitting publication-title: SIAM J. Imaging Sci. – volume: 8 start-page: 2239 year: 2015 end-page: 2267 ident: CR11 article-title: Inertial proximal ADMM for linearly constrained separable convex optimization publication-title: SIAM J. Imaging Sci. – volume: 25 start-page: 829 year: 2017 end-page: 858 ident: CR19 article-title: A three-operator splitting scheme and its optimization applications publication-title: Set-Valued Var. Anal. – year: 2017 ident: CR2 publication-title: Convex Analysis and Monotone Operator Theory in Hilbert Spaces – volume: 1 start-page: 29 year: 2016 end-page: 49 ident: CR4 article-title: An inertial alternating direction method of multipliers publication-title: Minimax Theory Appl. – volume: 10 start-page: 2899 year: 2009 end-page: 2934 ident: CR20 article-title: Efficient online and batch learning using forward backward splitting publication-title: J. Mach. Learn. Res. – volume: 38 start-page: 667 year: 2013 end-page: 681 ident: CR40 article-title: A splitting algorithm for dual monotone inclusions involving cocoercive operators publication-title: Adv. Comput. Math. – volume: 4 start-page: 1168 year: 2005 end-page: 1200 ident: CR15 article-title: Signal recovery by proximal forward-backward splitting publication-title: Multiscale Model. Simul. – volume: 182 start-page: 233 year: 2020 end-page: 273 ident: CR34 article-title: Uniqueness of DRS as the 2 operator resolvent-splitting and impossibility of 3 operator resolvent-splitting publication-title: Math. Program. – volume: 71 start-page: 519 year: 2016 end-page: 540 ident: CR5 article-title: An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems publication-title: Numer. Algorithms – volume: 27 start-page: 045009 year: 2011 ident: CR25 article-title: Proximity algorithms for image models: denoising publication-title: Inverse Problems – volume: 155 start-page: 447 year: 2003 end-page: 454 ident: CR26 article-title: Convergence of a splitting inertial proximal method for monotone operators publication-title: J. Comput. Appl. Math. – volume: 381 start-page: 125248 year: 2020 ident: CR33 article-title: Backward-forward-reflected-backward splitting for three operator monotone inclusions publication-title: Appl. Math. Comput. – volume: 70 start-page: 709 year: 1964 end-page: 710 ident: CR21 article-title: Convex programming in Hilbert space publication-title: Bull. Amer. Math. Soc. – volume: 10 start-page: 563 year: 2018 ident: CR43 article-title: Convergence analysis of an inexact three-operator splitting algorithm publication-title: Symmetry – volume: 57 start-page: 1413 year: 2004 end-page: 1457 ident: CR18 article-title: An iterative thresholding algorithm for linear inverse problems with a sparsity constraint publication-title: Comm. Pure Appl. Math. – volume: 30 start-page: 1451 year: 2020 end-page: 1472 ident: CR24 article-title: A forward-backward splitting method for monotone inclusions without cocoercivity publication-title: SIAM J. Optim. – volume: 51 start-page: 311 year: 2015 end-page: 325 ident: CR23 article-title: An inertial forward-backward algorithm for monotone inclusions publication-title: J. Math. Imaging Vision – volume: 28 start-page: 2839 year: 2018 end-page: 2871 ident: CR8 article-title: Forward-backward-half forward algorithm for solving monotone inclusions publication-title: SIAM J. Optim. – volume: 1 start-page: 113 year: 2019 end-page: 134 ident: CR17 article-title: An inertial three-operator splitting algorithm with applications to image inpainting publication-title: Appl. Set-Valued Anal. Optim. – volume: 164 start-page: 993 year: 2015 end-page: 1025 ident: CR39 article-title: A splitting algorithm for coupled system of primal-dual monotone inclusions publication-title: J. Optim. Theory Appl. – volume: 16 start-page: 964 year: 1979 end-page: 979 ident: CR22 article-title: Splitting algorithms for the sum of two nonlinear operators publication-title: SIAM J. Numer. Anal. – year: 2010 ident: CR3 publication-title: Conjugate Duality in Convex Optimization – volume: 20 start-page: 103 year: 2004 end-page: 120 ident: CR10 article-title: A unified treatment of some iterative algorithms in signal processing and image reconstruction publication-title: Inverse Problems – volume: 37 start-page: 668 year: 2019 end-page: 690 ident: CR37 article-title: A first-order splitting method for solving a large-scale composite convex optimization problem publication-title: J. Comput. Math. – volume: 256 start-page: 472 year: 2015 end-page: 487 ident: CR6 article-title: Inertial Douglas—Rachford splitting for monotone inclusion problems publication-title: Appl. Math. Comput. – volume: 64 start-page: 1239 year: 2015 end-page: 1261 ident: CR9 article-title: Forward-Douglas—Rachford splitting and forward-partial inverse method for solving monotone inclusions publication-title: Optimization – volume: 38 start-page: 431 year: 2000 end-page: 446 ident: CR38 article-title: A modified forward-backward splitting method for maximal monotone mappings publication-title: SIAM J. Control Optim. – volume: 9 start-page: 3 year: 2001 end-page: 11 ident: CR1 article-title: An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping publication-title: Set-Valued Anal. – start-page: 94131W year: 2015 ident: CR36 publication-title: A primal dual fixed point algorithm for constrained optimization problems with applications to image reconstruction – volume: 41 start-page: 204 year: 2021 end-page: 220 ident: CR41 article-title: An inertial alternating direction method of multipliers for solving a two-block separable convex minimization problem publication-title: J. Math. Res. Appl. – volume: 53 start-page: 475 year: 2004 end-page: 504 ident: CR14 article-title: Solving monotone inclusions via compositions of nonexpansive averaged operators publication-title: Optimization – volume: 1 start-page: 564 year: 2007 end-page: 574 ident: CR12 article-title: A Douglas—Rachford splitting approach to nonsmooth convex variational signal recovery publication-title: IEEE JSTSP – volume: 269 start-page: 543 year: 1983 end-page: 547 ident: CR27 article-title: A method for solving the convex programming problem with convergence rate (1/ ) publication-title: Dokl. Akad. Nauk SSSR – volume: 72 start-page: 383 year: 1979 end-page: 390 ident: CR29 article-title: Ergodic convergence to a zero of the sum of monotone operators in Hilbert space publication-title: J. Math. Anal. Appl. – ident: CR7 – volume: 184 start-page: 858 year: 2020 end-page: 876 ident: CR35 article-title: Finding the forward-Douglas—Rachford-forward method publication-title: J. Optim. Theory Appl. – ident: CR28 – volume: 158 start-page: 460 year: 2013 end-page: 479 ident: CR16 article-title: A primal-dual splitting method for convex optimization involving Lipschitzian, proximable and linear composite terms publication-title: J. Optim. Theory Appl. – volume: 8 start-page: 2706 year: 2015 end-page: 2739 ident: CR32 article-title: Preconditioning of a generalized forward-backward splitting and application to optimization on graphs publication-title: SIAM J. Imaging Sci. – volume: 20 start-page: 307 year: 2012 end-page: 330 ident: CR13 article-title: Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum type monotone operators publication-title: Set-Valued Var. Anal. – volume: 4 start-page: 1 year: 1964 end-page: 17 ident: CR30 article-title: Some methods of speeding up the convergence of iteration methods publication-title: USSR Comput. Math. Math. Phys. – volume: 76 start-page: 1698 year: 2018 end-page: 1717 ident: CR42 article-title: A new primal-dual algorithm for minimizing the sum of three functions with a linear operator publication-title: J. Sci. Comput. – volume: 182 start-page: 233 year: 2020 ident: 649_CR34 publication-title: Math. Program. doi: 10.1007/s10107-019-01403-1 – volume: 381 start-page: 125248 year: 2020 ident: 649_CR33 publication-title: Appl. Math. Comput. – volume: 8 start-page: 2706 year: 2015 ident: 649_CR32 publication-title: SIAM J. Imaging Sci. doi: 10.1137/15M1018253 – volume: 20 start-page: 307 year: 2012 ident: 649_CR13 publication-title: Set-Valued Var. Anal. doi: 10.1007/s11228-011-0191-y – volume: 57 start-page: 1413 year: 2004 ident: 649_CR18 publication-title: Comm. Pure Appl. Math. doi: 10.1002/cpa.20042 – volume: 10 start-page: 2899 year: 2009 ident: 649_CR20 publication-title: J. Mach. Learn. Res. – volume: 20 start-page: 103 year: 2004 ident: 649_CR10 publication-title: Inverse Problems doi: 10.1088/0266-5611/20/1/006 – volume: 164 start-page: 993 year: 2015 ident: 649_CR39 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-014-0526-6 – volume: 4 start-page: 1168 year: 2005 ident: 649_CR15 publication-title: Multiscale Model. Simul. doi: 10.1137/050626090 – volume: 71 start-page: 519 year: 2016 ident: 649_CR5 publication-title: Numer. Algorithms doi: 10.1007/s11075-015-0007-5 – volume: 155 start-page: 447 year: 2003 ident: 649_CR26 publication-title: J. Comput. Appl. Math. doi: 10.1016/S0377-0427(02)00906-8 – volume: 64 start-page: 1239 year: 2015 ident: 649_CR9 publication-title: Optimization doi: 10.1080/02331934.2013.855210 – ident: 649_CR28 doi: 10.1002/cmm4.1088 – volume: 1 start-page: 29 year: 2016 ident: 649_CR4 publication-title: Minimax Theory Appl. – volume: 256 start-page: 472 year: 2015 ident: 649_CR6 publication-title: Appl. Math. Comput. – volume: 158 start-page: 460 year: 2013 ident: 649_CR16 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-012-0245-9 – volume: 25 start-page: 829 year: 2017 ident: 649_CR19 publication-title: Set-Valued Var. Anal. doi: 10.1007/s11228-017-0421-z – volume: 1 start-page: 564 year: 2007 ident: 649_CR12 publication-title: IEEE JSTSP – volume: 1 start-page: 113 year: 2019 ident: 649_CR17 publication-title: Appl. Set-Valued Anal. Optim. – volume: 76 start-page: 1698 year: 2018 ident: 649_CR42 publication-title: J. Sci. Comput. doi: 10.1007/s10915-018-0680-3 – volume: 30 start-page: 1451 year: 2020 ident: 649_CR24 publication-title: SIAM J. Optim. doi: 10.1137/18M1207260 – volume: 9 start-page: 3 year: 2001 ident: 649_CR1 publication-title: Set-Valued Anal. doi: 10.1023/A:1011253113155 – volume: 27 start-page: 045009 year: 2011 ident: 649_CR25 publication-title: Inverse Problems doi: 10.1088/0266-5611/27/4/045009 – volume: 6 start-page: 1199 year: 2013 ident: 649_CR31 publication-title: SIAM J. Imaging Sci. doi: 10.1137/120872802 – start-page: 94131W volume-title: A primal dual fixed point algorithm for constrained optimization problems with applications to image reconstruction year: 2015 ident: 649_CR36 – volume: 37 start-page: 668 year: 2019 ident: 649_CR37 publication-title: J. Comput. Math. doi: 10.4208/jcm.1808-m2018-0027 – volume: 53 start-page: 475 year: 2004 ident: 649_CR14 publication-title: Optimization doi: 10.1080/02331930412331327157 – ident: 649_CR7 – volume-title: Convex Analysis and Monotone Operator Theory in Hilbert Spaces year: 2017 ident: 649_CR2 doi: 10.1007/978-3-319-48311-5 – volume-title: Conjugate Duality in Convex Optimization year: 2010 ident: 649_CR3 doi: 10.1007/978-3-642-04900-2 – volume: 72 start-page: 383 year: 1979 ident: 649_CR29 publication-title: J. Math. Anal. Appl. doi: 10.1016/0022-247X(79)90234-8 – volume: 269 start-page: 543 year: 1983 ident: 649_CR27 publication-title: Dokl. Akad. Nauk SSSR – volume: 38 start-page: 431 year: 2000 ident: 649_CR38 publication-title: SIAM J. Control Optim. doi: 10.1137/S0363012998338806 – volume: 4 start-page: 1 year: 1964 ident: 649_CR30 publication-title: USSR Comput. Math. Math. Phys. doi: 10.1016/0041-5553(64)90137-5 – volume: 41 start-page: 204 year: 2021 ident: 649_CR41 publication-title: J. Math. Res. Appl. – volume: 184 start-page: 858 year: 2020 ident: 649_CR35 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-019-01601-z – volume: 70 start-page: 709 year: 1964 ident: 649_CR21 publication-title: Bull. Amer. Math. Soc. doi: 10.1090/S0002-9904-1964-11178-2 – volume: 38 start-page: 667 year: 2013 ident: 649_CR40 publication-title: Adv. Comput. Math. doi: 10.1007/s10444-011-9254-8 – volume: 16 start-page: 964 year: 1979 ident: 649_CR22 publication-title: SIAM J. Numer. Anal. doi: 10.1137/0716071 – volume: 51 start-page: 311 year: 2015 ident: 649_CR23 publication-title: J. Math. Imaging Vision doi: 10.1007/s10851-014-0523-2 – volume: 8 start-page: 2239 year: 2015 ident: 649_CR11 publication-title: SIAM J. Imaging Sci. doi: 10.1137/15100463X – volume: 28 start-page: 2839 year: 2018 ident: 649_CR8 publication-title: SIAM J. Optim. doi: 10.1137/17M1120099 – volume: 10 start-page: 563 year: 2018 ident: 649_CR43 publication-title: Symmetry doi: 10.3390/sym10110563 |
| SSID | ssj0055906 |
| Score | 2.316712 |
| Snippet | Inertial methods play a vital role in accelerating the convergence speed of optimization algorithms. This work is concerned with an inertial... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 443 |
| SubjectTerms | Algorithms Computational geometry Convergence Iterative algorithms Mathematics Mathematics and Statistics Operators (mathematics) Optimization Splitting |
| Title | An Inertial Semi-forward-reflected-backward Splitting and Its Application |
| URI | https://link.springer.com/article/10.1007/s10114-022-0649-x https://www.proquest.com/docview/2632969910 |
| Volume | 38 |
| WOSCitedRecordID | wos000760955500010&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVPQU databaseName: ABI/INFORM Collection customDbUrl: eissn: 1439-7617 dateEnd: 20241212 omitProxy: false ssIdentifier: ssj0055906 issn: 1439-8516 databaseCode: 7WY dateStart: 19990101 isFulltext: true titleUrlDefault: https://www.proquest.com/abicomplete providerName: ProQuest – providerCode: PRVPQU databaseName: ABI/INFORM Global (OCUL) customDbUrl: eissn: 1439-7617 dateEnd: 20241212 omitProxy: false ssIdentifier: ssj0055906 issn: 1439-8516 databaseCode: M0C dateStart: 19990101 isFulltext: true titleUrlDefault: https://search.proquest.com/abiglobal providerName: ProQuest – providerCode: PRVPQU databaseName: Advanced Technologies & Aerospace Database customDbUrl: eissn: 1439-7617 dateEnd: 20241212 omitProxy: false ssIdentifier: ssj0055906 issn: 1439-8516 databaseCode: P5Z dateStart: 19990101 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1439-7617 dateEnd: 20241212 omitProxy: false ssIdentifier: ssj0055906 issn: 1439-8516 databaseCode: BENPR dateStart: 19990101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Research Library customDbUrl: eissn: 1439-7617 dateEnd: 20241212 omitProxy: false ssIdentifier: ssj0055906 issn: 1439-8516 databaseCode: M2O dateStart: 19990101 isFulltext: true titleUrlDefault: https://search.proquest.com/pqrl providerName: ProQuest – providerCode: PRVPQU databaseName: Science Database customDbUrl: eissn: 1439-7617 dateEnd: 20241212 omitProxy: false ssIdentifier: ssj0055906 issn: 1439-8516 databaseCode: M2P dateStart: 19990101 isFulltext: true titleUrlDefault: https://search.proquest.com/sciencejournals providerName: ProQuest – providerCode: PRVAVX databaseName: SpringerLINK Contemporary 1997-Present customDbUrl: eissn: 1439-7617 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0055906 issn: 1439-8516 databaseCode: RSV dateStart: 19990101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8QwEB58HfTgW1wfSw-elEDadJvmuMouLuhaXN-X0jwKC1plu4o_30m3tSoq6GWg7TSEmSTzkZl8AdhLQ55wE1CiE5xufsIZroPGI1JKX0rFQiULdv0T3u-HNzciKs9x51W1e5WSLFbqD4fdELsTW32OYVQQBI6zGO1Ce1_D-eCqWn4RIdPJkSImCMKJoEplftfE52BUI8wvSdEi1nSX_tXLZVgsoaXTnoyFFZgy2SosnL7zsuZr0GtnTi-zpdSoODAPQ4KYtaibxb7ZDXyjibQ7evjKGSA-LaqinSTTTm-cO-06270Ol93OxdExKS9TIIq5wZi0hK8Cpr3US5gr0W-aK4nYRQapDrTPmasxnpkwCYRrOdda3DVhqtxE6QRBg2YbMJM9ZmYTHOprHRrDZUtIy-8mNIISRRnXVAmf-g2glVVjVTKN2wsv7uOaI9laKUYrxdZK8WsD9t9_eZrQbPymvFO5Ki5nXB5b3nkRINqlDTioXFN__rGxrT9pb8O8V_jW1rPswMx49Gx2YU69jIf5qAnT_Pq2CbOHnX50jk-n9MhK76yQEcqoddcshusbgAvejg |
| linkProvider | Springer Nature |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3dS8MwEA8yBfXBb3E6tQ8-KYG06ZrmcYhjxW2Im7K3kq_CQKusVfzzvXTtqqKCvraXEO6Sux-5u18QOktCJpgJCNYCjpsvGAU_aDwspfSlVDRUsmDX77PhMJxM-E3Zx51V1e5VSrLw1B-a3QC7Y1t9DmGUYwCOyz4ELEuYfzu6r9wvIGQybymiHAOcCKpU5ndTfA5GNcL8khQtYk1381-r3EIbJbR0OvO9sI2WTLqD1gcLXtZsF0Wd1IlSW0oNgiPzOMWAWYu6WVibvcA3Gkt7owefnBHg06Iq2hGpdqI8czp1tnsP3XWvxpc9XD6mgBV1gxy3ua8Cqr3EE9SVYDfNlATsIoNEB9pn1NUQz0woAu5azrU2c02YKFcoLQA0aLqPGulTag6QQ3ytQ2OYbHNp-d24BlCiCGWaKO4Tv4lIpdVYlUzj9sGLh7jmSLZaikFLsdVS_NZE54shz3Oajd-EW5Wp4vLEZbHlnecBoF3SRBeVaerfP052-CfpU7TaGw_6cT8aXh-hNa-ws61taaFGPnsxx2hFvebTbHZSbMp3HbvbEA |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1bS8MwFA6iIvrgXZxO7YNPSli7dEnzONRhcY7BVPZWcisMtI61ij_fk15WFRXE1zYN4Zwk52vOd74gdBoHTDBDXawFLDdfMAL7oGljKaUvpSKBkrm6fp8NBsF4zIflPadpxXavUpJFTYNVaUqy1lTHrQ-Fb4DjsWWiQ0jlGEDkkm959PZ3ffRQbcWAlt2ivIhwDNCCVmnN77r4HJhqtPklQZrHnd7Gv0e8idZLyOl0izmyhRZMso3Wbud6rekOCruJEyaWYg0NR-ZpggHL5nxaGKc92DcaS3vSB4-cEeDWnC3tiEQ7YZY63ToLvovue1d3F9e4vGQBK-LRDHe4ryjR7bgtiCfBn5opCZhG0lhT7TPiaYhzJhCUe1aLrcM8E8TKE0oLABOa7KHF5Dkx-8hxfa0DY5jscGl137gGsKJcwrSruO_6DeRWFo5UqUBuL8J4jGrtZGulCKwUWStFbw10Nv9kWshv_Na4WbktKldiGlk9ek4BBbsNdF65qX79Y2cHf2p9glaGl72oHw5uDtFqO3ezpbw00WI2ezFHaFm9ZpN0dpzPz3f0GOP0 |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=An+Inertial+Semi-forward-reflected-backward+Splitting+and+Its+Application&rft.jtitle=Acta+mathematica+Sinica.+English+series&rft.au=Xiang%2C+Zong+Chun&rft.au=Tang+Yu+Chao&rft.au=Zhang+Guo+Feng&rft.date=2022-02-01&rft.pub=Springer+Nature+B.V&rft.issn=1439-8516&rft.eissn=1439-7617&rft.volume=38&rft.issue=2&rft.spage=443&rft.epage=464&rft_id=info:doi/10.1007%2Fs10114-022-0649-x&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1439-8516&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1439-8516&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1439-8516&client=summon |