Výsledky vyhledávání - numerical algorithms and problems - computation on (matice OR matica)

Core reduction and total least squares for matrix approximation problems ; Core redukce a problém úplných nejmenších čtverců pro maticové aproximační problémy

Autoři: Pokorná, Kateřina Hnětynková, Iveta Carson, Erin Claire

Přispěvatelé: Pokorná, Kateřina Hnětynková, Iveta Carson, Erin Claire

Témata: core redukce|úplné nejmenší čtverce|zobecněné modely|aproximační problém|ortogonální transformace, core reduction|total least squares|generalized models|approximation problem|orthogonal transformations

Popis souboru: application/pdf

Relation: https://hdl.handle.net/20.500.11956/202768; 272248

Dostupnost: https://hdl.handle.net/20.500.11956/202768

NUMERICAL ALGORITHMS FOR SIMULATION OF MULTISECTION LASERS BY USING TRAVELING WAVE MODEL.

Autoři: Čiegis, R. Radziunas, M. Lichtner, M.

Zdroj: Mathematical Modelling & Analysis; 2008, Vol. 13 Issue 3, p327-348, 22p, 3 Diagrams, 4 Charts, 3 Graphs

Témata: ALGORITHMS, WAVE functions, SEMICONDUCTORS, FINITE differences, MATHEMATICAL models, NONLINEAR systems, MATHEMATICAL physics, MATHEMATICAL analysis

Pole hodnot matice: Teorie a výpočet ; Field of values of a matrix: Theory and computation

Autoři: Vacek, Lukáš Tichý, Petr Tůma, Miroslav

Přispěvatelé: Vacek, Lukáš Tichý, Petr Tůma, Miroslav

Témata: pole hodnot matice, maticová analýza, numerické metody, field of values of a matrix, matrix analysis, numerical methods

Popis souboru: application/pdf; application/octet-stream

Relation: http://hdl.handle.net/20.500.11956/84449; 154937; 002093063; 990020930630106986

Dostupnost: https://hdl.handle.net/20.500.11956/84449

Využití numerické lineární algebry k urychlení výpočtu odhadů MCD ; Exploiting numerical linear algebra to accelerate the computation of the MCD estimator

Autoři: Sommerová, Kristýna Duintjer Tebbens, Erik Jurjen Hnětynková, Iveta

Přispěvatelé: Sommerová, Kristýna Duintjer Tebbens, Erik Jurjen Hnětynková, Iveta

Témata: robust statistics, determinant minimization, C-step, Jacobi method, robustní statistika, minimalizace determinantu, Jacobiho metoda

Popis souboru: application/pdf

Relation: http://hdl.handle.net/20.500.11956/101472; 181623

Dostupnost: https://hdl.handle.net/20.500.11956/101472

Vícekriteriální metody dělení grafů ; Multicriteria graph partitioning

Autoři: Houška, Ondřej Tůma, Miroslav Hnětynková, Iveta

Přispěvatelé: Houška, Ondřej Tůma, Miroslav Hnětynková, Iveta

Témata: paralelní výpočty, dělení grafů, řešení soustav rovnic, metoda konjugovaných gradientů, řídké matice, parallel computations, graph partitioning, solving linear systems, Conjugate Gradient method, sparse matrices

Popis souboru: application/pdf

Relation: http://hdl.handle.net/20.500.11956/121232; 167766

Dostupnost: https://hdl.handle.net/20.500.11956/121232

Tools and Algorithms for the Construction and Analysis of Systems

Autoři: Dana Fisman Grigore Rosu

Resource Type: eBook.

Témata: Computer software--Verification--Congresses, System design--Congresses, System analysis--Congresses

Categories: COMPUTERS / Computer Science, COMPUTERS / Software Development & Engineering / General, COMPUTERS / Hardware / General, COMPUTERS / Computer Simulation

Přibližný polynomiální největší společný dělitel

Approximate Polynomial Greatest Common Divisor

Autoři: Eliaš, Ján

Thesis Advisors: Zítko, Jan, Hnětynková, Iveta

Témata: TLS, numerická hodnosť, numerical rank, AGCD, Sylvester matrix, Sylvesterova matica

Dostupnost: http://www.nusl.cz/ntk/nusl-305162

Approximate Polynomial Greatest Common Divisor ; Přibližný polynomiální největší společný dělitel

Autoři: Eliaš, Ján Zítko, Jan Hnětynková, Iveta

Přispěvatelé: Eliaš, Ján Zítko, Jan Hnětynková, Iveta

Témata: AGCD, Sylvesterova matica, numerická hodnosť, TLS, Sylvester matrix, numerical rank

Popis souboru: application/pdf; application/octet-stream

Relation: http://hdl.handle.net/20.500.11956/40859; 95331; 001503488; 990015034880106986

Dostupnost: https://hdl.handle.net/20.500.11956/40859

Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2

Autoři: Adélia Sequeira Ana Silvestre Svilen S. Valtchev a další

Resource Type: eBook.

Témata: Chemistry, Earth sciences, Numerical analysis--Congresses

Categories: MATHEMATICS / Numerical Analysis, COMPUTERS / Computer Science, MATHEMATICS / Applied, SCIENCE / Chemistry / General, SCIENCE / Earth Sciences / General, SCIENCE / Physics / Mathematical & Computational

Analýza výpočtu největšího společného dělitele polynomů

Autoři: Kuřátko, Jan Zítko, Jan Janovský, Vladimír

Přispěvatelé: Kuřátko, Jan Zítko, Jan Janovský, Vladimír

Témata: Sylvestrova matice, největší společný dělitel, aproximovaný největší společný dělitel, nepřesný polynom, numerická hodnost, Sylvester matrix, greatest common divisor, approximate greatest common divisor, imprecise polynomial, numerical rank

Popis souboru: application/pdf

Relation: http://hdl.handle.net/20.500.11956/39798; 75847; 001469857; 990014698570106986

Dostupnost: https://hdl.handle.net/20.500.11956/39798

One hundred years of applied storage reservoir theory.

Autoři: Klemeš, V.

Zdroj: Water Resources Management; Sep1987, Vol. 1 Issue 3, p159-175, 17p

Contact of crack surfaces during fatigue: Part 1. formulation of the model.

Autoři: García, Ana Sehitoglu, Huseyin

Zdroj: Metallurgical & Materials Transactions. Part A; 1997, Vol. 28 Issue 11, p2263-2275, 13p

Pole hodnot matice: Teorie a výpočet

Autoři: Vacek, Lukáš Tichý, Petr Tůma, Miroslav

Přispěvatelé: Vacek, Lukáš Tichý, Petr Tůma, Miroslav

Témata: maticová analýza, field of values of a matrix, pole hodnot matice, matrix analysis, numerické metody, numerical methods

Přístupová URL adresa: http://www.nusl.cz/ntk/nusl-354192
http://www.nusl.cz/ntk/nusl-458844

Robust Stabilization of Linear Systems with Delayed State and Control.

Autoři: Nam, P. T. Phat, V. N.

Zdroj: Journal of Optimization Theory & Applications; Feb2009, Vol. 140 Issue 2, p287-299, 13p

Témata: LINEAR systems, LYAPUNOV functions, ROBUST control, MATHEMATICAL analysis, MATRIX inequalities, FUNCTIONAL analysis, EXPONENTIAL functions, FEEDBACK control systems

An efficient algorithm for computing the eigenvalues of conformable Sturm-Liouville problem.

Autoři: Mirzaei, Hanif Emami, Mahmood Ghanbari, Kazem a další

Zdroj: Computational Methods for Differential Equations; Jul2024, Vol. 12 Issue 3, p471-483, 13p

Témata: EIGENVALUES, STURM-Liouville equation, FINITE element method, NUMERICAL analysis, APPROXIMATION theory

Metoda konjugovaných gradientů jako dobrodružství jdoucí přes staletí ; The Conjugate Gradient Method as a Journey Through Centuries

Autoři: Strakoš, Zdeněk

Témata: msc:65F10, msc:65Fxx

Popis souboru: application/pdf

Relation: zbl:Zbl 07675633; reference:[1] Arioli, M., Pták, V., Strakoš, Z.: Krylov sequences of maximal length and convergence of GMRES. BIT 38 (1998), 636–643. MR 1670196, 10.1007/BF02510405; reference:[2] Axelsson, O., Barker, V. A.: Finite element solution of boundary value problems, theory and computations. Academic Press, Orlando, FL, 1984. MR 0758437; reference:[3] Benzi, M.: Preconditioning techniques for large linear systems: a survey. J. Comput. Phys. 182 (2002), 418–477. MR 1941848, 10.1006/jcph.2002.7176; reference:[4] Benzi, M., Tůma, M.: A comparative study of sparse approximate inverse preconditioners. Appl. Numer. Math. 30 (1999), 305–340. MR 1688632, 10.1016/S0168-9274(98)00118-4; reference:[5] Brandts, J., Křížek, M.: Padesát let metody konjugovaných gradienů aneb zvládnou počítače soustavy miliónů rovnic o miliónech neznámých?. Pokroky Mat. Fyz. Astronom. 47 (2002), 103–113.; reference:[6] Brezinski, C.: History of continued fractions and Padé approximants. Springer Series in Computational Mathematics, vol. 12. Springer-Verlag, Berlin, 1991. MR 1083352; reference:[7] Carson, E., Rozložník, M., Strakoš, Z., Tichý, P., Tůma, M.: The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology. SIAM J. Sci. Comput. 40 (2018), A3549–A3580. MR 3866570, 10.1137/16M1103361; reference:[8] Carson, E., Strakoš, Z.: On the cost of iterative computations. Philos. Trans. Roy. Soc. A 378 (2020). MR 4072455; reference:[9] Concus, P., Golub, G. H., O'Leary, D. P.: A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations. In: Bunch, J. R., Rose, D. J.: Sparse Matrix Computations, Academic Press, New York, 2018, 309–332. MR 0501821; reference:[10] Daniel, J. W.: The conjugate gradient method for linear and nonlinear operator equations. SIAM J. Numer. Anal. 4 (1967), 10–26. Zbl 0154.40302, MR 0217987, 10.1137/0704002; reference:[11] Duintjer Tebbens, J., Hnětynková, I., Plešinger, M., Strakoš, Z., Tichý, P.: Analýza metod pro maticové výpočty – základní metody. MatfyzPress, Praha, 2012.; reference:[12] Engeli, M., Ginsburg, T., Rutishauser, H., Stiefel, E.: Refined iterative methods for computation of the solution and the eigenvalues of self-adjoint boundary value problems. Mitt. Inst. Angew. Math. Zürich 8, Birkhäuser, Basel, 1959. MR 0145689; reference:[13] Fischer, B.: Polynomial based iteration methods for symmetric linear systems. Wiley-Teubner Series Advances in Numerical Mathematics, John Wiley and Sons, Chichester, 1996. MR 1449136; reference:[14] Gergelits, T., Mardal, K.-A., Nielsen, B. F., Strakoš, Z.: Laplacian preconditioning of elliptic PDEs: Localization of the eigenvalues of the discretized operator. SIAM J. Numer. Anal. 57 (2019), 1369–1394. MR 3961990, 10.1137/18M1212458; reference:[15] Gergelits, T., Nielsen, B. F., Strakoš, Z.: Generalized spectrum of second order differential operators. SIAM J. Numer. Anal. 58 (2020), 2193–2211. MR 4128499, 10.1137/20M1316159; reference:[16] Gergelits, T., Strakoš, Z.: Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations. Numer. Algorithms 65 (2014), 759–782. MR 3187962, 10.1007/s11075-013-9713-z; reference:[17] Greenbaum, A.: Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences. Linear Algebra Appl. 113 (1989), 7–63. MR 0978581, 10.1016/0024-3795(89)90285-1; reference:[18] Greenbaum, A.: Iterative methods for solving linear systems. Frontiers in Applied Mathematics, vol. 17. SIAM, Philadelphia, PA, 1997. MR 1474725; reference:[19] Greenbaum, A., Pták, V., Strakoš, Z.: Any nonincreasing convergence curve is possible for GMRES. SIAM J. Matrix Anal. Appl. 17 (1996), 465–469. MR 1397238, 10.1137/S0895479894275030; reference:[20] Greenbaum, A., Strakoš, Z.: Predicting the behavior of finite precision Lanczos and conjugate gradient computations. SIAM J. Matrix Anal. Appl. 13 (1992), 121–137. MR 1146656, 10.1137/0613011; reference:[21] Greenbaum, A., Strakoš, Z.: Matrices that generate the same Krylov residual spaces. In: Recent advances in iterative methods. IMA Vol. Math. Appl., vol. 60. Springer, New York, 1994, 95–118. MR 1332745; reference:[22] Hayes, R. M.: Iterative methods for solving linear problems in Hilbert space. PhD. Thesis. Univ. of California at Los Angeles, 1954.; reference:[23] Hestenes, M. R., Stiefel, E.: Methods of conjugate gradients for solving linear systems. J. Research Nat. Bur. Standards 49 (1952), 409–436. Zbl 0048.09901, MR 0060307, 10.6028/jres.049.044; reference:[24] Karush, W.: Convergence of a method for solving linear problems. Proc. Amer. Math. Soc. 3 (1952), 839–851. MR 0055794, 10.1090/S0002-9939-1952-0055794-4; reference:[25] Lanczos, C.: An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J. Research Nat. Bur. Standards 45 (1950), 255–282. MR 0042791, 10.6028/jres.045.026; reference:[26] Lanczos, C.: Solution of systems of linear equations by minimized iterations. J. Research Nat. Bur. Standards 49 (1952), 33–53. MR 0051583, 10.6028/jres.049.006; reference:[27] Lanczos, C.: Chebyshev polynomials in the solution of large-scale linear systems. In: Proceedings of the Association for Computing Machinery, Toronto, 1952, Sauls Lithograph Co., Washington, DC, 1953, 124–133. MR 0067580; reference:[28] Lanczos, C.: Why Mathematics?. Lecture given at the Annual Meeting of the Irish Mathematical Association on October 31, 1966, at Belfield, Dublin.; reference:[29] Liesen, J., Strakoš, Z.: Krylov subspace methods: Principles and analysis. Oxford University Press, Oxford, 2013. MR 3024841; reference:[30] Ljusternik, L. A.: Solution of problems in linear algebra by the method of continued fractions. Trudy Voronezh. Gos. Inst., Voronezh 2 (1956), 85–90. MR 0084856; reference:[31] Málek, J., Strakoš, Z.: Preconditioning and the conjugate gradient method in the context of solving PDEs. SIAM Spotlights, vol. 1. SIAM, Philadelphia, PA, 2015. MR 3307335; reference:[32] Meurant, G., Strakoš, Z.: The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Acta Numer. 15 (2006), 471–542. MR 2269746, 10.1017/S096249290626001X; reference:[33] Murphy, M. F., Golub, G. H., Wathen, A. J.: A note on preconditioning for indefinite linear systems. SIAM J. Sci. Comput. 21 (2000), 1969–1972. MR 1762024, 10.1137/S1064827599355153; reference:[34] Paige, C. C.: Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem. Linear Algebra Appl. 34 (1980), 235–258. MR 0591433, 10.1016/0024-3795(80)90167-6; reference:[35] Pearson, J. W., Pestana, J.: Preconditioned iterative methods for scientific applications. GAMM-Mitt., to appear (2020).; reference:[36] Pozza, S., Strakoš, Z.: Algebraic description of the finite Stieltjes moment problem. Linear Algebra Appl. 561 (2019), 207–227. MR 3868647, 10.1016/j.laa.2018.09.026; reference:[37] Reid, J. K.: On the method of conjugate gradients for the solution of large sparse systems of linear equations. In: Large sparse sets of linear equations, Proc. Conf., St. Catherine’s Coll., Oxford, 1970, Academic Press, London, 1971, 231–254. MR 0341836; reference:[38] Rektorys, K.: Variační metody v inženýrských problémech a v problémech matematické fyziky. SNTL, Praha, 1974. MR 0487652; reference:[39] Saad, Y.: Iterative methods for sparse linear systems. 2nd ed., SIAM, Philadelphia, PA, 2003. MR 1990645; reference:[40] Stieltjes, T. J.: Recherches sur les fractions continues. Ann. Fac. Sci. Toulouse Sci. Math. Sci. Phys. 8 (1894), J. 1–122. Reprinted in Oeuvres II (P. Noordhoff, Groningen, 1918), 402–566. English translation Investigations on continued fractions. in Thomas Jan Stieltjes, Collected Papers, Vol. II, Springer-Verlag, Berlin, 1993, 609–745. MR 1508159; reference:[41] Strakoš, Z., Tichý, P.: On error estimation in the conjugate gradient method and why it works in finite precision computations. Electron. Trans. Numer. Anal. 13 (2002), 56–80. MR 1943611; reference:[42] Thurston, W.: On proof and progress in Mathematics. Bull. Amer. Math. Soc. 30 (1994), 161–177. MR 1249357, 10.1090/S0273-0979-1994-00502-6; reference:[43] Vorobyev, Yu. V.: Methods of moments in applied mathematics. Translated from the Russian original published in 1958 by Bernard Seckler, Gordon and Breach Science Publishers, New York, 1965. MR 0184400; reference:[44] van der Vorst, H. A.: Preconditioning by incomplete decompositions. PhD Thesis. University of Utrecht, 1982.; reference:[45] Wathen, A.: Preconditioning. Acta Numer. 24 (2015), 329–376. MR 3349311, 10.1017/S0962492915000021; reference:[46] Zeidler, E.: Oxford users' guide to mathematics. Oxford University Press, Oxford, 2004. Translated from the 1996 German original by Bruce Hunt. MR 3157455

Dostupnost: http://hdl.handle.net/10338.dmlcz/148475

Distributed optimization with measurement and communication delays via stochastic extremum seeking. (English)

Autoři: ZHANG, Pei-Pei LIU, Shu-Jun

Zdroj: Journal Of Sichuan University (Natural Sciences Division) / Sichuan Daxue Xuebao-Ziran Kexueban; Mar2025, Vol. 62 Issue 2, p309-324, 16p

Témata: MATHEMATICAL optimization, STOCHASTIC convergence, NONLINEAR systems, ALGORITHMS, END-to-end delay, COMPUTER simulation

HIGH-PERFORMANCE COMPUTATION OF THE EXPONENTIAL OF A LARGE SPARSE MATRIX.

Autoři: FENG WU KAILING ZHANG LI ZHU a další

Zdroj: SIAM Journal on Matrix Analysis & Applications; 2021, Vol. 42 Issue 4, p1636-1655, 20p

Témata: SPARSE matrices

Operational Matching Optimization of Large-Scale Natural Gas Storage Compressor Units.

Autoři: Chen, Hua Liu, Jianfeng Wang, Junfei a další

Zdroj: Energies (19961073); Oct2025, Vol. 18 Issue 20, p5435, 15p

Témata: COMPRESSORS, PROCESS optimization, GAS reservoirs, NATURAL gas, MATHEMATICAL programming, ENERGY consumption, MATHEMATICAL models, OPTIMIZERS (Computer software)

Geografický termín: CHINA

Reduction of losses in electric power distribution system–dynamic reconfiguration case study.

Autoři: Novoselnik, Branimir Bago, Drago Matuško, Jadranko a další

Zdroj: Control Theory & Technology; Feb2025, Vol. 23 Issue 1, p49-63, 15p