Výsledky vyhledávání - "Applications of operator theory in numerical analysis"

A Moment Matrix Approach to Multivariable Cubature: A moment matrix approach to multivariable cubature

Autoři: Srdjan Petrovic Lawrence A. Fialkow

Zdroj: Integral Equations and Operator Theory. 52:85-124

Témata: cubature rules, matrix completion method, minimal nodes configurations, Numerical quadrature and cubature formulas, minimal cubature formulas, 01 natural sciences, Approximate quadratures, Applications of operator theory in numerical analysis, Moment problems, Numerical integration, positive moment matrix, Hermitian, skew-Hermitian, and related matrices, 0101 mathematics, flat extensions, Linear operator methods in interpolation, moment and extension problems

Popis souboru: application/xml

Přístupová URL adresa: http://homepages.wmich.edu/~petrovic/research/r19la.pdf
https://zbmath.org/2176183
https://doi.org/10.1007/s00020-003-1334-9
https://rd.springer.com/article/10.1007/s00020-003-1334-9
https://link.springer.com/article/10.1007%2Fs00020-003-1334-9
http://homepages.wmich.edu/%7Epetrovic/research/r19la.pdf

Convergence and approximation of semigroups of Lipschitz operators

Autoři: Yoshikazu Kobayashi Naoki Tanaka

Zdroj: Nonlinear Analysis: Theory, Methods & Applications. 61:781-821

Témata: strong convergence, Applications of operator theory in numerical analysis, infinitesimal generator, Semigroups of nonlinear operators, 0101 mathematics, 01 natural sciences, semigroups of Lipschitz operators

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0362546X05000556

Existence Tests for Solutions of Nonlinear Equations Using Borsuk's Theorem: Existence tests for solutions of nonlinear equations using Borsuk's theorem

Autoři: Andreas Frommer Bruno Lang

Zdroj: SIAM Journal on Numerical Analysis. 43:1348-1361

Témata: Applications of operator theory in numerical analysis, Fixed-point theorems, General methods in interval analysis, Numerical computation of solutions to systems of equations, Miranda's existence theorem, computational verification, Algorithms with automatic result verification, Borsuk's theorem, nonlinear systems, 0101 mathematics, interval analysis, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2220053
https://doi.org/10.1137/s0036142903438148
https://epubs.siam.org/doi/10.1137/S0036142903438148
https://locus.siam.org/doi/abs/10.1137/S0036142903438148
https://dialnet.unirioja.es/servlet/articulo?codigo=1305550
https://dblp.uni-trier.de/db/journals/siamnum/siamnum43.html#FrommerL05

Excessive Gap Technique in Nonsmooth Convex Minimization: Excessive gap technique in nonsmooth convex minimization

Autoři: NESTEROV, Yurii

Zdroj: SIAM Journal on Optimization. 16:235-249

Témata: Convex programming, convex optimization, Applications of functional analysis in optimization, convex analysis, mathematical programming, economics, Nonsmooth analysis, 0211 other engineering and technologies, black-box oracle, optimal methods, complexity theory, 02 engineering and technology, Minimax problems in mathematical programming, nonsmooth optimization, Applications of operator theory in numerical analysis, Numerical mathematical programming methods, Nonlinear programming, structural optimization, convex optimization, non-smooth optimization, complexity theory, black-box oracle, optimal methods, structural optimization, Abstract computational complexity for mathematical programming problems

Popis souboru: application/xml

Přístupová URL adresa: https://dblp.uni-trier.de/db/journals/siamjo/siamjo16.html#Nesterov05
http://dial.uclouvain.be/pr/boreal/object/boreal:23378
https://epubs.siam.org/doi/abs/10.1137/S1052623403422285
https://dl.acm.org/doi/10.1137/S1052623403422285
https://doi.org/10.1137/S1052623403422285
http://alfresco.uclouvain.be/alfresco/download/attach/workspace/SpacesStore/57d67cc9-176d-49ad-ba5e-7b5e3b7be994/coredp_2003_35.pdf

Approximation of Abstract Differential Equations: Approximation of abstract differential equations

Autoři: GUIDETTI, DAVIDE B. Karasoezen S. Piskarev

Zdroj: Journal of Mathematical Sciences. 122:3013-3054

Témata: One-parameter semigroups and linear evolution equations, numerical analysis, Applications of operator theory to differential and integral equations, Nonlinear differential equations in abstract spaces, \(C\)-semigroups, regularized semigroups, 01 natural sciences, Groups and semigroups of linear operators, Applications of operator theory in numerical analysis, Linear differential equations in abstract spaces, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Numerical solutions to equations with linear operators, Research exposition (monographs, survey articles) pertaining to numerical analysis, Bibliographies for mathematics in general, abstract differential equations, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2182392
https://doi.org/10.1023/b:joth.0000029696.94590.94
https://open.metu.edu.tr/handle/11511/85273
https://link.springer.com/article/10.1023/B:JOTH.0000029696.94590.94
https://hdl.handle.net/11585/14157

Optimal Error Estimates in Operator-Norm Approximations of Semigroups: Optimal error estimates in operator-norm approximations of semigroups

Autoři: Vygantas Paulauskas Vidmantas Bentkus

Zdroj: Letters in Mathematical Physics. 68:131-138

Témata: Applications of operator theory to differential and integral equations, Remainders in approximation formulas, Ritt condition, 01 natural sciences, Groups and semigroups of linear operators, Linear differential equations in abstract spaces, Applications of operator theory in numerical analysis, Numerical solutions to equations with linear operators, Chernoff theory, holomorphic semigroups, 0101 mathematics, Euler approximations, Error bounds for numerical methods for ordinary differential equations, Trotter-Kato formula

Popis souboru: application/xml

Přístupová URL adresa: https://ui.adsabs.harvard.edu/abs/2004LMaPh..68..131B/abstract
https://link.springer.com/10.1023/B:MATH.0000045552.97035.87
https://link.springer.com/article/10.1023/B:MATH.0000045552.97035.87
http://www.mif.vu.lt/katedros/mak/doc/paulauskas/paul.pdf

Theory of Linear Dissipative Scattering Systems with Discrete Time and with Space States of the Class π k: Theory of linear dissipative scattering systems with discrete time and with space states of the class \(\pi_\kappa\)

Autoři: S. M. Saprikin

Zdroj: Journal of Mathematical Sciences. 120:1752-1765

Témata: Linear operators on spaces with an indefinite metric, Applications of operator theory in numerical analysis, Scattering theory of linear operators, 0101 mathematics, Applications of operator theory in systems, signals, circuits, and control theory, Linear accretive operators, dissipative operators, etc, minimal optimal dissipative scattering system, Pontryagin state space, 01 natural sciences, Popov-type stability of feedback systems, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), generalized Schur class

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/B%3AJOTH.0000018873.75790.45

Inversion of Displacement Operators: Inversion of displacement operators

Autoři: Victor Y. Pan Xinmao Wang

Zdroj: SIAM Journal on Matrix Analysis and Applications. 24:660-677

Témata: tangential confluent Nevanlinna-Pick problem, Applications of operator theory in numerical analysis, Analysis of algorithms and problem complexity, displacement rank, Toeplitz operators, Hankel operators, Wiener-Hopf operators, structured matrices, 0102 computer and information sciences, 0101 mathematics, Direct numerical methods for linear systems and matrix inversion, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, inverse displacement operators

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2027918
https://doi.org/10.1137/s089547980238627x
https://epubs.siam.org/doi/abs/10.1137/S089547980238627X
https://dl.acm.org/doi/10.1137/S089547980238627X
http://comet.lehman.cuny.edu/vpan/pdf/pan195.pdf
https://dblp.uni-trier.de/db/journals/siammax/siammax24.html#PanW03

The method of alternating projections and the method of subspace corrections in Hilbert space

Autoři: Jinchao Xu Ludmil T. Zikatanov

Zdroj: Journal of the American Mathematical Society. 15:573-597

Témata: Linear operator approximation theory, Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Babuška-Brezzi conditions, Numerical methods of relaxation type, Numerical solution of discretized equations for boundary value problems involving PDEs, General theory of numerical analysis in abstract spaces, method of alternate projections, 01 natural sciences, method of subspace corrections, linear variational problem, domain decomposition, Applications of operator theory in numerical analysis, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, 0101 mathematics, multigrid, product of nonexpansive operators

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/jams/2002-15-03/S0894-0347-02-00398-3/S0894-0347-02-00398-3.pdf
https://zbmath.org/1739909
https://doi.org/10.1090/s0894-0347-02-00398-3
https://dialnet.unirioja.es/servlet/articulo?codigo=676879
https://www.ams.org/jams/2002-15-03/S0894-0347-02-00398-3/S0894-0347-02-00398-3.pdf
https://www.ams.org/journals/jams/2002-15-03/S0894-0347-02-00398-3/
https://pennstate.pure.elsevier.com/en/publications/the-method-of-alternating-projections-and-the-method-of-subspace-

Renormalised Steepest Descent in Hilbert Space Converges to a Two-Point Attractor: Renormalised steepest descent in Hilbert space converges to a two-point attractor.

Autoři: Henry P. Wynn Luc Pronzato Anatoly Zhigljavsky

Zdroj: Acta Applicandae Mathematica. 67:1-18

Témata: gradient, Convex programming, period-2 cycles, Applications of operator theory in numerical analysis, Dynamical systems in numerical analysis, steepest descent, quadratic operator, asymptotic behaviour, Hilbert space, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1023/A:1010680020662.pdf
https://link.springer.com/article/10.1023/A%3A1010680020662

A direct integral decomposition of the wavelet representation

Autoři: Judith A. Packer Keith F. Taylor Lek-Heng Lim

Zdroj: Proceedings of the American Mathematical Society. 129:3057-3067

Témata: Nontrigonometric harmonic analysis involving wavelets and other special systems, 01 natural sciences, 22D40, Numerical methods for wavelets, 0103 physical sciences, FOS: Mathematics, 47C05, group representations, 22D45, 47N40, Representation Theory (math.RT), 0101 mathematics, dilation matrix, discrete group, 47D25, Baumslag-Solitar groups, Abstract operator algebras on Hilbert spaces, 46L99, Linear operators in algebras, wavelet representation, Representations of group algebras, Induced representations for locally compact groups, Functional Analysis (math.FA), Mathematics - Functional Analysis, Applications of operator theory in numerical analysis, wavelet set, multivariate wavelets, Automorphism groups of locally compact groups, integral decomposition, Mathematics - Representation Theory

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/proc/2001-129-10/S0002-9939-01-05928-7/S0002-9939-01-05928-7.pdf
http://arxiv.org/abs/math/0003067
https://zbmath.org/1614775
https://doi.org/10.1090/s0002-9939-01-05928-7
https://galton.uchicago.edu/~lekheng/work/pams.pdf
https://www.ams.org/proc/2001-129-10/S0002-9939-01-05928-7/S0002-9939-01-05928-7.pdf
http://www.stat.uchicago.edu/~lekheng/work/pams.pdf
https://www.jstor.org/stable/2668842
http://ui.adsabs.harvard.edu/abs/2000math......3067L/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=735467

On analytic solutions of operator differential equations: On analytic solutions to operator differential equations

Autoři: M. L. Gorbachuk

Zdroj: Ukrainian Mathematical Journal. 52:680-693

Témata: Cauchy problem, One-parameter semigroups and linear evolution equations, Formal solutions and transform techniques for ordinary differential equations in the complex domain, Growth and boundedness of solutions to ordinary differential equations, Oscillation, growth of solutions to ordinary differential equations in the complex domain, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, differential-operator equation, 01 natural sciences, Linear differential equations in abstract spaces, Applications of operator theory in numerical analysis, analytic vector, Explicit solutions, first integrals of ordinary differential equations, 0101 mathematics, entire vector

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007%2FBF02487281
https://link.springer.com/content/pdf/10.1007/BF02487281.pdf

The truncated complex $K$-moment problem: The truncated complex \(K\)-moment problem

Autoři: Raúl E. Curto Lawrence A. Fialkow

Zdroj: Transactions of the American Mathematical Society. 352:2825-2855

Témata: localizing matrix, finitely atomic representing measure, truncated complex moment problem, 0211 other engineering and technologies, 02 engineering and technology, Moment problems and interpolation problems in the complex plane, 01 natural sciences, moment matrix extension, Applications of operator theory in numerical analysis, semi-algebraical sets, Moment problems, Software, source code, etc. for problems pertaining to linear algebra, Hermitian, skew-Hermitian, and related matrices, Dilations, extensions, compressions of linear operators, flat extensions of positive matrices, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/tran/2000-352-06/S0002-9947-00-02472-7/S0002-9947-00-02472-7.pdf
https://zbmath.org/1449833
https://doi.org/10.1090/s0002-9947-00-02472-7
https://www.ams.org/tran/2000-352-06/S0002-9947-00-02472-7/S0002-9947-00-02472-7.pdf
https://www.ams.org/journals/tran/2000-352-06/S0002-9947-00-02472-7/

Evolution equations governed by families of weighted operators

Autoři: J.F. Couchouron P. Ligarius

Zdroj: Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 16:299-334

Témata: Cauchy problem, 0209 industrial biotechnology, infinite-dimensional system, Equations involving nonlinear operators (general), Initial value problems for linear higher-order PDEs, weak* convergence, 02 engineering and technology, Nonlinear differential equations in abstract spaces, 01 natural sciences, Higher-order parabolic equations, coherence, Applications of operator theory in numerical analysis, mild solution, 0101 mathematics, Mathematical Physics, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1287844
https://doi.org/10.1016/s0294-1449(99)80016-x
https://www.sciencedirect.com/science/article/abs/pii/S029414499980016X
http://ui.adsabs.harvard.edu/abs/1999AIHPC..16..299C/abstract
https://www.sciencedirect.com/science/article/pii/S029414499980016X
https://eudml.org/doc/78467
https://dial.uclouvain.be/pr/boreal/object/boreal:44467
http://www.numdam.org/item/AIHPC_1999__16_3_299_0/

Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices

Autoři: SERRA CAPIZZANO, STEFANO

Zdroj: Linear Algebra and its Applications. 284:307-334

Témata: Numerical Analysis, convergence, Algebra and Number Theory, Numerical computation of matrix norms, conditioning, scaling, Approximation by positive operators, 01 natural sciences, Matrix algebras, linear positive Gram matrix algebra, Weierstrass matrix theory, Korovkin theorems, Gram polynomials and functions, preconditioners, Gram functions, Applications of operator theory in numerical analysis, Toeplitz matrices, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, 65F10, Linear positive operators

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1371017
https://doi.org/10.1016/s0024-3795(98)10072-1
http://www.sciencedirect.com/science/article/pii/S0024379598100721
https://www.sciencedirect.com/science/article/abs/pii/S0024379598100721
https://www.sciencedirect.com/science/article/pii/S0024379598100721
https://hdl.handle.net/11383/4934

Wandering vectors for irrational rotation unitary systems

Autoři: Deguang Han

Zdroj: Transactions of the American Mathematical Society. 350:309-320

Témata: complete wandering subspaces, wandering vector multipliers, Applications of operator theory in numerical analysis, cyclic vector, wandering vector, irrational rotation unitary systems, 0101 mathematics, Noncommutative dynamical systems, 01 natural sciences, von Neumann algebra

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/tran/1998-350-01/S0002-9947-98-02065-0/S0002-9947-98-02065-0.pdf
https://www.jstor.org/stable/117671
https://www.ams.org/tran/1998-350-01/S0002-9947-98-02065-0/S0002-9947-98-02065-0.pdf
https://www.ams.org/journals/tran/1998-350-01/S0002-9947-98-02065-0/home.html
http://users.uoa.gr/~akatavol/newtexfil/group/han.pdf

Affine frames, quasi-affine frames, and their duals

Autoři: Xianliang Shi Joachim Stöckler Charles K. Chui

Zdroj: Advances in Computational Mathematics. 8:1-17

Témata: duality-preservation theorem, quasi-affine frames, Applications of operator theory in numerical analysis, sesquilinear operators, translation-invariance, General harmonic expansions, frames, 0101 mathematics, 01 natural sciences, affine frame

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1129535
https://doi.org/10.1023/a:1018975725857
https://dblp.uni-trier.de/db/journals/adcm/adcm8.html#ChuiSS98
https://link.springer.com/article/10.1023/A:1018975725857

Resonances and the extension of dynamics to rigged Hilbert space: Resonances and the extension of dynamics to rigged Hilbert spaces

Autoři: Yu. A. Kuperin Yu. Melnikov L. A. Dmitrieva a další

Zdroj: Computers & Mathematics with Applications. 34:399-425

Témata: Resonance states, extended resolvent, resonance states, 01 natural sciences, Extended resolvent, Computational Mathematics, Applications of operator theory in numerical analysis, Rigged Hilbert space, Computational Theory and Mathematics, rigged Hilbert space, Modelling and Simulation, 0103 physical sciences, Generalized spectral decomposition, (Generalized) eigenfunction expansions of linear operators, rigged Hilbert spaces, Selfadjoint operator theory in quantum theory, including spectral analysis, \(S\)-matrix theory, etc. in quantum theory, generalized spectral decomposition

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S089812219700148X#!
https://www.sciencedirect.com/science/article/pii/S089812219700148X

On the Convergence of Discretizations for Set Valued Operator Equations: On the convergence of discretizations for set valued operator equations

Autoři: J. Lei

Zdroj: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 77:861-866

Témata: set-valued operators, Applications of operator theory in numerical analysis, Numerical solutions to equations with nonlinear operators, Approximation by operators (in particular, by integral operators), Rate of convergence, degree of approximation, 0101 mathematics, Set-valued operators, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1089976
https://doi.org/10.1002/zamm.19970771111
https://ui.adsabs.harvard.edu/abs/1997ZaMM...77..861L/abstract
http://onlinelibrary.wiley.com/doi/10.1002/zamm.19970771111/abstract
http://ui.adsabs.harvard.edu/abs/1997ZaMM...77..861L/abstract

A method for the numerical solution of integral equations in boundary value problems with finite-order Abelian symmetry groups

Autoři: S. I. Safronov R. P. Tarasov E. V. Zakharov

Zdroj: USSR Computational Mathematics and Mathematical Physics. 30:44-53

Témata: Applications of operator theory in numerical analysis, Numerical solutions to equations with linear operators, Fourier transform, convolution, boundary integral equation, Boundary element methods for boundary value problems involving PDEs, Numerical methods for integral equations, commutative symmetry group of finite order, numerical experiments

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8039
https://doi.org/10.1016/0041-5553(90)90107-4
http://www.sciencedirect.com/science/article/pii/0041555390901074
https://www.sciencedirect.com/science/article/pii/0041555390901074