Search Results - Numerical computation of matrix exponential AND similar matrix functions~

A Low-Memory Lanczos Method with Rational Krylov Compression for Matrix Functions: A low-memory Lanczos method with rational Krylov compression for matrix functions

Authors: Angelo A. Casulli Igor Simunec

Source: SIAM Journal on Scientific Computing. 47:A1358-A1382

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, Computational methods for sparse matrices, matrix function, 65F60, 65F50, Mathematics - Numerical Analysis, rational Krylov, low memory

File Description: application/xml

Access URL: http://arxiv.org/abs/2403.04390

Computing Functions of Symmetric Hierarchically Semiseparable Matrices: Computing functions of symmetric hierarchically semiseparable matrices

Authors: Angelo A. Casulli Daniel Kressner Leonardo Robol

Source: SIAM Journal on Matrix Analysis and Applications. 45:2314-2338

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, hierarchically semiseparable, FOS: Mathematics, 65F60, 15B99, functions of matrices, Special matrices, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), rational Krylov

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Access URL: http://arxiv.org/abs/2402.17369
https://epubs.siam.org/doi/10.1137/24M1642354
https://doi.org/10.1137/24m1642354
https://hdl.handle.net/11568/1293575

Mixed-Precision Paterson–Stockmeyer Method for Evaluating Polynomials of Matrices: Mixed-precision Paterson-Stockmeyer method for evaluating polynomials of matrices

Authors: Xiaobo Liu

Source: SIAM Journal on Matrix Analysis and Applications. 46:811-835

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, mixed-precision algorithm, arbitrary-precision arithmetic, Roundoff error, Interval and finite arithmetic, matrix function, FOS: Mathematics, 15A16, 65F60, 65G50, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Paterson-Stockmeyer method, rounding error analysis, matrix polynomial

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Access URL: http://arxiv.org/abs/2312.17396

Computing the Lyapunov operator φ-functions, with an application to matrix-valued exponential integrators: Computing the Lyapunov operator \(\varphi \)-functions, with an application to matrix-valued exponential integrators

Authors: Dongping Li Yue Zhang Xiuying Zhang

Source: Applied Numerical Mathematics. 182:330-343

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, \( \varphi \)-functions, G.1.7, G.1.3, modified scaling and squaring method, Numerical Analysis (math.NA), Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, 65F30, 65F10, 65L05, 15A60, Lyapunov operator, FOS: Mathematics, matrix-valued exponential integrators, Mathematics - Numerical Analysis, 0101 mathematics

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Access URL: http://arxiv.org/abs/2204.12976

Efficient third-order tensor-oriented directional splitting for exponential integrators

Authors: Cassini, Fabio

Source: ETNA - Electronic Transactions on Numerical Analysis. 60:520-540

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, exponential integrators, $\mu$-mode product, directional splitting, $\varphi$-functions, Kronecker sum, Turing patterns, Graphic Processing Units, Kronecker sum, Multilinear algebra, tensor calculus, \( \varphi \)-functions, FOS: Mathematics, graphic processing units, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), directional splitting, Turing patterns, exponential integrators, \( \mu \)-mode product

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2310.07551

A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications: A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on rectangular domains and its applications

Authors: Liu, Xinyu Shen, Jie Zhang, Xiangxiong

Source: Communications in Computational Physics. 36:1157-1185

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, Finite difference methods for boundary value problems involving PDEs, FOS: Computer and information sciences, tensor matrix multiplication, rectangular domain, GPU, Parallel numerical computation, spectral element methods, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, direct solver, Computer Science - Distributed, Parallel, and Cluster Computing, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, Mathematics - Numerical Analysis, Distributed, Parallel, and Cluster Computing (cs.DC), 3D Poisson equation, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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Access URL: http://arxiv.org/abs/2310.00226

Order reduction of matrix exponentials by proper orthogonal decomposition

Authors: Mohammad Dehghan Nayyeri Mohammad Alinejadmofrad

Source: Results in Applied Mathematics, Vol 20, Iss, Pp 100401-(2023)

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, low-rank approximation, 0209 industrial biotechnology, reduced order approximation, Numerical methods for low-rank matrix approximation, matrix compression, order reduction, 02 engineering and technology, Matrix exponential, Low-rank approximation, Proper orthogonal decomposition, Reduced order approximation, Numerical methods for initial value problems involving ordinary differential equations, matrix exponential, proper orthogonal decomposition, QA1-939, Order reduction, 0204 chemical engineering, Mathematics

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Access URL: https://zbmath.org/7786756
https://doi.org/10.1016/j.rinam.2023.100401
https://doaj.org/article/8a611a9c659e4003bd36a6433bac7062

Solving engineering models using hyperbolic matrix functions

Authors: Defez Candel, Emilio Sastre, Jorge Ibáñez González, Jacinto Javier et al.

Contributors: Defez Candel, Emilio Sastre, Jorge Ibáñez González, Jacinto Javier et al.

Source: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)
instname

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, hyperbolic matrix functions, Hyperbolic matrix functions, Hermite matrix polynomial, 01 natural sciences, Initial-boundary value problems for second-order hyperbolic systems, Matrix exponential and similar functions of matrices, TEORIA DE LA SEÑAL Y COMUNICACIONES, CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL, Series expansion, 0101 mathematics, MATEMATICA APLICADA, LENGUAJES Y SISTEMAS INFORMATICOS, series expansion

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Access URL: https://riunet.upv.es/handle/10251/84125
http://www.sciencedirect.com/science/article/pii/S0307904X15005843
https://www.sciencedirect.com/science/article/abs/pii/S0307904X15005843
https://riunet.upv.es/handle/10251/84125
https://www.sciencedirect.com/science/article/pii/S0307904X15005843
https://hdl.handle.net/10251/84125
https://doi.org/10.1016/j.apm.2015.09.050

Solution of the delayed single degree of freedom system equation by exponential matrix method

Authors: SEZER, MEHMET ÇEVİK, MEHMET Bahsi, M. Mustafa

Source: Applied Mathematics and Computation. 242:444-453

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, 2. Zero hunger, exponential collocation method, 0209 industrial biotechnology, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Numerical methods for functional-differential equations, 02 engineering and technology, 0101 mathematics, time delay, single degree of freedom system, 01 natural sciences

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Access URL: https://zbmath.org/6574883
https://doi.org/10.1016/j.amc.2014.05.111
https://dblp.uni-trier.de/db/journals/amc/amc242.html#CevikBS14
https://www.sciencedirect.com/science/article/pii/S009630031400811X
http://www.sciencedirect.com/science/article/pii/S009630031400811X
https://avesis.deu.edu.tr/publication/details/13fac219-c556-4513-a215-aa2ac6cd0eea/oai

Exponential Response Matrix Spectral Nodal Method for the Discrete Ordinates Neutral Particle Transport Model.

Authors: Rivas-Ortiz, Iram B. Sanchez-Dominguez, Dany Marrero Iglesias, Susana et al.

Source: Science & Technology of Nuclear Installations. 6/24/2024, Vol. 2024, p1-7. 7p.

Subject Terms: *GREEN'S functions, *MATRIX exponential, *ANALYTIC geometry, *SPECTRAL sensitivity, *EMPIRICAL research

A universal approach for solving the multi-revolution Lambert's problem.

Authors: McElreath, James Down, Ian M. Majji, Manoranjan

Source: Celestial Mechanics & Dynamical Astronomy. Aug2025, Vol. 137 Issue 4, p1-38. 38p.

Subject Terms: *ORBITAL mechanics, *TRAJECTORY optimization, *NUMERICAL analysis, *SPACE exploration, *MATRIX exponential, *COMPUTATIONAL complexity, *ITERATIVE methods (Mathematics)

Conditioning of the matrix-matrix exponentiation.

Authors: Cardoso, João R. Sadeghi, Amir

Source: Numerical Algorithms; Oct2018, Vol. 79 Issue 2, p457-477, 21p

Subject Terms: MATRIX exponential, MATRIX functions, ENTROPY, ENGINEERING, ALGORITHMS, MATHEMATICAL models

Computation of matrix gamma function.

Authors: Cardoso, João R. Sadeghi, Amir

Source: BIT: Numerical Mathematics; Jun2019, Vol. 59 Issue 2, p343-370, 28p

Subject Terms: MATRIX functions, NUMERICAL functions, SPECIAL functions, MATRIX multiplications, GAMMA functions, DIFFERENTIAL equations

Verified computation of matrix gamma function.

Authors: Miyajima, Shinya

Source: Linear & Multilinear Algebra; May2022, Vol. 70 Issue 7, p1207-1229, 23p

Subject Terms: MATRIX functions, INVARIANT subspaces, EIGENVALUES, GAMMA functions

Method for calculating multiwave scattering by layered anisotropic media

Authors: Yuriy N. Belyayev

Source: Wave Motion. 99:102664

Subject Terms: Numerical computation of matrix exponential and similar matrix functions, Matrix exponential and similar functions of matrices, Wave scattering in solid mechanics, Numerical and other methods in solid mechanics, relative truncation error, 0103 physical sciences, diffraction of elastic waves, acoustic stresses, 01 natural sciences, Diffraction, scattering, matrix exponential

File Description: application/xml

Access URL: https://zbmath.org/7328388
https://doi.org/10.1016/j.wavemoti.2020.102664
https://www.sciencedirect.com/science/article/pii/S0165212520302948

Stochastic Petri Nets with Low Variation Matrix Exponentially Distributed Firing Time.

Authors: Buchholz, P. Horváth, A. Telek, M.

Source: International Journal of Performability Engineering. Sep2011, Vol. 7 Issue 5, p441-454. 14p.

Subject Terms: Petri nets, Stochastic analysis, Exponential functions, Density functionals, Numerical analysis, Matrices (Mathematics), Differential equations

ANALYSIS OF PROBING TECHNIQUES FOR SPARSE APPROXIMATION AND TRACE ESTIMATION OF DECAYING MATRIX FUNCTIONS.

Authors: FROMMER, ANDREAS SCHIMMEL, CLAUDIA SCHWEITZER, MARCEL

Source: SIAM Journal on Matrix Analysis & Applications; 2021, Vol. 42 Issue 3, p1290-1318, 29p

Subject Terms: MATRIX functions, KRYLOV subspace, GRAPH coloring, SPARSE matrices, SPARSE approximations

Exponential Response Matrix Spectral Nodal Method for Discrete Ordinates Neutral Particle Transport Model

Authors: Iram B. Rivas-Ortiz Dany Sanchez-Dominguez Susana Marrero Iglesias et al.

Source: Science and Technology of Nuclear Installations, Vol 2024 (2024)

Subject Terms: Electrical engineering. Electronics. Nuclear engineering, TK1-9971

Access URL: https://doaj.org/article/f0cb2f0da36447df8a16ff50fa5f7723

Forecasting the growth of Ambystoma mexicanum via artificial neural networks based on water quality parameters in intensive culture systems.

Authors: Axel Vera-Cortes, Christian Juan Carbajal-Hernández, José Samantha Morales-Rodríguez, Úrsula et al.

Source: Journal of Animal Behavior & Biometeorology. Jul2025, Vol. 13 Issue 3, p1-18. 18p.

Subjects: Artificial neural networks, Autoregressive models, Water quality, Transfer functions, Water temperature

Optimising the selection of welfare indicators in farm animals.

Authors: Day, Jon Ben Haddou, Mohamed Kylling, Rita et al.

Source: Frontiers in Veterinary Science. 2025, p1-19. 19p.