Computing humps of the matrix exponential

DOI10.1016/j.cam.2016.12.031zbMath1360.65136OpenAlexW2562280877WikidataQ115581079 ScholiaQ115581079MaRDI QIDQ515754

Miloud Sadkane, Yuri M. Nechepurenko

Publication date: 16 March 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.12.031

zbMATH Keywords

numerical exampleseigenvaluesnumerical rangeLanczos methodKrylov subspace methodalternating maximizationlarge sparse matrixmatrix exponential normtime integration methodtruncated Taylor series method

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (6)

Optimal perturbations of systems with delayed independent variables for control of dynamics of infectious diseases based on multicomponent actions ⋮ An alternating maximization method for approximating the hump of the matrix exponential ⋮ Maximum response perturbation-based control of virus infection model with time-delays ⋮ On alternating maximization algorithm for computing the hump of matrix powers ⋮ Computation of optimal disturbances for delay systems ⋮ Constant upper bounds on the matrix exponential norm

Uses Software

• Expokit
• Eigtool
• MATLAB expm

Cites Work

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