Constant upper bounds on the matrix exponential norm

DOI10.1515/rnam-2022-0002zbMath1485.65051OpenAlexW4212926303WikidataQ115514275 ScholiaQ115514275MaRDI QIDQ2118990

Grigory V. Zasko, Yuri M. Nechepurenko

Publication date: 23 March 2022

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2022-0002

zbMATH Keywords

upper boundsfield of valuesLyapunov equationsmatrix exponentialoptimal disturbances

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical computation of matrix exponential and similar matrix functions (65F60)

Uses Software

• JDQR
• Eigtool
• JDQZ
• MATLAB expm

Cites Work

• Computing humps of the matrix exponential
• Extremal quadratic Lyapunov functions of systems of second-order equations
• Exponential decay of semigroups in Hilbert space
• Stability and transition in shear flows
• Estimating the operator exponential
• Bounds for exponentially stable semigroups
• Large-scale structures in stratified turbulent Couette flow and optimal disturbances
• A Low-Rank Approximation for Computing the Matrix Exponential Norm
• Amplification of coherent streaks in the turbulent Couette flow: an input–output analysis at low Reynolds number
• A New Scaling and Squaring Algorithm for the Matrix Exponential
• Optimal transient growth and very large–scale structures in turbulent boundary layers
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Templates for the Solution of Algebraic Eigenvalue Problems
• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Constant upper bounds on the matrix exponential norm