Determination of transient effect in time-dependent linear dynamical system using condition spectrum

DOI10.1007/s12591-022-00623-wMaRDI QIDQ6568963

G. Krishna Kumar

Publication date: 8 July 2024

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

spectrumpseudospectrumcondition spectrumresolvent normtransient effecttime dependent linear dynamical system

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

Norm behavior of Jordan and bidiagonal matrices

Cites Work

• Linear maps preserving pseudospectrum and condition spectrum
• Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues
• Semigroups of linear operators and applications to partial differential equations
• Level sets of the condition spectrum
• The condition pseudospectrum subset and related results
• On Pseudospectra and Power Growth
• Almost multiplicative functions on commutative Banach algebras
• Super-identical pseudospectra
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