A relation between the weighted logarithmic norm of a matrix and the Lyapunov equation
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Publication:1587318
DOI10.1023/A:1022380116022zbMath0963.15030OpenAlexW116296291MaRDI QIDQ1587318
Publication date: 6 February 2001
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1022380116022
Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
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Convergence Results of the Biconjugate Residual Algorithm for Solving Generalized Sylvester Matrix Equation ⋮ Tensor logarithmic norm and its applications ⋮ Extension and further development of the differential calculus for matrix norms with applications. ⋮ Estimating the delay margin for stability of linear delay systems by the weighted matrix measure ⋮ Stability analysis for linear delay differential equations and numerical examples ⋮ New upper bounds for free linear and nonlinear vibration systems with applications of the differential calculus of norms ⋮ Generalized reflexive and anti-reflexive solutions of the coupled Sylvester matrix equations via CD algorithm ⋮ Stability analysis for delay differential equations with multidelays and numerical examples ⋮ Solution of the matrix eigenvalue problem \(VA+A^{*}V=\mu V\) with applications to the study of free linear dynamical systems ⋮ Illustration of the logarithmic derivatives by examples suitable for classroom teaching ⋮ New upper bounds for excited vibration systems with applications of the differential calculus of norms ⋮ Two-sided bounds on some output-related quantities in linear stochastically excited vibration systems with application of the differential calculus of norms ⋮ Differential calculus for the matrix norms |·|1 and |·|∞ with applications to asymptotic bounds for periodic linear systems ⋮ Two-sided bounds for the asymptotic behaviour of free nonlinear vibration systems with application of the differential calculus of norms ⋮ Bounds for exponentially stable semigroups ⋮ Unnamed Item
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