A further remark on the logarithmic derivatives of a square matrix

DOI10.1016/0024-3795(73)90044-XzbMath0257.15016MaRDI QIDQ2559524

Chia-Ven Pao

Publication date: 1973

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (12)

Extension and further development of the differential calculus for matrix norms with applications. ⋮ Computational methods of linear algebra ⋮ On certain generalized matrix norms ⋮ Solution of the matrix eigenvalue problem \(VA+A^{*}V=\mu V\) with applications to the study of free linear dynamical systems ⋮ The spectral abscissa of partitioned matrices ⋮ Illustration of the logarithmic derivatives by examples suitable for classroom teaching ⋮ A note on minimal norms and the logarithmic derivative of a matrix ⋮ Logarithmic norms and regular perturbations of differential equations ⋮ Two-sided bounds on some output-related quantities in linear stochastically excited vibration systems with application of the differential calculus of norms ⋮ Two-sided bounds for the asymptotic behaviour of free nonlinear vibration systems with application of the differential calculus of norms ⋮ Unnamed Item ⋮ Differential calculus for \(p\)-norms of complex-valued vector functions with applications

Cites Work

• Unnamed Item
• Unnamed Item
• The Bauer fields of values of a matrix
• Perturbations of nonlinear systems of differential equations. II
• Logarithmic derivative of a square matrix
• On the field of values subordinate to a norm
• Semigroups and Asymptotic Stability of Nonlinear Differential Equations

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