Second Logarithmic Derivative of a Complex Matrix in the Chebyshev Norm

DOI10.1137/S0895479897316072zbMath0944.34045MaRDI QIDQ4702273

Ludwig Kohaupt

Publication date: 24 November 1999

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fundamental matrixevolutionmatrix measurecomplex matrixlocal regularityChebyshev normlogarithmic derivativefirst logarithmic derivativesecond logarithmic derivative

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (11)

Extension and further development of the differential calculus for matrix norms with applications. ⋮ New upper bounds for free linear and nonlinear vibration systems with applications of the differential calculus of norms ⋮ 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 ⋮ Differential calculus for some \(p\)-norms of the fundamental matrix with applications ⋮ 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 ⋮ Two-sided bounds on the mean vector and covariance matrix 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 ⋮ Differential calculus for \(p\)-norms of complex-valued vector functions with applications

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