Horn, Roger A.; Johnson, Charles R. Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. (English) Zbl 0801.15001 Cambridge: Cambridge University Press,. viii, 607 p. £19.95; $ 29.95/pbk (1994). See the review of the original edition (1991; Zbl 0729.15001). Cited in 4 ReviewsCited in 448 Documents MSC: 15-02 Research exposition (monographs, survey articles) pertaining to linear algebra 15A18 Eigenvalues, singular values, and eigenvectors 15A24 Matrix equations and identities 15A27 Commutativity of matrices 15A42 Inequalities involving eigenvalues and eigenvectors 15A45 Miscellaneous inequalities involving matrices 15B48 Positive matrices and their generalizations; cones of matrices 15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory 15A69 Multilinear algebra, tensor calculus 53A45 Differential geometric aspects in vector and tensor analysis Keywords:Hadamard-Schur product; Lyapunov stability; functions of matrices; singular values; eigenvalues; numerical range; Toeplitz-Hausdorff convexity; Gershgorin-type localization; Lyapunov equation; \(M\)-matrices; Kronecker product; linear matrix equations; Shoda characterizations; commutators; Frobenius characterizations; invariant norm; trace; exponentials; matrix analysis Citations:Zbl 0704.15002; Zbl 0576.15001; Zbl 0729.15001 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{C. R. Johnson}, Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. Cambridge: Cambridge University Press (1994; Zbl 0801.15001)