Lancaster, P. Theory of matrices. (Teoriya matrits). Transl. from the English. 2nd ed., rev. (Russian) Zbl 0515.15002 Moskva: “Nauka”. 269 p. R. 1.40 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 14 Documents MSC: 15-02 Research exposition (monographs, survey articles) pertaining to linear algebra 15A03 Vector spaces, linear dependence, rank, lineability 15A15 Determinants, permanents, traces, other special matrix functions 15A18 Eigenvalues, singular values, and eigenvectors 49R50 Variational methods for eigenvalues of operators (MSC2000) 15A21 Canonical forms, reductions, classification 15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory 15A24 Matrix equations and identities 34D20 Stability of solutions to ordinary differential equations 15B48 Positive matrices and their generalizations; cones of matrices 70J99 Linear vibration theory Keywords:theory of finite dimensional linear spaces; matrix algebra; determinants; variational methods for eigenvalues; perturbation theory of eigenvalues; estimates of the sizes of eigenvalues; similarity; minimal polynomial; rational normal form; Jordan normal form; matrix and vector norms; matrix equations; Perron-Frobenius theory; theory of small vibrations Citations:Zbl 0186.053 PDFBibTeX XML