Marek, Ivo; Žitný, Karel Matrix analysis for applied sciences. Vol. 2. (English) Zbl 0613.15002 Teubner-Texte zur Mathematik, Bd. 84. Leipzig: BSB B. G. Teubner Verlagsgesellschaft. 149 p. M 15.00 (1986). [For Vol. 1 (1983) see Zbl 0523.15003.] This book is the second volume of a text intermediate between linear algebra and functional analysis. It presents advanced matrix theory in a lucid functional analytic setting. The main subjects are: Decomposition, stability, the spectral theorem, Jordan’s representation, variational principles, pseudoinverses and the Moore-Penrose operator. Moreover, the book contains lots of good exercises. Reviewer: J.de Graaf Cited in 3 Documents MSC: 15-02 Research exposition (monographs, survey articles) pertaining to linear algebra 47-02 Research exposition (monographs, survey articles) pertaining to operator theory 15A18 Eigenvalues, singular values, and eigenvectors 47A10 Spectrum, resolvent 15A21 Canonical forms, reductions, classification 15A09 Theory of matrix inversion and generalized inverses Keywords:functional analytic setting; Decomposition; stability; spectral theorem; Jordan’s representation; variational principles; pseudoinverses; Moore- Penrose operator; exercises Citations:Zbl 0523.15003 PDFBibTeX XML