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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

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

Citations:

Zbl 0523.15003