Modern Aspects of Linear Algebra (Translations of Mathematical Monographs) - Hardcover

Inhaltsangabe

Begins with discussion of Euclidean linear spaces and orthogonal and unitary linear transformations (and singular values), then addresses matrices of operators in the Euclidean space, including unitary similar transformations and the Schur Theorem; alternation theorems; the Weyl Inequalities; variational principles; resolvent and dichotomy of spectrum; quadratic forms in the spectrum dichotomy problem; matrix equations and projections; and the Hausdorff set of a matrix. The last part, addressing the application of spectral analysis, covers matrix operators as models of differential operators; the application of the theory of functions of complex variables; and computational algorithms of spectral analysis. Translated from a Russian text first published in 1991, "with the participation of Scientific Books," Novosibirsk, Russia. Annotation c. by Book News, Inc., Portland, Or.

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