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Gantmakher, F. R.

The Theory of Matrices, / F R Gantmakher - New York, American Mathematical Society 1959 - x,374p. ix,276p. 24cm.

I. Matrices and operations on matrices --
II. The algorithm of Gauss and some of its applications --
III. Linear operators in an n-dimensional vector space --
IV. The characteristic polynomial and the minimal polynomial of a matrix --
V. Functions of matrices --
VI. Equivalent transformations of polynomial matrices: Analytic theory of elementary divisors --
VII. The structure of a linear operator in an n-dimensional space --
VIII. Matrix equations --
IX. Linear operators in a unitary space --
X. Quadratic and Hermitian forms --
Volume 2: --
XI. Complex symmetric, skew-symmetric, and orthogonal matrices --
XII. Singular pencils of matrices --
XIII. Matrices with non-negative elements --
XIV. Applications of the theory of matrices to the investigation of systems of linear differential equations --
XV. The problem of Routh-Hurwitz and related questions.

This text presents an examination of the theory of matrices.

ISBN: 9781470409166 978470409173

Subjects--Topical Terms:
Mathematics
Algebra
Matrices
Matrix

Dewey Class. No.: 512.896 GAN