Theory of matrices /
F R Gantmakher
- Indian edition
- New York ; Haryana ; AMS Chelsea Publishing 2013.
- ix, 276 pages 24 cm
Gifted by NBHM
Volume 1: -- 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.