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The Theory of Matrices, / F R Gantmakher

By: Contributor(s): Material type: TextTextPublication details: New York, American Mathematical Society 1959Description: x,374p. ix,276p. 24cmISBN:
  • 9781470409166
  • 978470409173
Subject(s): DDC classification:
  • 512.896 GAN
Contents:
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.
Summary: This text presents an examination of the theory of matrices.
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Holdings
Item type Current library Call number Materials specified Status Barcode
Mathematics Departmental Library Mathematics Departmental Library SNU LIBRARY 512.896 GAN (Browse shelf(Opens below)) Vol 1 Available M052
Mathematics Departmental Library Mathematics Departmental Library SNU LIBRARY 512.896 GAN (Browse shelf(Opens below)) Vol 2 Available M053
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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.

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