Methods of matrix algebra / Marshall C. Pease, III.

Por: Pease, Marshall C. (Marshall Carleton), 1920-Series Mathematics in science and engineering ; v. 16Editor: New York : Academic Press, 1965Descripción: xviii, 406 p. ; 24 cmTema(s): MatricesOtra clasificación: 15-01 (00A69)
Contenidos:
I. Vectors and matricesII. The inner productIII. Eigenvalues and eigenvectorsIV. Hermitian, unitary and normal matricesV. Change of basis, diagonalization, and the Jordan canonical formVI. Functions of a matrixVII. The matricantVIII. Decomposition theorems and the Jordan canonical formIX. The improper inner productX. The dyad expansion and its applicationXI. ProjectorsXII. Singular and rectangular operatorsXIII. The commutator operatorXIV. The direct product and the Kronecker sumXV. Periodic systemsXVI. Application to electromagnetic theoryXVII. Sturm-Liouville systemsXVIII. Markoff matrices and probability theoryXIX. Stability.
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Libros Libros Instituto de Matemática, CONICET-UNS
Libros ordenados por tema 15 P363 (Browse shelf) Available A-2428

"In writing this book, it has been my hope to make available to the physical scientist and engineer some of the more sophisticated techniques of matrix algebra. [...] This book is primarily directed toward the student, at or near the graduate level in physics or some related field, who is interested in any mathematical subject principally because he hopes to make use of it in his own research.''--Foreword.

Bibliografía: p. 396-399.

I. Vectors and matrices -- II. The inner product -- III. Eigenvalues and eigenvectors -- IV. Hermitian, unitary and normal matrices -- V. Change of basis, diagonalization, and the Jordan canonical form -- VI. Functions of a matrix -- VII. The matricant -- VIII. Decomposition theorems and the Jordan canonical form -- IX. The improper inner product -- X. The dyad expansion and its application -- XI. Projectors -- XII. Singular and rectangular operators -- XIII. The commutator operator -- XIV. The direct product and the Kronecker sum -- XV. Periodic systems -- XVI. Application to electromagnetic theory -- XVII. Sturm-Liouville systems -- XVIII. Markoff matrices and probability theory -- XIX. Stability.

MR, 34 #7534

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