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Computer Science and Applied Mathematics: Introduction to Matrix Computations

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Numerical linear algebra is far too broad a subject to treat in a single introductory volume. Stewart has chosen to treat algorithms for solving linear systems, linear least squares problems, and eigenvalue problems involving matrices whose elements can all be contained in the high-speed storage of a computer. By way of theory, the author has chosen to discuss the theory of norms and perturbation theory for linear systems and for the algebraic eigenvalue problem. These choices exclude, among other things, the solution of large sparse linear systems by direct and iterative methods, linear programming, and the useful Perron-Frobenious theory and its extensions. However, a person who has fully mastered the material in this book should be well prepared for independent study in other areas of numerical linear algebra.

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Computer Science and Applied Mathematics: Introduction to Matrix Computations, Gilbert W. Stewart

Sprache
Erscheinungsdatum
1973
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Titel
Computer Science and Applied Mathematics: Introduction to Matrix Computations
Sprache
Englisch
Erscheinungsdatum
1973
Einband
Hardcover
Seitenzahl
441
ISBN10
0126703507
ISBN13
9780126703504
Reihe
Bewertung
5 von 5 Sternen
Beschreibung
Numerical linear algebra is far too broad a subject to treat in a single introductory volume. Stewart has chosen to treat algorithms for solving linear systems, linear least squares problems, and eigenvalue problems involving matrices whose elements can all be contained in the high-speed storage of a computer. By way of theory, the author has chosen to discuss the theory of norms and perturbation theory for linear systems and for the algebraic eigenvalue problem. These choices exclude, among other things, the solution of large sparse linear systems by direct and iterative methods, linear programming, and the useful Perron-Frobenious theory and its extensions. However, a person who has fully mastered the material in this book should be well prepared for independent study in other areas of numerical linear algebra.