Description
This book is a comprehensive introduction to matrix theory, which is necessary for solving linear problems by digital computation. The book covers topics such as the most commonly used diagonalizations or triangularizations of Hermitian and non-Hermitian matrices, the matrix theorem of Jordan, variational principles and perturbation theory of matrices, matrix numerical analysis, and an in-depth analysis of linear computations. The book is suitable for students of pure and applied mathematics, engineering, science, and the social sciences.
Solid, mathematically rigorous introduction covers diagonalizations and triangularizations of Hermitian and non-Hermitian matices, the matrix theorem of Jordan, variational principles and perturbation theory of matrices, matrix numerical analysis, in-depth analysis of linear computations, more. Only Every engineer, mathematician, and scientist requires an understanding of matrix theory in order to solve linear problems by digital computation, and this comprehensive treatment offers a solid introduction to the discipline. Mathematically rigorous for students of pure and applied mathematics, and applications-oriented for students of engineering, science, and the social sciences, it also contains the basic preparation in matrix theory necessary for numerical analysis, making it ideal for students interested in computers. Topics include the most commonly used diagonalizations or triangularizations of Hermitian and non-Hermitian matrices, the matrix theorem of Jordan, variational principles and perturbation theory of matrices, matrix numerical analysis, and an in-depth analysis of linear computations. Very little mathematical background is assumed beyond an elementary grasp of algebra and calculus. Useful problems appear at the end each chapter.
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