Publisher description for The theory of matrices in numerical analysis / Alston S. Householder.
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Suitable for advanced undergraduates and graduate students, this text explores aspects of matrix theory that are most useful in developing and appraising computational methods for solving systems of linear equations and for finding characteristic roots. An introductory chapter covers the Lanczos algorithm, orthogonal polynomials, and determinantal identities. Succeeding chapters examine norms, bounds and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. The final chapters illustrate mathematical principles underlying linear equations and their interrelationships, including methods of successive approximation, direct methods of inversion, normalization and reduction of the matrix, and proper values and vectors. 1964 ed.
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