Suitable for advanced undergraduates and graduate students, this text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. 1964 edition. Unabridged republication of the 1975 Dover edition.
Introduction to Numerical Analysis : Second Edition by F. B. Hildebrand Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.
A First Course in Numerical Analysis: Second Edition by Anthony Ralston, Philip Rabinowitz Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.
Theoretical Numerical Analysis: An Introduction to Advanced Techniques by Peter Linz Concise text focuses on fundamentals of functional analysis and approximation theory, the major results of theoretical numerical analysis; and specific topics that illustrate the power and usefulness of theoretical analysis. 1979 edition.
Principles of Numerical Analysis by Alston S. Householder This concise treatment by an expert covers the essentials of the solution of finite systems of linear and nonlinear equations as well as the approximate representation of functions. 1953 edition.