Methods for Matrix Inversion and for the Solution of Simultaneous Linear Algebraic Equations (Classic Reprint)

Practical, up-to-date guidance on matrix inversion and solving linear equations

This book offers a clear, practice‑oriented approach to a core topic in numerical analysis. It aims to help students and professionals move from theory to real‑world computation, with ready‑to‑use methods and concrete laboratory work.

The author presents a broad selection of methods for inverting matrices and solving AX = Y, balancing essential theory with hands‑on guidance. The material is organized to support learning in two lab‑driven years of study, starting from classical topics and progressing to advanced techniques. It emphasizes cookbook styles for easy implementation, followed by deeper explanations and proofs where appropriate. The work also echoes current practice by including many numerical examples and practical considerations for computation and error handling.

• Step‑by‑step methods you can implement right away, from Gauss elimination to modern iterative approaches.
• A laboratory‑friendly structure that pairs recipes with underlying theory and checks.
• Discussion of computational effort and how to judge the suitability of each method for a given problem.
• Cross‑cutting coverage of topics such as elimination, orthogonalization, block inversion, and descent methods.

Ideal for students and professionals who want a usable reference or a hands‑on textbook for the first topic of the second year in numerical analysis, as well as for laboratory technicians applying these methods to real problems.