Numerical Linear Algebra and Optimization

Numerical Linear Algebra and Optimization covers the fundamentals of closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. In 1991, when the book first appeared, these topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true almost 30 years later. As a result, some of the material in this book can be difficult to find elsewhere—in particular, techniques for updating the LU factorization, descriptions of the simplex method applied to all-inequality form, and the analysis of what happens when using an approximate inverse to solve Ax=b. This book is appropriate for students who want to learn about numerical techniques for solving linear systems and/or linear programming using the simplex method.

• ISBN: 9781611976564
• Editorial: SIAM.(Society for Ind.& Applied Mathe.)
• Encuadernacion: Rústica
• Páginas: 426
• Fecha Publicación: 01/06/2021
• Nº Volúmenes: 1
• Idioma: