Synopses & Reviews
Contains a more substantial discussion on reliability, fuller development of Lanczos method for sparse eigenvalue programs and the related conjugate gradient method for sparse linear equations, a detailed examination of techniques involving sparse matrices, as well as a chapter on the solution of non-linear equations. All the program segments have been set in structured FORTRAN and special considerations required for working with vector and parallel computers are introduced. Features several exercises at the end of each chapter.
Table of Contents
Basic Algebraic and Numerical Concepts.
Some Matrix Problems.
Computer Implementation.
Elimination Methods for Linear Equations.
Sparse Matrix Elimination.
Some Matrix Eigenvalue Problems.
Transformation Methods for Eigenvalue Problems.
Sturm Sequence Methods.
Vector Iterative Methods for Partial Eigensolution.
Orthogonalization and Re-Solution Techniques for Linear Equations.
Iterative Methods for Linear Equations.
Non-Linear Equations.
Parallel and Vector Computing.
Appendices.
Solutions to Exercises.
Index.