Applies matrix techniques to the solution of linear systems of equations and eigenvalue problems. Algorithms and computer implementation are presented, and the treatment of sparsity in large order systems and accuracy control are discussed in the light of practical applications.
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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.
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