Titlebook: Computational Methods for General Sparse Matrices; Zahari Zlatev Book 1991 Springer Science+Business Media B.V. 1991 Mathematica.Matrix.al

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Sparse Matrix Technique for Ordinary Differential Equations,ix technique is a very useful option in a package for solving such systems numerically. Such an option, the code . is described in this chapter. . is written for systems of ., but the same ideas can be applied to systems of non-linear ..

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Parallel Orthomin for General Sparse Matrices,positive definiteness, . A has no special structure, such as bandedness, . A is large and contains many zeros. It has been shown that the simple iterative refinement with some kind of dropping of “small” non-zero elements during the factorization (.) can successfully be used to improve the performan

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Orthogonalization Methods,umns (Q.Q=I, I being the identity matrix in R.), D ∈ .. is a diagonal matrix and R ∈ .. is an upper triangular matrix. Very often matrix D is the identity matrix and if this is so, then (12.1) is reduced to

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Iterative Refinement after the Plane Rotations, However, the classical manner of exploiting sparsity (see . is in fact used in the calculations because the drop-tolerance used is so small (T=10.) that practically no non-zero elements are removed during the decomposition process.

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Book 2002ael. Structural analysis is a main part of any design problem, and the analysis often must be repeated many times during the design process. Much work has been done on design-oriented analysis of structures recently and many studies have been published. The purpose of the book is to collect together