Titlebook: Computer Algorithms for Solving Linear Algebraic Equations; The State of the Art Emilio Spedicato Conference proceedings 1991 Springer-Verl

Irremediable

同音

A Splitting Method for Large Sparse Linear Systems on a Multivector Computer,rix is symmetric positive definite, «good» estimates for the iterative parameters have been obtained. In this case, also, a polynomial acceleration of the method has been considered. The results of some computational experiments on CRAY Y-MP have been reported.

蚀刻术

Scheduling Parallel Factorization Algorithms on a Shared Memory Computer,equential algorithm. We then apply these tools to Gauss-Jordan method, several Gaussian elimination algorithms, Cholesky decomposition and Doolittle reduction and QR factorization. In a second part, we examine the parallelization of Givens factorization and review several complexity results.

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Clumsy

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Classical Methods for Linear Equations,tions plus divisions is a polynomial in .. If . is large the amount of work required to solve equation (1.1) will depend essentially on the leading term of this polynomial and we shall denote that term by µ. Thus, for a particular method, µ is a rough measure of the time taken by a computer to solve equation (1.1) for a given size of matrix ..

mechanical

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两栖动物

Algorithms for Linear Least Squares Problems,ation bounds based on componentwise perturbations in the data are given. The SVD is expensive to compute, and for large sparse problems is not a practical alternative. We discuss two recent algorithms for numerically rank deficient problems based instead on the QR factorization..New backward stable