Numerical Linear Algebra Algorithms and Software
نویسندگان
چکیده
منابع مشابه
Numerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method
In this paper, we present some efficient numerical algorithm for solving system of fuzzy polynomial equations based on Newton's method. The modified Adomian decomposition method is applied to construct the numerical algorithms. Some numerical illustrations are given to show the efficiency of algorithms.
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Efficient and robust parallel and distributed algorithms with portable and easy-to-use implementations for the solution of fundamental problems in numerical mathematics are essential components of most parallel software systems for scientific and engineering applications. This topic provides a forum for the presentation and discussion of new developments in the area of parallel and distributed ...
متن کاملLinear Algebra on High Performance Computers
This is a survey of some work recently done at Argonne National Laboratory in an attempt to discover ways to construct numerical software for high performance computers. The numerical algorithms discussed are taken from several areas of numerical linear algebra. We discuss certain architectural features of advanced computer architectures that will affect the design of algorithms. The technique ...
متن کاملNumerical linear algebra software
at the current iterate x ∈ Rn. In practice, we find that the bulk of computational resources (memory, time) consumed by these algorithms is spent constructing and solving these linear systems, and not in the higher-level algorithmic details. That is not to say that the higher-level details do not impact performance; for example, algorithmic improvements could result in a reduction in the number...
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Classes of Abaffy-Broyden-Spedicato (ABS) methods have been introduced for solving linear systems of equations. The algorithms are powerful methods for developing matrix factorizations and many fundamental numerical linear algebra processes. Here, we show how to apply the ABS algorithms to devise algorithms to compute the WZ and ZW factorizations of a nonsingular matrix as well as...
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