ABS algorithms for linear equations and ABSPACK (Q2718112)
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scientific article; zbMATH DE number 1606319
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | ABS algorithms for linear equations and ABSPACK |
scientific article; zbMATH DE number 1606319 |
Statements
19 June 2001
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scaling
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Abaffy-Broyden-Spadicato algorithms
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linear least squares
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nonlinear equations
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optimization
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ABS methods
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Diophantine equations
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ABSPACK package
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comparison
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LAPACK
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LINPACK
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ABS algorithms for linear equations and ABSPACK (English)
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The basic properties of the scaled Abaffy-Broden-Spadicato (ABS) algorithms intended to solve linear equations and applied to linear least squares, nonlinear equations and optimization problems are discussed. The derivation of ABS methods for linear Diophantine equations is presented and several ABS algorithms for solving different type of equations are described in details. The ABSPACK package for solving linear and nonlinear systems of equations and optimization problems using the ABS algorithms is described and a comparison is given with some LAPACK and LINPACK codes.
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