scientific article

zbMath0985.65022arXivmath/0105074MaRDI QIDQ2718112

Elena Bodon, Emilio Spedicato, Zun-Quan Xia, Antonino Del Popolo

Publication date: 19 June 2001

Full work available at URL: https://arxiv.org/abs/math/0105074

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

optimizationcomparisonscalingnonlinear equationsABS methodsDiophantine equationslinear least squaresLAPACKLINPACKAbaffy-Broyden-Spadicato algorithmsABSPACK package

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Linear Diophantine equations (11D04) Packaged methods for numerical algorithms (65Y15)

Related Items (9)

Real and Integer Extended Rank Reduction Formulas and Matrix Decompositions: A Review ⋮ Extended reduced rank two Abaffian update schemes in the ABS-type methods ⋮ ABS methods for continuous and integer linear equations and optimization ⋮ Diophantine quadratic equation and Smith normal form using scaled extended integer Abaffy-Broyden-Spedicato algorithms ⋮ Extended rank reduction formulas containing Wedderburn and Abaffy-Broyden-Spedicato rank reducing processes ⋮ A generalization of the ABS algorithms and its application to some special real and integer matrix factorizations ⋮ ABS algorithms for Diophantine linear equations and integer LP problems ⋮ ABSPACK ⋮ Rank reduction processes for solving linear Diophantine systems and integer factorizations: a review

Uses Software

• LAPACK
• LINPACK

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