Error-free computation of a reflexive generalized inverse

DOI10.1016/0024-3795(85)90193-4zbMath0568.65025OpenAlexW2017987659MaRDI QIDQ1060536

W. J. Kennedy, Sallie Keller-McNulty

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90193-4

zbMATH Keywords

linear least squares problemserror free reflexive generalized inversesFORTRAN algorithmmultiple-modulus residue arithmeticrational entries

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Software, source code, etc. for problems pertaining to linear algebra (15-04)

Related Items (1)

An error-free generalized matrix inversion and linear least squares method based on bordering

Cites Work

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• Residue Arithmetic Algorithms for Exact Computation ofg-Inverses of Matrices
• Congruence Techniques for the Exact Solution of Integer Systems of Linear Equations
• An inequality for determinants with real entries
• An integer arithmetic method to compute generalized matrix inverse and solve linear equations exactly
• Solving equations exactly
• An algorithm for solving linear algebraic equations using residue arithmetic I
• An algorithm for solving linear algebraic equations using residue arithmetic II
• Solving linear equations using residue arithmetic — Algorithm II
• Computation of Pseudoinverse Matrices Using Residue Arithmetic

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