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

DOI10.1080/03610918608812539zbMath0596.62071OpenAlexW2061665250MaRDI QIDQ3729853

W. J. Kennedy, Sallie Keller-McNulty

Publication date: 1986

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918608812539

zbMATH Keywords

arithmeticlinear least squaresbordering methoderror-free generalized matrix inversionfinite fields of characteristic pmultiple modulus residue

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Linear inference, regression (62J99) Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

• Error-free computation of a reflexive generalized inverse
• Residue Arithmetic Algorithms for Exact Computation ofg-Inverses of Matrices
• Congruence Techniques for the Exact Solution of Integer Systems of Linear Equations
• An integer arithmetic method to compute generalized matrix inverse and solve linear equations exactly
• An algorithm for solving linear algebraic equations using residue arithmetic I
• Computation of Pseudoinverse Matrices Using Residue Arithmetic
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