Error-free computation of the moore-penrose inverse with application to linear least squares analysis

DOI10.1080/00949658708810979zbMath0619.65029OpenAlexW2012084210MaRDI QIDQ3756406

Sallie Keller-McNulty, W. J. Kennedy

Publication date: 1987

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949658708810979

zbMATH Keywords

rankMoore-Penrose inverseerror-free computationmultiple modulus residue arithmeticexact inverseerror-free linear least squares

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Interval and finite arithmetic (65G30)

Cites Work

• The Acceptability of Regression Solutions: Another Look at Computational Accuracy
• An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion
• An algorithm for solving linear algebraic equations using residue arithmetic I
• Computation of Pseudoinverse Matrices Using Residue Arithmetic
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