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A direct method for the general solution of a system of linear equations. (English) Zbl 0291.90038

MSC:
90C05 Linear programming
15A06 Linear equations (linear algebraic aspects)
65K05 Numerical mathematical programming methods
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[1] Penrose, R.,A Generalized Inverse for Matrices, Proceedings of the Cambridge Philosophical Society, Vol. 51, pp. 406-413, 1955. · Zbl 0065.24603 · doi:10.1017/S0305004100030401
[2] Ben-Israel, A., andCharnes, A.,Contributions to the Theory of Generalized Inverses, SIAM Journal on Applied Mathematics, Vol. 11, No. 3, 1963.
[3] Householder, A. S.,Unitary Triangularization of a Nonsymmetric Matrix, Journal of the Association for Computing Machinery, Vol. 5, No. 4, 1958. · Zbl 0121.33802
[4] Ben-Israel, A., andWersan, S. J.,An Elimination Method for Computing the Generalized Inverse of an Arbitrary Complex Matrix, Journal of the Association for Computing Machinery, Vol. 10, No. 4, 1963. · Zbl 0118.12104
[5] Golub, G.,Numerical Methods for Solving Linear Least Squares Problems, Numerische Mathematik, Vol. 7, No. 2, 1965. · Zbl 0142.11502
[6] Noble, B.,A Method for Computing the Generalized Inverse of a Matrix, SIAM Journal on Numerical Analysis, Vol. 3, No. 4, 1966. · Zbl 0147.13105
[7] Rust, B., Burrus, W. R., andSchneerberger, C.,A Simple Algorithm for Computing the Generalized Inverse of a Matrix, Communications of the ACM, Vol. 9, No. 5, 1966. · Zbl 0135.37401
[8] Tewarson, R. P.,A Computational Method for Evaluating Generalized Inverses, Computer Journal, Vol. 10, No. 4, 1968. · Zbl 0167.15602
[9] Peters, G., andWilkinson, J. H.,The Least Squares Problem and Pseudo-Inverses, Computer Journal, Vol. 13, No. 3, 1970.
[10] Gregory, R. T., andKarney, D. L.,A Collection of Matrices for Testing Computational Algorithms, John Wiley and Sons (Interscience Publishers), New York, New York, 1969.
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