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Theorems on products of \(EP_{r}\) matrices. (English) Zbl 0179.05104


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[1] Cline, R., Note on the generalized inverse of the product of matrices, SIAM Rev., 6, 57-58 (1966) · Zbl 0121.26105
[2] Erdelyi, I., On the “reverse order law” related to the generalized inverse of matrix products, J. ACM, 13, 439-443 (1966) · Zbl 0166.03103
[3] Erdelyi, I., On partial isometries in finite-dimensional euclidean spaces, J. SIAM Appl. Math., 14, 453-467 (1966) · Zbl 0285.15005
[4] Erdelyi, I., On normal partial isometries in finite-dimensional euclidean spaces, Kansas State Univ. Dept. Statistics Tech. Rept., 6 (1967)
[5] Greville, T. N.E., Note on the generalized inverse of a matrix product, U.S. Army, Math. Res. Center Tech. Sum. Rept., 623 (1966) · Zbl 0143.26303
[6] Hamburger, H. L.; Grimshaw, M. E., Linear Transformations in n-Dimensional Vector Space (1956), Cambridge Univ. Press: Cambridge Univ. Press London and New York · Zbl 0043.32504
[7] Katz, I. J., Weigmann type theorems for EPr matrices, Duke Math. J., 32, 423-428 (1965) · Zbl 0168.03102
[8] Katz, I. J., Abstract, Notices Amer. Math. Soc., 66T-69 (January, 1966)
[9] Katz, I. J.; Pearl, M. H., On EPr and normal EPr matrices, J. Res. Nat. Bur. Standards, 70B, 47-77 (1966) · Zbl 0138.01401
[10] Pearl, M. H., On normal and EPr matrices, Michigan Math. J., 6, 1-5 (1959) · Zbl 0084.01702
[11] Penrose, R., A generalized inverse for matrices, Proc. Cambridge Phil. Soc., 51, 406-413 (1955) · Zbl 0065.24603
[12] Penrose, R., On best approximate solutions of linear matrix equations, Proc. Cambridge Phil. Soc., 52, 17-19 (1956) · Zbl 0070.12501
[13] Schwerdtfeger, H., Introduction to Linear Algebra and the Theory of Matrices (1962), P. Noordhoff: P. Noordhoff Groningen · Zbl 0103.25005
[14] Shilov, G., Introduction to the Theory of Linear Spaces (1961), Prentice-Hall: Prentice-Hall Englewood Cliffs, New Jersey
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