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Plemmons, Robert J.

Monotonicity and iterative approximations involving rectangular matrices. (English) Zbl 0263.65046

Math. Comput. 26, 853-858 (1972).
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Cited in 13 Documents

MSC:

65F20 Numerical solutions to overdetermined systems, pseudoinverses
15A09 Theory of matrix inversion and generalized inverses
65F10 Iterative numerical methods for linear systems
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References:

[1] Abraham Berman and Robert J. Plemmons, Monotonicity and the generalized inverse, SIAM J. Appl. Math. 22 (1972), 155 – 161. · Zbl 0255.15005 · doi:10.1137/0122018
[2] James H. Bramble and Bert E. Hubbard, New monotone type approximations for elliptic problems, Math. Comp. 18 (1964), 349 – 367. · Zbl 0124.33006
[3] L. Collatz, Aufgaben monotoner Art, Arch. Math. 3 (1952), 366 – 376 (German). · Zbl 0048.09802 · doi:10.1007/BF01899376
[4] Lothar Collatz, Funktionalanalysis und numerische Mathematik, Die Grundlehren der mathematischen Wissenschaften, Band 120, Springer-Verlag, Berlin, 1964 (German). · Zbl 0139.09802
[5] V. N. Joshi, A note on the solution of rectangular linear systems by iteration, SIAM Rev. 12 (1970), 463 – 466. · Zbl 0203.47904 · doi:10.1137/1012087
[6] O. L. Mangasarian, Characterizations of real matrices of monotone kind, SIAM Rev. 10 (1968), 439 – 441. · Zbl 0179.05102 · doi:10.1137/1010095
[7] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc. 51 (1955), 406 – 413. · Zbl 0065.24603
[8] Harvey S. Price, Monotone and oscillation matrices applied to finite difference approximations, Math. Comp. 22 (1968), 489 – 516. · Zbl 0162.47204
[9] Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. · Zbl 0133.08602
[10] David M. Young, Iterative solution of large linear systems, Academic Press, New York-London, 1971. · Zbl 0231.65034
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