Book Review
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MathSciNet review:
1567357
Full text of review:
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Book Information:
Authors:
Abraham Berman and
Robert J. Plemmons
Title:
Nonnegative matrices in the mathematical sciences
Additional book information:
Academic Press, New York, 1979, xviii + 316 pp., $32.00.
1. G. Frobenius, Über Matrizen aus nicht negativen Elementen, S.-B. Preuss. Akad. Wiss. (Berlin) 1912, pp. 456-477.
2. F. R. Gantmacher, The theory of matrices, Vols. I and II, Chelsea, New York, 1959.
Marvin Marcus and Henryk Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Inc., Boston, Mass., 1964. MR 0162808
Martin Pearl, Matrix theory and finite mathematics, International Series in Pure and Applied Mathematics, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973. MR 0335530
Oskar Perron, Zur Theorie der Matrices, Math. Ann. 64 (1907), no. 2, 248–263 (German). MR 1511438, DOI 10.1007/BF01449896
E. Seneta, Non-negative matrices, Halsted Press [John Wiley & Sons], New York, 1973. An introduction to theory and applications. MR 0389944
Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0158502
Helmut Wielandt, Unzerlegbare, nicht negative Matrizen, Math. Z. 52 (1950), 642–648 (German). MR 35265, DOI 10.1007/BF02230720
Olga Taussky, Eigenvalues of finite matrices: Some topics concerning bounds for eigenvalues of finite matrices, Survey of numerical analysis, McGraw-Hill, New York, 1962, pp. 279–297. MR 0132071
- 1.
- G. Frobenius, Über Matrizen aus nicht negativen Elementen, S.-B. Preuss. Akad. Wiss. (Berlin) 1912, pp. 456-477.
- 2.
- F. R. Gantmacher, The theory of matrices, Vols. I and II, Chelsea, New York, 1959.
- 3.
- M. Marcus and H. Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Rockleigh, N. J., 1964. MR 0162808
- 4.
- M. Pearl, Matrix theory and finite mathematics, McGraw-Hill, New York, 1973. MR 335530
- 5.
- O. Perron, Zur theorie der matrizen, Math. Ann. 64 (1907), 248-263. MR 1511438
- 6.
- E. Seneta, Nonnegative matrices, Wiley, New York, 1973. MR 389944
- 7.
- R. S. Varga, Matrix iterative analysis, Prentice-Hall, Englewood Cliffs, N. J., 1962. MR 158502
- 8.
- H. Wielandt, Unzerlegbare, nicht negative matrizen, Math. Z. 52 (1950), 642-648. MR 35265
- 9.
- O. Taussky, Eigenvalues of finite matrices, Survey of Numerical Analysis, (J. Todd, editor), McGraw-Hill, New York, 1962. MR 132071
Review Information:
Reviewer:
Charles R. Johnson
Journal:
Bull. Amer. Math. Soc.
6 (1982), 233-235
DOI:
https://doi.org/10.1090/S0273-0979-1982-14993-X
