Book Review
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MathSciNet review:
1567985
Full text of review:
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Book Information:
Author:
Roger A. Horn and Charles R. Johnson
Title:
Topics in matrix analysis
Additional book information:
Cambridge Univ. Press, 1991, viii$+$607 pp. US$59.50. ISBN 0-521-30587-X.
[1] A. C. Aitken, Determinants and matrices, 9th edition, Oliver and Boyd, Edinburgh, 1956.
[2] Ali R. Amir-Moéz, Extreme properties of linear transformations, Polygonal, Washington, NJ, 1990.
Richard Bellman, Introduction to matrix analysis, 2nd ed., McGraw-Hill Book Co., New York-Düsseldorf-London, 1970 (Russian). MR 0258847
[4] Nicholas Bourbaki, Elements of mathematics, Algebra I, chapters 1-3, Addison-Wesley, Reading, MA, 1974.
Richard A. Brualdi and Herbert J. Ryser, Combinatorial matrix theory, Encyclopedia of Mathematics and its Applications, vol. 39, Cambridge University Press, Cambridge, 1991. MR 1130611, DOI 10.1017/CBO9781107325708
Morton L. Curtis, Abstract linear algebra, Universitext, Springer-Verlag, New York, 1990. With revisions by Paul Place; With a preface by John Hempel. MR 1059056, DOI 10.1007/978-1-4419-8764-8
Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368
Roger A. Horn, The Hadamard product, Matrix theory and applications (Phoenix, AZ, 1989) Proc. Sympos. Appl. Math., vol. 40, Amer. Math. Soc., Providence, RI, 1990, pp. 87–169. MR 1059485, DOI 10.1090/psapm/040/1059485
Roger A. Horn and Charles R. Johnson, Matrix analysis, Cambridge University Press, Cambridge, 1985. MR 832183, DOI 10.1017/CBO9780511810817
Morris Kline, Mathematical thought from ancient to modern times, Oxford University Press, New York, 1972. MR 0472307
Marvin Marcus and Henryk Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Inc., Boston, Mass., 1964. MR 0162808
[12] Issai Schur, Bemerkungen zur Theorie der beshränkten Bilinearformen mit unendlich vielen Veränderlichen, J. Reine Angew. Math. 140 (1911), 1-28.
- [1]
- A. C. Aitken, Determinants and matrices, 9th edition, Oliver and Boyd, Edinburgh, 1956.
- [2]
- Ali R. Amir-Moéz, Extreme properties of linear transformations, Polygonal, Washington, NJ, 1990.
- [3]
- Richard Bellman, Introduction to matrix analysis, (1st and 2nd editions), McGraw-Hill, New York, 1960 and 1970. MR 0258847 (41:3493)
- [4]
- Nicholas Bourbaki, Elements of mathematics, Algebra I, chapters 1-3, Addison-Wesley, Reading, MA, 1974.
- [5]
- Richard A. Brualdi and Herbert J. Ryser, Combinatorial matrix theory, Encyclopedia Math. Appl., Cambridge Univ. Press, New York, 1991. MR 1130611 (93a:05087)
- [6]
- Morton L. Curtis, Abstract linear algebra, Springer-Verlag, New York, 1990. MR 1059056 (91j:15003)
- [7]
- Paul R. Halmos, A Hilbert space problem book, American Book, van Nostrand, Reinhold, NY, 1967. MR 0208368 (34:8178)
- [8]
- Roger A. Horn, The Hadamard product, Proc. Sympos. Appl. Math. (Charles R. Johnson, ed.), vol. 40, Amer. Math. Soc., Providence, RI, 1990. MR 1059485
- [9]
- Roger A. Horn and Charles R. Johnson, Matrix analysis, Cambridge Univ. Press, New York, 1985. MR 832183 (87e:15001)
- [10]
- Morris Kline, Mathematical thought from ancient to modern times, Oxford Univ. Press, New York, 1972. MR 0472307 (57:12010)
- [11]
- Marvin Marcus and Henryk Mine, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Boston, MA, 1964. MR 0162808 (29:112)
- [12]
- Issai Schur, Bemerkungen zur Theorie der beshränkten Bilinearformen mit unendlich vielen Veränderlichen, J. Reine Angew. Math. 140 (1911), 1-28.
Review Information:
Reviewer:
Marvin Marcus
Journal:
Bull. Amer. Math. Soc.
27 (1992), 191-198
DOI:
https://doi.org/10.1090/S0273-0979-1992-00296-3