Book review of: Xingzhi Zhan, Matrix theory. (English) Zbl 1308.00036
Review of [Zbl 1275.15001].
MSC:
00A17 | External book reviews |
15-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra |
15A15 | Determinants, permanents, traces, other special matrix functions |
15A21 | Canonical forms, reductions, classification |
15A60 | Norms of matrices, numerical range, applications of functional analysis to matrix theory |
15A83 | Matrix completion problems |
15B35 | Sign pattern matrices |
05B20 | Combinatorial aspects of matrices (incidence, Hadamard, etc.) |
15A09 | Theory of matrix inversion and generalized inverses |
15A18 | Eigenvalues, singular values, and eigenvectors |
15A24 | Matrix equations and identities |
15A39 | Linear inequalities of matrices |
15A69 | Multilinear algebra, tensor calculus |
15B34 | Boolean and Hadamard matrices |
15B48 | Positive matrices and their generalizations; cones of matrices |
15B51 | Stochastic matrices |
15B57 | Hermitian, skew-Hermitian, and related matrices |
05C20 | Directed graphs (digraphs), tournaments |
05C50 | Graphs and linear algebra (matrices, eigenvalues, etc.) |
Citations:
Zbl 1275.15001References:
[1] | Adams, W.; Loustaunau, P., An Introduction to Gröbner Bases, Grad. Stud. Math., vol. 3 (1994), American Mathematical Society · Zbl 0803.13015 |
[2] | Bai, H., The Grone-Merris conjecture, Trans. Amer. Math. Soc., 363, 4463-4474 (2011) · Zbl 1258.05066 |
[3] | Berg, M., MAA Review on Zhan’s Matrix Theory book, Mathematical Association of America, 2013 |
[4] | Djoković, D.; Ikramov, K., A square matrix is congruent to its transpose, J. Algebra, 257, 1, 97-105 (2002) · Zbl 1016.15028 |
[5] | Farenick, D., Review on Zhan’s Matrix Theory book, International Linear Algebra Society (ILAS) Bulletin IMAGE, 53, 35 (Fall 2014) |
[6] | FitzGerald, C.; Horn, R., On fractional Hadamard powers of positive definite matrices, J. Math. Anal. Appl., 61, 633-642 (1977) · Zbl 0406.15006 |
[8] | Horn, R.; Johnson, C., Matrix Analysis (2013), Cambridge University Press: Cambridge University Press New York · Zbl 1267.15001 |
[9] | Horn, R.; Sergeichuk, V., Congruences of a square matrix and its transpose, Linear Algebra Appl., 389, 347-353 (2004) · Zbl 1068.15007 |
[11] | Marcus, M.; Khan, N., A note on the Hadamard product, Canad. Math. Bull., 2, 81-83 (1959) · Zbl 0092.01602 |
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