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 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
