矩阵分析
Douban
Matrix Analysis
[美] Roger A.Horn, Charles R.Johnson
overview
有：特征值、特征向量和相似性、酉相似、Schur三角化及其推论、正规矩阵、标准形和包括Jordan标准形在内的各种分解、LU分解、QR分解和酉矩阵、Hermite矩阵和复对称矩阵、向量范数和矩阵范数、特征值的估计和扰动、正定矩阵、非负矩阵。
《矩阵分析.卷1(英文版)(本科)》可作为理工科专业研究生或数学专业高年级本科生教材，也可供数学工作者和科技人员参考。
contents
Chapter 0 Review and Miscellanea
0.0 Introduction
0.1 Vector spaces
0.2 Matrices
0.3 Determinants
0.4 Rank
0.5 Nonsingulartity
0.6 The usual inner product
0.7 Partitioned matrices
0.8 Determinants of matrices
0.9 Special types of matrices
0.10 Change of basis
Chapter 1 Eigenvalues，eigenvectors，and similarity
Chapter 2 Unitary equivalence and normal matrices
Chapter 3 Canonical forms
Chapter 4 Hermitian and symmetric matrices
Chapter 5 Norms for vectors and matrices
Chapter 6 Location and perturbation of eigenvalues
Chapter 7 Positive definite matrices
Chapter 8 Nonnegative matrices
Appendices
References
Notation
Index
