作者：（美）史蒂文·H.温特劳布
页数：153
出版社：哈尔滨工业大学出版社
出版日期：2021
ISBN：9787560394060
电子书格式：pdf/epub/txt
内容简介
本书是一部引进版权的英文版代数学教程,若尔当典范形(JCF)是线性代数中很重要、很有用的概念之一.本书内容包括线性变换或矩阵的若尔当典范形,编码有关该线性变换或矩阵的所有结构信息.本书是对若尔当典范形的精心开发。
目录
Preface
1 Fundamentals on Vector Spaces and Linear Transformations
1.1 Bases and Coordinates
1.2 Linear Transformations and Matrices
1.3 Some Special Matrices
1.4 Polynomials in T and A
1.5 Subspaces, Complements, and Invariant Subspaces
2 The Structure of a Linear Transformation
2.1 Eigenvalues, Eigenvectors, and Generalized Eigenvectors
2.2 The Minimum Polynomial
2.3 Reduction to BDBUTCD Form
2.4 The Diagonalizable Case
2.5 Reduction to Jordan Canonical Form
2.6 Exercises
3 An Algorithm for Jordan Canonical Form and Jordan Basis
3.1 The ESP of a Linear Transformation
3.2 The Algorithm for Jordan Canonical Form
3.3 The Algorithm for a Jordan Basis
3.4 Examples
3.5 Exercises
A Answers to odd–numbered exercises
A.1 Answers to Exercises-Chapter 2
A.2 Answers to Exercises-Chapter 3
Notation
Index
编辑手记
1 Fundamentals on Vector Spaces and Linear Transformations
1.1 Bases and Coordinates
1.2 Linear Transformations and Matrices
1.3 Some Special Matrices
1.4 Polynomials in T and A
1.5 Subspaces, Complements, and Invariant Subspaces
2 The Structure of a Linear Transformation
2.1 Eigenvalues, Eigenvectors, and Generalized Eigenvectors
2.2 The Minimum Polynomial
2.3 Reduction to BDBUTCD Form
2.4 The Diagonalizable Case
2.5 Reduction to Jordan Canonical Form
2.6 Exercises
3 An Algorithm for Jordan Canonical Form and Jordan Basis
3.1 The ESP of a Linear Transformation
3.2 The Algorithm for Jordan Canonical Form
3.3 The Algorithm for a Jordan Basis
3.4 Examples
3.5 Exercises
A Answers to odd–numbered exercises
A.1 Answers to Exercises-Chapter 2
A.2 Answers to Exercises-Chapter 3
Notation
Index
编辑手记
