線性矩陣的解及其應用宋彩芹 9787030758156 【台灣高等教育出版社】

Name: 線性矩陣的解及其應用 宋彩芹 9787030758156 【台灣高等教育出版社】
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原出版社：科學

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書名：線性矩陣的解及其應用
ISBN：9787030758156
出版社：科學
著編譯者：宋彩芹
頁數：200
所在地：中國大陸 *此為代購商品
書號：1563551
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內容簡介

在這本書中，主要研究了一些線性矩陣方程的有限迭代演算法、MCGLS迭代演算法及解析演算法。本書提出線性矩陣方程的兩類演算法（有限迭代演算法和MCGLS迭代演算法）並推廣到耦合運算元矩陣方程上，同時把線性矩陣方程的一般迭代解推廣到約束解，這兩類演算法的各章節之間密切相關並層層遞進。最後，本書給出了幾類線性矩陣方程的解析演算法，推廣了國外專家的已有結論。

About the Author
「博士後文庫」序言
Preface
Notations
CHAPTER 1 Introduction
1 1 The First Part: Finite Iterative Algorithm to Linear Matrix Equation
1 2 The Second Part: MCGLS Iterative Algorithm to Linear Matrix Equation
1 3 The Third Part: Explicit Solutions to Linear Matrix Equation
CHAPTER 2 Finite Iterative Algorithm to Coupled Transpose Matrix Equations
2 1 Finite Iterative Algorithm and Convergence Analysis
2 2 Numerical Example
2 3 Control Application
2 4 Conclusions
CHAPTER 3 Finite Iterative Algorithm to Coupled Operator Matrix Equations with Sub-Matrix Constrained
3 3 Numerical Example
3 4 Control Application
3 5 Conclusions
CHAPTER 4 MCGLS Iterative Algorithm to Linear Conjugate Matrix Equation
4 1 MCGLS Iterative Algorithm and Convergence Analysis
4 2 Numerical Example
4 3 Control Application
4 4 Conclusions
CHAPTER 5 MCGLS Iterative Algorithm to Linear Conjugate Transpose Matrix Equation
5 1 MCGLS Iterative Algorithm and Convergence Analysis
5 2 Numerical Example
5 3 Conclusions
CHAPTER 6 MCGLS Iterative Algorithm to Coupled Linear Operator Systems
6 1 Some Useful Lemmas
6 2 MCGLS Iterative Algorithm and Convergence Analysis
6 3 Numerical Examples
6 4 Conclusions
CHAPTER 7 Explicit Solutions to the Matrix Equation X-AXB-CY+R
7 1 Solutions to the Real Matrix Equation X-AXB-CY+R
7 2 Parametric Pole Assignment for Descriptor Linear Systems by P-D Feedback
7 3 Conclusions
CHAPTER 8 Explicit Solutions to the Nonhomogeneous Yakubovich-Transpose Matrix Equation
8 1 The First Approach
8 2 The Second Approach
8 3 Illustrative Example
8 4 Conclusions
CHAPTER 9 Explicit Solutions to the Matrix Equations XB -AX=CY and XB-AX= CY
9 1 Real Matrix Equation XB -AX-CY
9 2 Quaternion-j-Conjugate Matrix Equation XB -AX= CY
9 2 1 Real Representation of a Quaternion Matrix
9 2 2 Solutions to the Quaternion j-Conjugate Matrix Equation XB-AX-CY
9 3 Conclusions
CHAPTER 10 Explicit Solutions to Linear Transpose Matrix Equation
10 1 Solutions to the Sylvester Transpose Matrix Equation
10 1 1 The First Case：A or B is Nonsingular
10 1 2 The Second Case：A and B are Nonsingular
10 2 Solutions to the Generalized Sylvester Transpose Matrix Equation
10 3 Algorithms for Solving Two Transpose Equations and Numerical Example
10 4 Application in Control Theory
10 5 Conclusions
References
編後記

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