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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