商品详情
书名：块-特普利兹迭代方法(英文版)
定价：108.0
ISBN：9787030107190
作者：金小庆
版次：1
出版时间：2016-03
内容提要：
目录：
Preface Chapter 1 Introduciton 1.1 Background 1.2 Circulant preconditioners 1.3 Non-circulant preconditioners Chapter 2 Block Circulant Preconditioners 2.1 Operators for block matrices 2.2 Operation cost for preconditioned system 2.3 Convergence rate 2.4 Invertibility of r(2)F,F(Tmm)and s(2)F,F(Tmm) 2.5 Numerical results Chapter 3 BCCB Preconditioners from Kernels 3.1 Introduction 3.2 Preconditioners from kernels 3.3 Clustering properties Chapter 4 Fast Algorithm for Tensor Structure 4.1 Construction of preconditioner 4.2 Fast algorithm 4.3 Inverse heat problem 4.4 Numerical results Chapter 5 Block Toeplitz LS Problems 5.1 Introduction 5.2 Construction of preconditioner 5.3 Spectrum of preconditioned matrix 5.4 Convergence rate and operation cost Chapter 6 Block {ω}-Circulant Preconditioners 6.1 Spectral analysis 6.2 Construction of preconditioner 6.3 Clustering of eigenvalues 6.4 Numerical results Chapter 7 Non-Circulant Block Preconditioners 7.1 Block band Toeplitz preconditioners 7.2 Preconditioners based on fast transforms Chapter 8 Multigrid Block Toeplitz Solvers 8.1 Introduction 8.2 Convergence rate of TGM 8.3 Convergence result for full MGM 8.4 Numerical results Chapter9 Applications in Second-Order PDEs 9.1 Applications to elliptic problems 9.2 Applications to hyperbolic problems 9.3 Extension to parabolic equations 9.4 Numerical results 9.5 3-dimensional problems Chapter 10 Applications in First-Order PDEs 10.1 Discretized system and GMRES method 10.2 Construction of preconditioner 10.3 Convergence rate 10.4 Spectral analysis 10.5 Asymptotic properties 10.6 Convergence results and numerical tests Chapter 11 Applications in ODEs and DAEs 11.1 BVMs and their matrix forms 11.2 Construction of preconditioner 11.3 Convergence rate and operation cost 11.4 Algorithm for DAEs 11.5 Numerical results Chapter 12 Applications in Image Processing 12.1 Introduction 12.2 Regularized PCGLS method 12.3 Numerical results Bibliography Index
定价：108.0
ISBN：9787030107190
作者：金小庆
版次：1
出版时间：2016-03
内容提要：
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| 块-特普利兹迭代方法(英文版) | ||
 |
定价 | 108.00 |
| 出版社 | 科学出版社有限责任公司 (2016年3月7日) | |
| 版次 | 1 | |
| 出版时间 | 2016年03月 | |
| 开本 | 5 | |
| 作者 | 金小庆 | |
| 装帧 | 平装 | |
| 页数 | 236 | |
| 字数 | 220 | |
| ISBN编码 | 9787030107195 | |
内容介绍
本书介绍区组Toeplity方程迭代解法的理论和应用。
暂时没有目录目录：
Preface Chapter 1 Introduciton 1.1 Background 1.2 Circulant preconditioners 1.3 Non-circulant preconditioners Chapter 2 Block Circulant Preconditioners 2.1 Operators for block matrices 2.2 Operation cost for preconditioned system 2.3 Convergence rate 2.4 Invertibility of r(2)F,F(Tmm)and s(2)F,F(Tmm) 2.5 Numerical results Chapter 3 BCCB Preconditioners from Kernels 3.1 Introduction 3.2 Preconditioners from kernels 3.3 Clustering properties Chapter 4 Fast Algorithm for Tensor Structure 4.1 Construction of preconditioner 4.2 Fast algorithm 4.3 Inverse heat problem 4.4 Numerical results Chapter 5 Block Toeplitz LS Problems 5.1 Introduction 5.2 Construction of preconditioner 5.3 Spectrum of preconditioned matrix 5.4 Convergence rate and operation cost Chapter 6 Block {ω}-Circulant Preconditioners 6.1 Spectral analysis 6.2 Construction of preconditioner 6.3 Clustering of eigenvalues 6.4 Numerical results Chapter 7 Non-Circulant Block Preconditioners 7.1 Block band Toeplitz preconditioners 7.2 Preconditioners based on fast transforms Chapter 8 Multigrid Block Toeplitz Solvers 8.1 Introduction 8.2 Convergence rate of TGM 8.3 Convergence result for full MGM 8.4 Numerical results Chapter9 Applications in Second-Order PDEs 9.1 Applications to elliptic problems 9.2 Applications to hyperbolic problems 9.3 Extension to parabolic equations 9.4 Numerical results 9.5 3-dimensional problems Chapter 10 Applications in First-Order PDEs 10.1 Discretized system and GMRES method 10.2 Construction of preconditioner 10.3 Convergence rate 10.4 Spectral analysis 10.5 Asymptotic properties 10.6 Convergence results and numerical tests Chapter 11 Applications in ODEs and DAEs 11.1 BVMs and their matrix forms 11.2 Construction of preconditioner 11.3 Convergence rate and operation cost 11.4 Algorithm for DAEs 11.5 Numerical results Chapter 12 Applications in Image Processing 12.1 Introduction 12.2 Regularized PCGLS method 12.3 Numerical results Bibliography Index
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