A GENERALIZED QUASI-MINIMAL BACKWARD ERROR (GQMBACK) ALGORITHM FOR NONSYMMETRIC LINEAR SYSTEMS

Wei Hongxia

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A GENERALIZED QUASI-MINIMAL BACKWARD ERROR (GQMBACK) ALGORITHM FOR NONSYMMETRIC LINEAR SYSTEMS

机译：非对称线性系统的广义拟最小向后误差（GQMBACK）算法。

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摘要

Orthogonal projection methods have been widely used to solve linear systems. Little attention has been given to oblique projection methods, but the class of oblique projection methods, is particularly attractive for large nonsymmetric systems.

机译：正交投影方法已广泛用于求解线性系统。斜投影方法很少受到关注，但是斜投影方法的类别对于大型非对称系统特别有吸引力。

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《TRANSACTIONS OF NANJING UNIVERSITY OF AERONAUTICS & ASTRONAUTICS》 |2000年第2期|p.188-193|共6页
作者
Wei Hongxia;
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正文语种 eng
中图分类航空、航天;航空;
关键词
nonsymmetric Lanczos; right and left Krylov subspace; normwise backward error;

机译：非对称Lanczos左右Krylov子空间;规范向后误差;

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专利

1. Total generalized minimum backward error algorithm for solving nonsymmetric linear systems [J] . Zhi-hao Cao Journal of Computational Mathematics . 1998,第6期

机译：求解非对称线性系统的总广义最小后向误差算法
2. A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems [J] . Dong-Lin Sun, Yan-Fei Jing, Ting-Zhu Huang, Computers & mathematics with applications . 2014,第10期

机译：非对称线性系统BiCORSTAB方法的准最小残差
3. THE QUASI-MINIMAL RESIDUAL ALGORITHM APPLIED TO COMPLEX SYMMETRIC LINEAR SYSTEMS IN QUANTUM REACTIVE SCATTERING [J] . Karlsson HO. The Journal of Chemical Physics . 1995,第12期

机译：量子反应散射中复杂对称线性系统的拟最小残差算法
4. A 1-norm quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric linear systems [C] . Bucker, H.M. . 2001

机译：非对称线性系统Bi-CGSTAB算法的1-范数准最小残差
5. Global optimization algorithm for nonlinear generalized disjunctive programming and applications to process systems engineering. [D] . Lee, Sangbum. 2002

机译：非线性广义析取规划的全局优化算法及其在过程系统工程中的应用。
6. New algorithms for solving third- and fifth-order two point boundary value problems based on nonsymmetric generalized Jacobi Petrov–Galerkin method [O] . E.H. Doha, W.M. Abd-Elhameed, Y.H. Youssri 2015

机译：基于非对称广义Jacobi Petrov-Galerkin方法求解三阶和五阶两点边值问题的新算法
7. A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems [O] . Sun, Dong-Lin, Jing, Yan-Fei, Huang, Ting-Zhu, 2014

机译：非对称线性系统BiCORSTAB方法的准最小残差

A GENERALIZED QUASI-MINIMAL BACKWARD ERROR (GQMBACK) ALGORITHM FOR NONSYMMETRIC LINEAR SYSTEMS

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