This paper mainly studies the backward perturbation methods in solving the linear systems , and total minimal backward perturbation ( tminback ) method for symmetric linear systems is presented 本文研究了求解线性方程组的向后扰动方法。对求解对称线性方程组的lanczos方法做出了向后扰动分析,给出了求解对称线性方程组的总体极小向后扰动( tminback )方法。
The deflated restarted total minimization backward perturbation method ( drtminback ) is presented . when solving the nonsymmetric linear systems , the paper makes the total backward perturbation analysis to qmr method , and uses the total quasi - minimal backward perturbation ( tqmback ) technique . so the restarted total quasi - minimal backward perturbation ( rtqmback ) method is given 同样地,对求解非对称线性方程组的qmr方法作出了向后扰动分析,结合总体向后扰动范数拟极小化的技巧,给出了求解非对称线性方程组的总体拟极小向后扰动( tqmback )方法。
对称: symmetry; symmetrical线性方程: linear equation非线性方程: non linear equation; nonlinear equation拟线性方程: quasi linear equation; quasilinear equation线性方程解: linear equation solution线性方程式: linear equation线性方程组: a system of simultaneous linear equations; lineares gleichungssystem linear system of equations; system of linear equations; set of linear equation; solving linear equations; system of linear equations准线性方程: quasi linear equation; quasilinear equation对称线性规划: symmetric linear programming对称线性规则: symmetric linear programming对称线性算子: symmetric linear operator对称线性天线: symmetrical linear antenna二元线性方程: linear equation in two unknowns非线性方程式: nonlinear equation非线性方程组: set of nonlinear equation; system of non linear equations; system of nonlinear equations联立线性方程: simultaneous linear equations拟线性方程组: quasilinear system of equations齐次线性方程: homogeneous linear equation无关线性方程: independent linear equation相关线性方程: dependent linear equation严格线性方程: strictly linear equation一般线性方程: general linear equation线性方程;一次方程: linear equation超定的线性方程组: overdetermined linear equations超定线性方程组: overdetermined linear equation