Jan 14, 2011 · Abstract This paper deals with the normwise perturbation theory for linear (Hermitian) matrix equations. The definition of condition number ...

The paper deals with the derivation of improved perturbation bounds for the matrix expression and their application to the sensitivity analysis and the solution ...

This paper deals with the normwise perturbation theory for linear (Hermitian) matrix equations. The definition of condition number for the linear ...

Estimating errors for solutions of linear systems. • (Normwise) Backward error analysis. • Estimating condition numbers .. 5-1. Perturbation analysis for linear ...

The matrix condition number (2.8.1) is equal to the condition number of solving a linear system of equations. Although we derived this fact above only for ...

Second, byinvoking perturbation results a bound can be obtained on the forward error y- x in terms of the backward error and an appropriate condition number.

Second, byinvoking perturbation results a bound can be obtained on the forward error y- x in terms of the backward error and an appropriate condition number.

This chapter discusses perturbation theory, algorithms, and error analysis for solving the linear equation Ax = b. The algorithms are all variations on.

Feb 13, 2014 · A perturbation δb in b will lead to a perturbation δx in x, whose relative norm is bounded by the condition number of A κ(A) according to ||δx|| ...

Condition numbers and backward perturbation bound for linear matrix equations. Xingdong Yang Hua Dai Qingquan He. Published in: Numer. Linear Algebra Appl.