COMPARING SBE WITH P-SBE FOR CERTAIN STRUCTURED LINEAR SYSTEMS
一些结构线性系统的SBE与P-SBE的比较

Many important structured matrices belong to the Jordan algebra J or the Lie algebra L, defined by scalar product in R~n or C~n.In this paper,the comparison of normwise structured backward errors (SBE) with partial structured backward errors (P-SBE) with respect to the approximate solution of linear system AX=B are considered.Here the coefficient matrix A satisfies A∈J or A∈L.After giving some preliminary results,we first compare SBE with P-SBE in case of single right-hand side,then multiple right-hand sides.Some results proved by Sun are generalized.