Error bounds for linear complementarity problems of strong $ SDD_{1} $ matrices and strong $ SDD_{1} $-$ B $ matrices

Abstract

In this paper, an error bound for linear complementarity problems of strong $ SDD $$ _{1} $ matrices is given. By properties of $ SDD $$ _{1} $ matrices, a new subclass of $ P $-matrices called $ SDD_{1} $-$ B $ is presented, which contains $ B $-matrices. A new error bound of linear complementarity problems for $ SDD_{1} $-$ B $ is also provided, which improves the corresponding results. Numerical examples are given to illustrate the effectiveness of the obtained results.

Keywords

• linear complementarity problems
• error bound
• strong $ sdd $$ _ {1} $ matrices
• strong $ sdd $$ _ {1} $-$ b $ matrices
• $ p $-matrices