Error bounds and a condition number for the absolute value

Moslem Zamani, Milan Hladic

Research output: Contribution to journalArticleScientificpeer-review

Abstract

Absolute value equations, due to their relation to the linear complementarity problem, have been intensively studied recently. In this paper, we present error bounds for absolute value equations. Along with the error bounds, we introduce an appropriate condition number. We consider general scaled matrix p-norms, as well as particular p-norms. We discuss basic properties of the condition number, its computational complexity, its bounds and also exact values for special classes of matrices. We consider also matrices that appear based on the transformation from the linear complementarity problem.
Original languageEnglish
JournalMathematical Programming
Publication statusAccepted/In press - Dec 2021

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