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LipschitzianQ-matrices areP-matrices
Authors:G S R Murthy  T Parthasarathy  Marco Sabatini
Institution:(1) Indian Statistical Institute, 110016 New Delhi, India;(2) Indian Statistical Institute, 110 Nelson Manickam Road, 600029 Madras, India;(3) Department of Mathematics, University of Trento, Trento, Italy
Abstract:In this note, we show that LipschitzianQ-matrices areP-matrices by obtaining a necessary condition on LipschitzianQ 0-matrices. The sufficiency of this condition has also been established by the first two authors along with another coauthor (Murthy, Parthasarathy and Sriparna, 1995). This work was done while I visited ISI, Delhi Center during March–April, 1994. I want to express my sincere thanks for their kind hospitality.
Keywords:Linear complementarity problem  Lipschitzian  Matrix classes
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