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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제1호
- 발행연도
- 2015.1
- 수록면
- 229 - 234 (6page)
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초록· 키워드
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In the setting of semidefinite linear complementarity problems on $S^n$, we focus on the Stein Transformation $S_A(X):=X-AXA^T$ for $A{\in}R^{n{\times}n}$ that is positive semidefinite preserving (i.e., $S_A(S^n_+){\subseteq}S^n_+$) and show that such transformation is strictly monotone if and only if it is nondegenerate. We also show that a positive semidefinite preserving $S_A$ has the Ultra-GUS property if and only if $1{\not\in}{\sigma}(A){\sigma}(A)$.
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참고문헌 (14)
참고문헌 신청
R. Balaji / 2014 / Some second order cone complementarity results, Research Report
A. Chandrashekaran. / 2010 / On the P2' and P2-properties in the semide nite linear complementarity problem / Linear Alg. and Its Appl 432:134~143
M. S. Gowda. / 2000 / Complementarity forms of Theorems of Lyapunov and Stein, and related results / Linear Algebra Appl 320:131~144
M. S. Gowda. / 2000 / On semide nite linear complementarity problems / Math., Pro-gram. Series A 88:575~587
M. S. Gowda. / 2001 / Errata : On semide nite linear complementarity problems / Math. Prog. Series A 91:199~200
A. Chandrashekaran. / 2010 / On the P2' and P2-properties in the semide nite linear complementarity problem / Linear Alg. and Its Appl 432:134~143
M. S. Gowda. / 2000 / Complementarity forms of Theorems of Lyapunov and Stein, and related results / Linear Algebra Appl 320:131~144
M. S. Gowda. / 2000 / On semide nite linear complementarity problems / Math., Pro-gram. Series A 88:575~587
M. S. Gowda. / 2001 / Errata : On semide nite linear complementarity problems / Math. Prog. Series A 91:199~200
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