On the \(P_2'\) and \(P_2\)-properties in the semidefinite linear complementarity problem (Q1044591)
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scientific article; zbMATH DE number 5650025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(P_2'\) and \(P_2\)-properties in the semidefinite linear complementarity problem |
scientific article; zbMATH DE number 5650025 |
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On the \(P_2'\) and \(P_2\)-properties in the semidefinite linear complementarity problem (English)
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18 December 2009
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The authors consider several classes of linear transformations for semidefinite linear complementarity problems (SDLCPs) and investigate the equivalence of some matrix properties within the SDLCP setting. Namely, they introduce a new \(P'_2\)-property and show its equivalence to \(P_2\) for Lyapunov, multiplicative, and some classes of Stein transformations. Some relationships for \(P'_2\)-, \(Q\)-, and \(P\)-properties and examples which confirm the sharpness of the results are also given.
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linear transformations
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equivalence
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