Positive-Definite Tensors to Nonlinear Complementarity Problems
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DOI: 10.1007/s10957-015-0773-1
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- M. Seetharama Gowda & Jong-Shi Pang, 1992. "On Solution Stability of the Linear Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 77-83, February.
- Yisheng Song & Liqun Qi, 2015. "Properties of Some Classes of Structured Tensors," Journal of Optimization Theory and Applications, Springer, vol. 165(3), pages 854-873, June.
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Keywords
Copositive tensor; Symmetric tensor; Positive-definite tensor; Diagonalizable tensors; Nonlinear complementarity problems;All these keywords.
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