Nonnegative definite matrices and their applications to matrix quadratic programming problems |
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Authors: | Yonglin Chen |
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Affiliation: | Department of Mathematics , Nanjing Normal University , Nanjing, 210024, The People's Republic of China |
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Abstract: | In this paper, the concept that a matrix is nonnegative definite over a subspace and the tool of generalized inverse are used to express a general form of matrix quadratic programming. Several fundamental conclusions are obtained. An application to the common penalty method for handling constrained minimization problem is given. |
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