COPOSITIVITY OF SOME CLASSES OF MATRICES
A copositive matrix is a real symmetric matrix whose variation by any nonnegative vector is nonnegative. Thus, we can see that copositive matrices are generalization of nonnegative definite matrices. Unlike nonnegative definite matrices, we cannot identify copositive matrices using their eigenvalues...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/29529 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | A copositive matrix is a real symmetric matrix whose variation by any nonnegative vector is nonnegative. Thus, we can see that copositive matrices are generalization of nonnegative definite matrices. Unlike nonnegative definite matrices, we cannot identify copositive matrices using their eigenvalues. A copositive matrix may have negative eigenvalues. This thesis will discuss the copositivity of some classes of matrices. They are circulant matrix, Hadamard matrix, modified symmetric Pascal matrix, anti-bidiagonal matrix, anti-tridiagonal matrix, and anti-circulant matrix. |
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