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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id-itb.:295292018-06-26T10:51:36ZCOPOSITIVITY OF SOME CLASSES OF MATRICES DE MENZELTHE (NIM: 20117006), NANCY Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/29529 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. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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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. |
| format |
Theses |
| author |
DE MENZELTHE (NIM: 20117006), NANCY |
| spellingShingle |
DE MENZELTHE (NIM: 20117006), NANCY COPOSITIVITY OF SOME CLASSES OF MATRICES |
| author_facet |
DE MENZELTHE (NIM: 20117006), NANCY |
| author_sort |
DE MENZELTHE (NIM: 20117006), NANCY |
| title |
COPOSITIVITY OF SOME CLASSES OF MATRICES |
| title_short |
COPOSITIVITY OF SOME CLASSES OF MATRICES |
| title_full |
COPOSITIVITY OF SOME CLASSES OF MATRICES |
| title_fullStr |
COPOSITIVITY OF SOME CLASSES OF MATRICES |
| title_full_unstemmed |
COPOSITIVITY OF SOME CLASSES OF MATRICES |
| title_sort |
copositivity of some classes of matrices |
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https://digilib.itb.ac.id/gdl/view/29529 |
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1822022104780898304 |