Matrices with the property that the real part is positive definite, have been studied for the past five decades or more. Many results in the form of inequalities have been obtained for matrices possessing this property. In this article, a new class of matrices, viz., matrices whose real part is positive semidefinite, is considered, wherein extensions of the results in the literature are obtained
AbstractLet A be an n-by-n matrix with real entries. We show that a necessary and sufficient conditi...
A real symmetric matrix M is completely positive semidefinite if it admits a Gram representation by ...
A real symmetric matrix M is completely positive semidefinite if it admits a Gram representation by ...
AbstractA matrix [aij(α)xij] is shown to be positive semidefinite or positive definite if the matrix...
International audienceEngineering sciences and applications of mathematics show unambiguously that p...
AbstractTwo new classes of matrices are introduced, containing hermitian positive semi-definite matr...
In this paper positive real matrices in indefinite inner product spaces are studied. This class of m...
The class of positive definite and positive semidefinite matrices is one of the most frequently enco...
Mehrmann V. On classes of matrices containing M-matrices, totally nonnegative and hermitian positive...
The class of positive definite and positive semidefinite matrices is one of the most frequently enco...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
Two classes of element-wise transformations are proved to preserve the positive semi-definite nature...
AbstractIt is shown in an elementary way that if A and B are positive semidefinite matrices, then pe...
Let A be an n-by-n matrix with real entries. We show that a necessary and sufficient condition for A...
AbstractWe characterize the complex square matrices which are expressible as the product of finitely...
AbstractLet A be an n-by-n matrix with real entries. We show that a necessary and sufficient conditi...
A real symmetric matrix M is completely positive semidefinite if it admits a Gram representation by ...
A real symmetric matrix M is completely positive semidefinite if it admits a Gram representation by ...
AbstractA matrix [aij(α)xij] is shown to be positive semidefinite or positive definite if the matrix...
International audienceEngineering sciences and applications of mathematics show unambiguously that p...
AbstractTwo new classes of matrices are introduced, containing hermitian positive semi-definite matr...
In this paper positive real matrices in indefinite inner product spaces are studied. This class of m...
The class of positive definite and positive semidefinite matrices is one of the most frequently enco...
Mehrmann V. On classes of matrices containing M-matrices, totally nonnegative and hermitian positive...
The class of positive definite and positive semidefinite matrices is one of the most frequently enco...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
Two classes of element-wise transformations are proved to preserve the positive semi-definite nature...
AbstractIt is shown in an elementary way that if A and B are positive semidefinite matrices, then pe...
Let A be an n-by-n matrix with real entries. We show that a necessary and sufficient condition for A...
AbstractWe characterize the complex square matrices which are expressible as the product of finitely...
AbstractLet A be an n-by-n matrix with real entries. We show that a necessary and sufficient conditi...
A real symmetric matrix M is completely positive semidefinite if it admits a Gram representation by ...
A real symmetric matrix M is completely positive semidefinite if it admits a Gram representation by ...
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