We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results. Also, we give a relation for the cosine of the angle between two given real matrices
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
AbstractWe consider the problem of identifying all determinantal inequalities valid on all positive ...
AbstractResults are established which relate the range and inertia of general transformations on pos...
We present some lower bounds for the Frobenius condition number of a positive definite matrix depen...
the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduc...
the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduc...
AbstractWe study the geometrical properties of the Frobenius condition number on the cone of symmetr...
AbstractIn this note we generalize an upper bound given in Guggenheimer et al. (College Math. J. 26(...
In this article, new upper and lower bounds for the spectral condition number are obtained. These bo...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
This paper investigates conditions under which correlation matrices have a strictly positive domi...
In matrix computations, such as in factoring matrices, Hermitian and, preferably, positive definite ...
AbstractIn matrix computations, such as in factoring matrices, Hermitian and, preferably, positive d...
In this note, the matrix trace inequality for positive semidefinite matrices A and B, is established...
The nearest symmetric positive semidefinite matrix in the Frobenius norm to an arbitrary real matrix...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
AbstractWe consider the problem of identifying all determinantal inequalities valid on all positive ...
AbstractResults are established which relate the range and inertia of general transformations on pos...
We present some lower bounds for the Frobenius condition number of a positive definite matrix depen...
the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduc...
the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduc...
AbstractWe study the geometrical properties of the Frobenius condition number on the cone of symmetr...
AbstractIn this note we generalize an upper bound given in Guggenheimer et al. (College Math. J. 26(...
In this article, new upper and lower bounds for the spectral condition number are obtained. These bo...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
This paper investigates conditions under which correlation matrices have a strictly positive domi...
In matrix computations, such as in factoring matrices, Hermitian and, preferably, positive definite ...
AbstractIn matrix computations, such as in factoring matrices, Hermitian and, preferably, positive d...
In this note, the matrix trace inequality for positive semidefinite matrices A and B, is established...
The nearest symmetric positive semidefinite matrix in the Frobenius norm to an arbitrary real matrix...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
AbstractWe consider the problem of identifying all determinantal inequalities valid on all positive ...
AbstractResults are established which relate the range and inertia of general transformations on pos...
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