the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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 matrix computations, such as in factoring matrices, Hermitian and, preferably, positive d...
AbstractThe nearest symmetric positive semidefinite matrix in the Frobenius norm to an arbitrary rea...
This paper investigates conditions under which correlation matrices have a strictly positive domi...
the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduc...
We present some lower bounds for the Frobenius condition number of a positive definite matrix depen...
We present some lower bounds for the Frobenius condition number of a positive definite matrix depend...
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...
This paper deals with the orthogonal projection (in the Frobenius sense) AN of the identity matrix I...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
AbstractWe consider the problem of identifying all determinantal inequalities valid on all positive ...
In matrix computations, such as in factoring matrices, Hermitian and, preferably, positive definite ...
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 matrix computations, such as in factoring matrices, Hermitian and, preferably, positive d...
AbstractThe nearest symmetric positive semidefinite matrix in the Frobenius norm to an arbitrary rea...
This paper investigates conditions under which correlation matrices have a strictly positive domi...
the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduc...
We present some lower bounds for the Frobenius condition number of a positive definite matrix depen...
We present some lower bounds for the Frobenius condition number of a positive definite matrix depend...
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...
This paper deals with the orthogonal projection (in the Frobenius sense) AN of the identity matrix I...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
AbstractWe consider the problem of identifying all determinantal inequalities valid on all positive ...
In matrix computations, such as in factoring matrices, Hermitian and, preferably, positive definite ...
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 matrix computations, such as in factoring matrices, Hermitian and, preferably, positive d...
AbstractThe nearest symmetric positive semidefinite matrix in the Frobenius norm to an arbitrary rea...
This paper investigates conditions under which correlation matrices have a strictly positive domi...