A note on the product of complementary principal minors of a positive definite matrix
- Murphy, Ian S.
DOIAbstract
AbstractAn upper bound is given for the product of complementary principal minors of a positive definite matrix in terms of its eigenvalues
AbstractAn upper bound is given for the product of complementary principal minors of a positive definite matrix in terms of its eigenvalues
AbstractBounds are derived for the eigenvalues of the Hermitian matrix C given by C=AB+BA, where A a...
summary:Lower bounds on the smallest eigenvalue of a symmetric positive definite matrix $A\in \mathb...
AbstractThe authors find the best possible bounds for some functions of the eigenvalues of (A ∘ C)C−...
AbstractAn upper bound is given for the product of complementary principal minors of a positive defi...
A result is given, relating the leading principal minors of a direct product of matrices to the lead...
3 pages, 1 article*On Principal Minors of Positive Definite Matrices* (Searle, S. R.) 3 page
AbstractIt is shown that the smallest eigenvalue of the Hadamard product A × B of two positive defin...
We give a sharp estimate for the eigenvectors of a positive definite Hermitian matrix under a floati...
AbstractWe give a sharp estimate for the eigenvectors of a positive definite Hermitian matrix under ...
AbstractFor positive definite hermitian matrices A and B, we obtain an upper and a lower bound for t...
AbstractWe study the eigenvalues of positive semidefinite matrix power products and obtain some ineq...
The original publication is available at www.springerlink.comFor two Hermitian matrices A and B, at ...
AbstractGiven Hermitian matrices A and B, Professor Taussky-Todd posed the problem of estimating the...
AbstractWe give a minimum principle for Schur complements of positive definite Hermitian matrices. F...
Abstract We prove an upper bound on sums of squares of minors of {+1, -1\}-matrices. The bound is sh...
AbstractBounds are derived for the eigenvalues of the Hermitian matrix C given by C=AB+BA, where A a...
summary:Lower bounds on the smallest eigenvalue of a symmetric positive definite matrix $A\in \mathb...
AbstractThe authors find the best possible bounds for some functions of the eigenvalues of (A ∘ C)C−...
AbstractAn upper bound is given for the product of complementary principal minors of a positive defi...
A result is given, relating the leading principal minors of a direct product of matrices to the lead...
3 pages, 1 article*On Principal Minors of Positive Definite Matrices* (Searle, S. R.) 3 page
AbstractIt is shown that the smallest eigenvalue of the Hadamard product A × B of two positive defin...
We give a sharp estimate for the eigenvectors of a positive definite Hermitian matrix under a floati...
AbstractWe give a sharp estimate for the eigenvectors of a positive definite Hermitian matrix under ...
AbstractFor positive definite hermitian matrices A and B, we obtain an upper and a lower bound for t...
AbstractWe study the eigenvalues of positive semidefinite matrix power products and obtain some ineq...
The original publication is available at www.springerlink.comFor two Hermitian matrices A and B, at ...
AbstractGiven Hermitian matrices A and B, Professor Taussky-Todd posed the problem of estimating the...
AbstractWe give a minimum principle for Schur complements of positive definite Hermitian matrices. F...
Abstract We prove an upper bound on sums of squares of minors of {+1, -1\}-matrices. The bound is sh...
AbstractBounds are derived for the eigenvalues of the Hermitian matrix C given by C=AB+BA, where A a...
summary:Lower bounds on the smallest eigenvalue of a symmetric positive definite matrix $A\in \mathb...
AbstractThe authors find the best possible bounds for some functions of the eigenvalues of (A ∘ C)C−...
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