Add to ORKGIn this note, we provide some details and proofs of some results from Appendix A.5 (especially Section A.5.5) of Convex Optimization by Boyd and Vandenberghe [1]. Let M be an n × n matrix written a as 2 × 2 block matrix M
AbstractIf A and C are n x n Hermitian matrices and if B is an n x n symmetric matrix, we consider i...
AbstractWe prove that a necessary and sufficient condition for a given partially positive matrix to ...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
This note gives perturbation bounds for the Schur complement of a positive definite matrix in a posi...
be an n × n positive semidefinite matrix, where H11 is k × k with 1 ≤ k < n. The generalized Schu...
There is growing interest in optimization problems with real symmetric matrices as variables. Genera...
Let A and B be n-square positive definite matrices. Denote the Hadamard product of A and B by A o B....
Let A and B be n-square positive definite matrices. Denote the Hadamard product of A and B by A o B....
AbstractGiven a matrix M=ABCD, the Schur complements of A in M are the matrices of the form S = D − ...
AbstractWe give a minimum principle for Schur complements of positive definite Hermitian matrices. F...
The research. concerns the development of algorithms for solving convex optimization problems over t...
A problem studied by Flanders (1975) is to minimize the function f(R) tr(SR+TR-1) over the set of po...
If A is a hermitian positive semidefinite n × n matrix, then Schur's inequality asserts that Σσ∈G X ...
Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of ma...
AbstractThis paper presents necessary and sufficient conditions for Schur stability of all convex co...
AbstractIf A and C are n x n Hermitian matrices and if B is an n x n symmetric matrix, we consider i...
AbstractWe prove that a necessary and sufficient condition for a given partially positive matrix to ...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
This note gives perturbation bounds for the Schur complement of a positive definite matrix in a posi...
be an n × n positive semidefinite matrix, where H11 is k × k with 1 ≤ k < n. The generalized Schu...
There is growing interest in optimization problems with real symmetric matrices as variables. Genera...
Let A and B be n-square positive definite matrices. Denote the Hadamard product of A and B by A o B....
Let A and B be n-square positive definite matrices. Denote the Hadamard product of A and B by A o B....
AbstractGiven a matrix M=ABCD, the Schur complements of A in M are the matrices of the form S = D − ...
AbstractWe give a minimum principle for Schur complements of positive definite Hermitian matrices. F...
The research. concerns the development of algorithms for solving convex optimization problems over t...
A problem studied by Flanders (1975) is to minimize the function f(R) tr(SR+TR-1) over the set of po...
If A is a hermitian positive semidefinite n × n matrix, then Schur's inequality asserts that Σσ∈G X ...
Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of ma...
AbstractThis paper presents necessary and sufficient conditions for Schur stability of all convex co...
AbstractIf A and C are n x n Hermitian matrices and if B is an n x n symmetric matrix, we consider i...
AbstractWe prove that a necessary and sufficient condition for a given partially positive matrix to ...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...