New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation.
Bounds for the inverses of diagonally dominant pentadiagonal matrices.
New estimates for the solution of the Lyapunov matrix differential equation.
Matrix bounds for the solution of the continuous algebraic Riccati equation.
Generalized Schur complements of matrices and compound matrices.
New lower solution bounds for the continuous algebraic Riccati equation.
Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations.
A new upper bound for the eigenvalues of the continuous algebraic Riccati equation.
A lower bound sequence for the minimum eigenvalue of Hadamard product of an -matrix and its inverse
We propose a lower bound sequence for the minimum eigenvalue of Hadamard product of an -matrix and its inverse, in terms of an -type eigenvalues inclusion set and inequality scaling techniques. In addition, it is proved that the lower bound sequence converges. Several numerical experiments are given to demonstrate that the lower bound sequence is sharper than some existing ones in most cases.
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