We give some lower bounds on the separations sep(1)(A, B), sep(infinity)(A, B), and sep(F)(A, B). The bounds show that the separation of two matrices A and B is closely related to the separation between the spectral sets of A and B, the structure of the Jordan canonical forms of A and B, and the departures from normality of A and B. (C) Elsevier Science Inc., 1997.Mathematics, AppliedMathematicsSCI(E)EI2ARTICLE1-367-8226
© 2014 London Mathematical Society.The lower spectral radius, or joint spectral subradius, of a set ...
The original publication is available at www.springerlink.comFor two Hermitian matrices A and B, at ...
AbstractUsing an approach of Bergh, we give an alternate proof of Bennett's result on lower bounds f...
AbstractWe give some lower bounds on the separations sep1(A, B), sep∞(A, B), and sepF(A, B). The bou...
A matrix lower bound is defined that generalizes ideas apparently due to S. Banach and J. von Neuma...
AbstractFour essentially different interpretations of a lower bound for linear operators are shown t...
Separation theorems for singular values of a matrix, similar to the Poincarè separation theorem for ...
AbstractUpper bounds for the spectral variation of two regular matrix pairs have been given in [Guox...
Consider a matrix A of order m×n defined on a field F. Let x and y be vectors in the column spans of...
Several “distances ” between the spectra of two regular matrix pencils are discussed and compared. T...
AbstractConsider a matrix A of order m × n defined on a field F. Let x and y be vectors in the colum...
AbstractSeveral “distances” between the spectra of two regular matrix pencils are discussed and comp...
The lower spectral radius of a set of d d matrices is de ned to be the minimum possible exponential ...
eprint: arXiv:1612.05664 [math.RA]International audienceWe show that the set of maximal lower bounds...
AbstractIt has been a durable conjecture that the distance (appropriately defined) between the spect...
© 2014 London Mathematical Society.The lower spectral radius, or joint spectral subradius, of a set ...
The original publication is available at www.springerlink.comFor two Hermitian matrices A and B, at ...
AbstractUsing an approach of Bergh, we give an alternate proof of Bennett's result on lower bounds f...
AbstractWe give some lower bounds on the separations sep1(A, B), sep∞(A, B), and sepF(A, B). The bou...
A matrix lower bound is defined that generalizes ideas apparently due to S. Banach and J. von Neuma...
AbstractFour essentially different interpretations of a lower bound for linear operators are shown t...
Separation theorems for singular values of a matrix, similar to the Poincarè separation theorem for ...
AbstractUpper bounds for the spectral variation of two regular matrix pairs have been given in [Guox...
Consider a matrix A of order m×n defined on a field F. Let x and y be vectors in the column spans of...
Several “distances ” between the spectra of two regular matrix pencils are discussed and compared. T...
AbstractConsider a matrix A of order m × n defined on a field F. Let x and y be vectors in the colum...
AbstractSeveral “distances” between the spectra of two regular matrix pencils are discussed and comp...
The lower spectral radius of a set of d d matrices is de ned to be the minimum possible exponential ...
eprint: arXiv:1612.05664 [math.RA]International audienceWe show that the set of maximal lower bounds...
AbstractIt has been a durable conjecture that the distance (appropriately defined) between the spect...
© 2014 London Mathematical Society.The lower spectral radius, or joint spectral subradius, of a set ...
The original publication is available at www.springerlink.comFor two Hermitian matrices A and B, at ...
AbstractUsing an approach of Bergh, we give an alternate proof of Bennett's result on lower bounds f...
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