AbstractEntire matrix-valued functions of a complex argument (entire matrix pencils) are considered. Upper bounds for sums of characteristic values and a lower bound for the smallest characteristic value are derived in the terms of the coefficients of the Taylor series. These results are new even for polynomial pencils
AbstractSeveral “distances” between the spectra of two regular matrix pencils are discussed and comp...
Eigenvalue bounds are obtained for pencils of matrices A - vB where A is a Stieltjes matrix and B is...
AbstractThe coefficients of the characteristic polynomial of a matrix are expressed solely as functi...
AbstractEntire matrix-valued functions of a complex argument (entire matrix pencils) are considered....
We derive an explicit formula for the remainder term of a Taylor polynomial of a matrix function. Th...
We derive an explicit formula for the remainder term of a Taylor polynomial of a matrix function. Th...
We derive an explicit formula for the remainder term of a Taylor polynomial of a matrix function. Th...
AbstractWe derive an explicit formula for the remainder term of a Taylor polynomial of a matrix func...
In this paper, we present an algorithm for computing the characteristic polynomial of the pencil (A ...
In this paper, we present an algorithm for computing the characteristic polynomial of the pencil (A ...
ABSTRACT. This note presents absolute bounds on the size of the coefficients of the characteristic a...
International audienceThis note presents absolute bounds on the size of the coefficients of the char...
Several “distances ” between the spectra of two regular matrix pencils are discussed and compared. T...
Abstract. A classical theorem proved in 1942 by I.J. Schoenberg describes all real-valued functions ...
AbstractEigenvalue bounds are obtained for pencils of matrices A − vB where A is a Stieltjes matrix ...
AbstractSeveral “distances” between the spectra of two regular matrix pencils are discussed and comp...
Eigenvalue bounds are obtained for pencils of matrices A - vB where A is a Stieltjes matrix and B is...
AbstractThe coefficients of the characteristic polynomial of a matrix are expressed solely as functi...
AbstractEntire matrix-valued functions of a complex argument (entire matrix pencils) are considered....
We derive an explicit formula for the remainder term of a Taylor polynomial of a matrix function. Th...
We derive an explicit formula for the remainder term of a Taylor polynomial of a matrix function. Th...
We derive an explicit formula for the remainder term of a Taylor polynomial of a matrix function. Th...
AbstractWe derive an explicit formula for the remainder term of a Taylor polynomial of a matrix func...
In this paper, we present an algorithm for computing the characteristic polynomial of the pencil (A ...
In this paper, we present an algorithm for computing the characteristic polynomial of the pencil (A ...
ABSTRACT. This note presents absolute bounds on the size of the coefficients of the characteristic a...
International audienceThis note presents absolute bounds on the size of the coefficients of the char...
Several “distances ” between the spectra of two regular matrix pencils are discussed and compared. T...
Abstract. A classical theorem proved in 1942 by I.J. Schoenberg describes all real-valued functions ...
AbstractEigenvalue bounds are obtained for pencils of matrices A − vB where A is a Stieltjes matrix ...
AbstractSeveral “distances” between the spectra of two regular matrix pencils are discussed and comp...
Eigenvalue bounds are obtained for pencils of matrices A - vB where A is a Stieltjes matrix and B is...
AbstractThe coefficients of the characteristic polynomial of a matrix are expressed solely as functi...
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