AbstractWe give a simple criterion for the invertibility of a class of banded matrices that arise in the approximation by piecewise cubic polynomials. We also give a formula for the inverse in terms of the powers of a 2 × 2 matrix. We present sample applications of these results to interpolation and eigenvalue problems. As a side result wee find that the Gaussian points are best
We describe rank structures in generalized inverses of possibly rectangular banded matrices. In part...
Bounds for the ranks of upper-right submatrices of a generalized inverse of a strictly lower k-bande...
We describe a method for obtaining an analytic form for the inverse of a finite symmetric banded Toe...
AbstractWe establish a correspondence between the vanishing of a certain set of minors of a matrix A...
We discuss the conditions that are necessary for a given banded matrix to have a banded inverse. Alt...
AbstractThe additive structure of the inverses of banded matrices is investigated. Under certain con...
AbstractThe inverses of r-banded matrices, for r=1,2,3 have been thoroughly investigated as one can ...
AbstractThis paper addresses the question of determining the class of rectangular matrices having a ...
AbstractGiven a Toeplitz matrix T with banded inverse [i.e., (T−1)ij=0 for j−i>p], we show that the ...
AbstractWe demonstrate that subject to certain regularity conditions any invertible matrix whose inv...
AbstractIn this paper, an inversion algorithm for a banded matrix is presented. The n twisted decomp...
AbstractOur concern is with the reconstruction of functions from linear observations which only depe...
Heinig and Tewodros [18] give a set of components whose existence provides a necessary and sufficien...
Abstract. We present a new representation for the inverse of a matrix that is a sum of a banded matr...
AbstractHeinig and Tewodors [18] give a set of components whose existence provides a necessary and s...
We describe rank structures in generalized inverses of possibly rectangular banded matrices. In part...
Bounds for the ranks of upper-right submatrices of a generalized inverse of a strictly lower k-bande...
We describe a method for obtaining an analytic form for the inverse of a finite symmetric banded Toe...
AbstractWe establish a correspondence between the vanishing of a certain set of minors of a matrix A...
We discuss the conditions that are necessary for a given banded matrix to have a banded inverse. Alt...
AbstractThe additive structure of the inverses of banded matrices is investigated. Under certain con...
AbstractThe inverses of r-banded matrices, for r=1,2,3 have been thoroughly investigated as one can ...
AbstractThis paper addresses the question of determining the class of rectangular matrices having a ...
AbstractGiven a Toeplitz matrix T with banded inverse [i.e., (T−1)ij=0 for j−i>p], we show that the ...
AbstractWe demonstrate that subject to certain regularity conditions any invertible matrix whose inv...
AbstractIn this paper, an inversion algorithm for a banded matrix is presented. The n twisted decomp...
AbstractOur concern is with the reconstruction of functions from linear observations which only depe...
Heinig and Tewodros [18] give a set of components whose existence provides a necessary and sufficien...
Abstract. We present a new representation for the inverse of a matrix that is a sum of a banded matr...
AbstractHeinig and Tewodors [18] give a set of components whose existence provides a necessary and s...
We describe rank structures in generalized inverses of possibly rectangular banded matrices. In part...
Bounds for the ranks of upper-right submatrices of a generalized inverse of a strictly lower k-bande...
We describe a method for obtaining an analytic form for the inverse of a finite symmetric banded Toe...
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