Add to ORKGAbstract. We present a new representation for the inverse of a matrix that is a sum of a banded matrix and a semiseparable matrix. In particular, we show that under certain conditions, the inverse of a banded plus semiseparable matrix can also be expressed as a banded plus semiseparable matrix. Using this result, we devise a fast algorithm for the solution of linear systems of equations involving such matrices. Numerical results show that the new algorithm competes favorably with existing techniques in terms of computational time
Abstract. An extended sequentially semiseparable (SSS) representation derived from time-varying syst...
AbstractWe devise parallel algorithms for solving a banded linear system of equations and for comput...
. We present and compare several methods for multiplying banded square matrices. Various storage sch...
AbstractMatrices represented as a sum of diagonal and semiseparable ones are considered here. These ...
AbstractIn this paper, an inversion algorithm for a banded matrix is presented. The n twisted decomp...
AbstractThe additive structure of the inverses of banded matrices is investigated. Under certain con...
Summary We provide a new representation for the inverse of block tridiagonal and banded matrices. Th...
AbstractStructural properties of the inverses of band matrices are discussed. The definition of semi...
Structural properties of the inverses of band matrices are discussed. The definition of semiseparabl...
We discuss the conditions that are necessary for a given banded matrix to have a banded inverse. Alt...
A class of full or triangular matrices R is described for which there exist banded matrices 13 such ...
Introduction Let A = [a ij ] be a n \Theta n matrix such that a ij = 0 if ji \Gamma jj ? m: (1) Su...
AbstractWe study structured matrices which consist of a band part and quasiseparable parts below and...
AbstractWe establish a correspondence between the vanishing of a certain set of minors of a matrix A...
AbstractIn this paper, we will derive a solver for a symmetric strongly nonsingular higher order gen...
Abstract. An extended sequentially semiseparable (SSS) representation derived from time-varying syst...
AbstractWe devise parallel algorithms for solving a banded linear system of equations and for comput...
. We present and compare several methods for multiplying banded square matrices. Various storage sch...
AbstractMatrices represented as a sum of diagonal and semiseparable ones are considered here. These ...
AbstractIn this paper, an inversion algorithm for a banded matrix is presented. The n twisted decomp...
AbstractThe additive structure of the inverses of banded matrices is investigated. Under certain con...
Summary We provide a new representation for the inverse of block tridiagonal and banded matrices. Th...
AbstractStructural properties of the inverses of band matrices are discussed. The definition of semi...
Structural properties of the inverses of band matrices are discussed. The definition of semiseparabl...
We discuss the conditions that are necessary for a given banded matrix to have a banded inverse. Alt...
A class of full or triangular matrices R is described for which there exist banded matrices 13 such ...
Introduction Let A = [a ij ] be a n \Theta n matrix such that a ij = 0 if ji \Gamma jj ? m: (1) Su...
AbstractWe study structured matrices which consist of a band part and quasiseparable parts below and...
AbstractWe establish a correspondence between the vanishing of a certain set of minors of a matrix A...
AbstractIn this paper, we will derive a solver for a symmetric strongly nonsingular higher order gen...
Abstract. An extended sequentially semiseparable (SSS) representation derived from time-varying syst...
AbstractWe devise parallel algorithms for solving a banded linear system of equations and for comput...
. We present and compare several methods for multiplying banded square matrices. Various storage sch...