AbstractWe consider displacements which are linear operations mapping a near-Toeplitz matrix into a low-rank matrix. The objective is to use this low-rank representation in solving matrix equations in place of using the full matrix. Two formulas for the displacement of the product of two matrices are presented and applied. Applications include multiplication of Toeplitz matrices, inversion of near-Toeplitz matrices, and finding the eigenvectors of a special class of matrices
Using the notion of displacement rank, we look for a unifying approach to representations of a matri...
AbstractUsing the notion of displacement rank, we look for a unifying approach to representations of...
nonexclusive right to make this work available for noncommercial, educational purposes, provided tha...
AbstractWe consider displacements which are linear operations mapping a near-Toeplitz matrix into a ...
AbstractUsing the approach of Bozzo, Di Fiore, and Zellini, new matrix displacement decomposition fo...
AbstractIt takes of the order of N3 operations to solve a set of N linear equations in N unknowns or...
Using the approach of Bozzo, Di Fiore, and Zellini, new matrix displacement decomposition formulas a...
There are various ways to prove that, under suitable conditions, the inverse of a Toeplitz matrix c...
AbstractWe introduce some generalized concepts of displacement structure for structured matrices obt...
AbstractAn r-Toeplitz (rT) matrix can be regarded as a block Toeplitz matrix of order mr from which ...
AbstractThe problem of solving linear equations, or equivalently of inverting matrices, arises in ma...
The authors extend some recent results of Di Fiore and Zellini [Linear Algebra Appl., to appear], ob...
The authors extend some recent results of Di Fiore and Zellini [Linear Algebra Appl., to appear], ob...
Using the concept of displacement rank, we suggest new formulas for the representation ...
AbstractWe show how an arbitrary square matrix can be expressed as sums of products of circulant and...
Using the notion of displacement rank, we look for a unifying approach to representations of a matri...
AbstractUsing the notion of displacement rank, we look for a unifying approach to representations of...
nonexclusive right to make this work available for noncommercial, educational purposes, provided tha...
AbstractWe consider displacements which are linear operations mapping a near-Toeplitz matrix into a ...
AbstractUsing the approach of Bozzo, Di Fiore, and Zellini, new matrix displacement decomposition fo...
AbstractIt takes of the order of N3 operations to solve a set of N linear equations in N unknowns or...
Using the approach of Bozzo, Di Fiore, and Zellini, new matrix displacement decomposition formulas a...
There are various ways to prove that, under suitable conditions, the inverse of a Toeplitz matrix c...
AbstractWe introduce some generalized concepts of displacement structure for structured matrices obt...
AbstractAn r-Toeplitz (rT) matrix can be regarded as a block Toeplitz matrix of order mr from which ...
AbstractThe problem of solving linear equations, or equivalently of inverting matrices, arises in ma...
The authors extend some recent results of Di Fiore and Zellini [Linear Algebra Appl., to appear], ob...
The authors extend some recent results of Di Fiore and Zellini [Linear Algebra Appl., to appear], ob...
Using the concept of displacement rank, we suggest new formulas for the representation ...
AbstractWe show how an arbitrary square matrix can be expressed as sums of products of circulant and...
Using the notion of displacement rank, we look for a unifying approach to representations of a matri...
AbstractUsing the notion of displacement rank, we look for a unifying approach to representations of...
nonexclusive right to make this work available for noncommercial, educational purposes, provided tha...