AbstractThis paper is concerned with a collection of ideas and problems in approximation theory which lead to some solved and unsolved problems in matrix theory. As an example, consider the problem of approximating the identity matrix by matrices of fixed rank where the norm is taken to be the maximum of the absolute value of the elements of the matrix. This problem is unsolved
Elsner L, van den Driessche P. Max-algebra and pairwise comparison matrices, II. Linear Algebra and ...
AbstractMatrix rank minimization problems are gaining plenty of recent attention in both mathematica...
The operation ‘multiplication of a vector by a matrix ’ can be represented by a computational scheme...
AbstractWe consider the problem of approximating matrices by matrices of rank n in the |·|p,q norm. ...
Abstract in Undetermined In this paper theoretical results regarding a generalized minimum rank matr...
Abstract. A new point of view is introduced in the study of completion problems for partially dened ...
We relate the problem of best low-rank approximation in the spectral norm for a matrix A to Kolmogor...
AbstractWe investigate the properties of the approximation of a matrix by matrices whose spectra are...
International audienceIn this note we give a general solution of a matrix approximation problem for ...
The problem of finding a k×k submatrix of maximum volume of a matrix A is of interest in a variety o...
A good part of matrix theory is functional analytic in spirit. This statement can be turned around. ...
AbstractThe properties of linear approximations of a matrix are presented with respect to the spectr...
AbstractFirst we study several extremal problems on minimax, and prove that they are equivalent. The...
This book is intended as a self-contained introduction for non-specialists, or as a reference work f...
Abstract. When a square matrix A, is diagonalizable, (for example, when A is Hermitian or has distin...
Elsner L, van den Driessche P. Max-algebra and pairwise comparison matrices, II. Linear Algebra and ...
AbstractMatrix rank minimization problems are gaining plenty of recent attention in both mathematica...
The operation ‘multiplication of a vector by a matrix ’ can be represented by a computational scheme...
AbstractWe consider the problem of approximating matrices by matrices of rank n in the |·|p,q norm. ...
Abstract in Undetermined In this paper theoretical results regarding a generalized minimum rank matr...
Abstract. A new point of view is introduced in the study of completion problems for partially dened ...
We relate the problem of best low-rank approximation in the spectral norm for a matrix A to Kolmogor...
AbstractWe investigate the properties of the approximation of a matrix by matrices whose spectra are...
International audienceIn this note we give a general solution of a matrix approximation problem for ...
The problem of finding a k×k submatrix of maximum volume of a matrix A is of interest in a variety o...
A good part of matrix theory is functional analytic in spirit. This statement can be turned around. ...
AbstractThe properties of linear approximations of a matrix are presented with respect to the spectr...
AbstractFirst we study several extremal problems on minimax, and prove that they are equivalent. The...
This book is intended as a self-contained introduction for non-specialists, or as a reference work f...
Abstract. When a square matrix A, is diagonalizable, (for example, when A is Hermitian or has distin...
Elsner L, van den Driessche P. Max-algebra and pairwise comparison matrices, II. Linear Algebra and ...
AbstractMatrix rank minimization problems are gaining plenty of recent attention in both mathematica...
The operation ‘multiplication of a vector by a matrix ’ can be represented by a computational scheme...
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