AbstractWe consider the problem of approximating matrices by matrices of rank n in the |·|p,q norm. Among other results, we prove that if A is a totally positive matrix, and |A|1,1 is the norm given by the sum of the absolute values of the entries of the matrix, then a best rank n approximation to A in this norm is given by a matrix that agrees with A on n rows and n columns
Given a nonnegative polynomial f, we provide an explicit expression for its best $\ell_1$-norm appro...
AbstractLet an m × n matrix A be approximated by a rank-r matrix with an accuracy ε. We prove that i...
AbstractLet |A|p,q be the norm induced on the matrix A with n rows and m columns by the Hölder ℓp an...
AbstractThis paper is concerned with a collection of ideas and problems in approximation theory whic...
AbstractInformation is obtained about best approximation of a matrix by positive semidefinite ones, ...
Data measured in the real-world is often composed of both a true signal, such as an image or experim...
Abstract in Undetermined In this paper theoretical results regarding a generalized minimum rank matr...
We consider ℓ1-Rank-r Approximation over GF(2), where for a binary m × n matrix A and a positive int...
We consider ₁-Rank-r Approximation over {GF}(2), where for a binary m× n matrix and a positive inte...
Low-rank matrix approximation finds wide application in the analysis of big data, in recommendation ...
We study the -rank of a real matrix A, defined for any > 0 as the minimum rank over matrices that...
We relate the problem of best low-rank approximation in the spectral norm for a matrix A to Kolmogor...
AbstractMonotone approximation relative to peak norms is studied both on an interval and in the disc...
AbstractThe properties of linear approximations of a matrix are presented with respect to the spectr...
I will talk aboutthe problem of computing the operator norm of a matrix mapping vectors in the space...
Given a nonnegative polynomial f, we provide an explicit expression for its best $\ell_1$-norm appro...
AbstractLet an m × n matrix A be approximated by a rank-r matrix with an accuracy ε. We prove that i...
AbstractLet |A|p,q be the norm induced on the matrix A with n rows and m columns by the Hölder ℓp an...
AbstractThis paper is concerned with a collection of ideas and problems in approximation theory whic...
AbstractInformation is obtained about best approximation of a matrix by positive semidefinite ones, ...
Data measured in the real-world is often composed of both a true signal, such as an image or experim...
Abstract in Undetermined In this paper theoretical results regarding a generalized minimum rank matr...
We consider ℓ1-Rank-r Approximation over GF(2), where for a binary m × n matrix A and a positive int...
We consider ₁-Rank-r Approximation over {GF}(2), where for a binary m× n matrix and a positive inte...
Low-rank matrix approximation finds wide application in the analysis of big data, in recommendation ...
We study the -rank of a real matrix A, defined for any > 0 as the minimum rank over matrices that...
We relate the problem of best low-rank approximation in the spectral norm for a matrix A to Kolmogor...
AbstractMonotone approximation relative to peak norms is studied both on an interval and in the disc...
AbstractThe properties of linear approximations of a matrix are presented with respect to the spectr...
I will talk aboutthe problem of computing the operator norm of a matrix mapping vectors in the space...
Given a nonnegative polynomial f, we provide an explicit expression for its best $\ell_1$-norm appro...
AbstractLet an m × n matrix A be approximated by a rank-r matrix with an accuracy ε. We prove that i...
AbstractLet |A|p,q be the norm induced on the matrix A with n rows and m columns by the Hölder ℓp an...
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