Add to ORKGWe describe a lower bound for the rank of any real matrix in which all diagonal entries are significantly larger in absolute value than all other entries, and discuss several applications of this result to the study of problems in Geometry, Coding Theory, Extremal Finite Set Theory and Probability. This is partly a survey, containing a unified approach for proving various known results, but it contains several new results as well. 1
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
Abstract. Matrix perturbation inequalities, such as Weyl’s theorem (con-cerning the singular values)...
Abstract Rank-one perturbation of arbitrary matrices has many practical applications. In this paper,...
We consider a generic rank one structured perturbation on H-positive real matrices. The case with co...
We consider a generic rank one structured perturbation on H-positive real matrices. The case with co...
We study the rank of complex sparse matrices in which the supports of different columns have small i...
In this paper we study how perturbing a matri x changes its nonnegative rank. We prove that the nonn...
In this paper we study how perturbing a matri x changes its nonnegative rank. We prove that the nonn...
In this paper we study how perturbing a matrix changes its nonnegative rank. We prove that the nonne...
In this paper we study how perturbing a matrix changes its nonnegative rank. We prove that the nonne...
In this paper we study how perturbing a matri x changes its nonnegative rank. We prove that the nonn...
In this paper, strong relative perturbation bounds are developed for a number of linear algebra prob...
In this paper, strong relative perturbation bounds are developed for a number of linear algebra prob...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
Abstract. Matrix perturbation inequalities, such as Weyl’s theorem (con-cerning the singular values)...
Abstract Rank-one perturbation of arbitrary matrices has many practical applications. In this paper,...
We consider a generic rank one structured perturbation on H-positive real matrices. The case with co...
We consider a generic rank one structured perturbation on H-positive real matrices. The case with co...
We study the rank of complex sparse matrices in which the supports of different columns have small i...
In this paper we study how perturbing a matri x changes its nonnegative rank. We prove that the nonn...
In this paper we study how perturbing a matri x changes its nonnegative rank. We prove that the nonn...
In this paper we study how perturbing a matrix changes its nonnegative rank. We prove that the nonne...
In this paper we study how perturbing a matrix changes its nonnegative rank. We prove that the nonne...
In this paper we study how perturbing a matri x changes its nonnegative rank. We prove that the nonn...
In this paper, strong relative perturbation bounds are developed for a number of linear algebra prob...
In this paper, strong relative perturbation bounds are developed for a number of linear algebra prob...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...
We thank Maurizio Porfiri for pointing out a missing assumption in Proposition 4.3.In this paper, we...