V.Dobrynin.On the rank of a matrix associated with a graph. Discrete Mathematics . 2004On the rank of a matrix associated with a graph. V.Dobrynin. Discrete Mathematics . 2004V.Dobrynin.On the rank of a matrix associated with a graph. Discrete Mathematics . 2004...
On the -term rank of a matrix 下载积分: 1998 内容提示: Linear Algebra and its Applications 436 (2012) 1632–1643Contents lists available at SciVerse ScienceDirectLinear Algebra and its Applicationsjournal homepage: www.elsevier.com/locate/laaOn the t-term rank of a matrixRichard A. Brualdi...
内容提示: arXiv:1011.5870v1 [math.CO] 26 Nov 2010On the t-Term Rank of a MatrixRichard A. Brualdi, Kathleen P. Kiernan,Seth A. Meyer, Michael W. SchroederDepartment of MathematicsUniversity of WisconsinMadison, WI 53706{brualdi,kiernan,smeyer,schroede}@math.wisc.eduJune 21, 2013Dedicated...
Define the perrank of a matrix A to be the size of a largest square submatrix of A with nonzero permanent. Motivated in part by the Alon-Jaeger-Tarsi Conjecture [3], we prove several results on perranks. 1 Introduction Recall that the permanent of an n Theta n matrix is defined like...
摘要: This paper shows a theorem on the rank of a Jacobian matrix of a class of nonlinear equations consisting of n variables and (n-1) equations and gives its proof. The theorem depends heavily on the properties of both the Ω-matrix and the irreducible matrix....
These include Pan’s Trilinear Aggregation, Bini’s Border Rank and Sch¨onhage’s Asymptotic Sum inequality. In chapter 2, we look in detail at the current best estimate of ω found by Copper- smith and Winograd. We also propose a different method of evaluating the “value” of ...
On the Rank of the Sum of two Rectangular Matrices 来自 Cambridge Univ Press 喜欢 0 阅读量: 7 作者: CDJ Meyer 摘要: The purpose of this note is to present a short proof for the following theorem. Let A and B be two complex m x n matrices. If B*A = 0 and AB* = 0 then...
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We determine the rank of a general real binary form of degree d=4 or d=5. In the case d=5, the possible values of the rank of such general forms are 3, 4, and 5. This is the first reported case, to our knowledge, where more than two typical ranks have been found. We prove ...