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ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
14 years 1 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
JSC
2006
85views more  JSC 2006»
13 years 7 months ago
Fraction-free row reduction of matrices of Ore polynomials
In this paper we give formulas for performing row reduction of a matrix of Ore polynomials in a fraction-free way. The reductions can be used for finding the rank and left nullspa...
Bernhard Beckermann, Howard Cheng, George Labahn
CVPR
2011
IEEE
13 years 3 months ago
Non-Rigid Structure from Motion with Complementary Rank-3 Spaces
Non-rigid structure from motion (NR-SFM) is a difficult, underconstrained problem in computer vision. This paper proposes a new algorithm that revises the standard matrix factori...
Paulo Gotardo, Aleix Martinez
COCO
2009
Springer
119views Algorithms» more  COCO 2009»
14 years 2 months ago
An Approximation Algorithm for Approximation Rank
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix— th...
Troy Lee, Adi Shraibman
ICPR
2008
IEEE
14 years 1 months ago
Incremental clustering via nonnegative matrix factorization
Nonnegative matrix factorization (NMF) has been shown to be an efficient clustering tool. However, NMF`s batch nature necessitates recomputation of whole basis set for new samples...
Serhat Selcuk Bucak, Bilge Günsel