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» The Polynomial Method for Random Matrices
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JC
2008
68views more  JC 2008»
13 years 5 months ago
On the number of minima of a random polynomial
We give an upper bound in O(d(n+1)/2 ) for the number of critical points of a normal random polynomial. The number of minima (resp. maxima) is in O(d(n+1)/2 )Pn, where Pn is the (...
Jean-Pierre Dedieu, Gregorio Malajovich
CORR
2011
Springer
213views Education» more  CORR 2011»
12 years 9 months ago
Symbolic computation of weighted Moore-Penrose inverse using partitioning method
We propose a method and algorithm for computing the weighted MoorePenrose inverse of one-variable rational matrices. Also, we develop an algorithm for computing the weighted Moore...
Milan B. Tasic, Predrag S. Stanimirovic, Marko D. ...
CORR
2007
Springer
74views Education» more  CORR 2007»
13 years 5 months ago
Computing Minimal Polynomials of Matrices
We present and analyse a Monte-Carlo algorithm to compute the minimal polynomial of an n × n matrix over a finite field that requires O(n3 ) field operations and O(n) random v...
Max Neunhöffer, Cheryl E. Praeger
JSC
2006
85views more  JSC 2006»
13 years 5 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
GI
2010
Springer
13 years 3 months ago
Extended Object and Group Tracking: A Comparison of Random Matrices and Random Hypersurface Models
: Based on previous work of the authors, this paper provides a comparison of two different tracking methodologies for extended objects and group targets, where the true shape of th...
Marcus Baum, Michael Feldmann, Dietrich Fraenken, ...