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» On Chebyshev Polynomials of Matrices
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ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
13 years 11 months ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
CORR
2006
Springer
78views Education» more  CORR 2006»
13 years 7 months ago
Efficient algorithms for deciding the type of growth of products of integer matrices
For a given finite set of matrices with nonnegative integer entries we study the growth with t of max{ A1
Raphael M. Jungers, Vladimir Protasov, Vincent D. ...
SIAMMAX
2010
149views more  SIAMMAX 2010»
13 years 2 months ago
The Condition Metric in the Space of Rectangular Full Rank Matrices
The condition metric in spaces of polynomial systems has been introduced and studied in a series of papers by Beltr
Paola Boito, Jean-Pierre Dedieu
JC
2008
68views more  JC 2008»
13 years 7 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
COMBINATORICS
2000
90views more  COMBINATORICS 2000»
13 years 7 months ago
Determinantal Expression and Recursion for Jack Polynomials
We describe matrices whose determinants are the Jack polynomials expanded in terms of the monomial basis. The top row of such a matrix is a list of monomial functions, the entries...
Luc Lapointe, Alain Lascoux, Jennifer Morse