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ECCC
2011
223views ECommerce» more  ECCC 2011»
13 years 5 months ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
CORR
2006
Springer
93views Education» more  CORR 2006»
13 years 10 months ago
Fast and Simple Methods For Computing Control Points
The purpose of this paper is to present simple and fast methods for computing control points for polynomial curves and polynomial surfaces given explicitly in terms of polynomials ...
Jean H. Gallier, Weqing Gu
JC
2008
77views more  JC 2008»
13 years 10 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...
JAT
2002
62views more  JAT 2002»
13 years 9 months ago
Coconvex Approximation
Let f C[-1, 1] change its convexity finitely many times, in the interval. We are interested in estimating the degree of approximation of f by polynomials which are coconvex with i...
Dany Leviatan, Igor A. Shevchuk
ICASSP
2011
IEEE
13 years 1 months ago
Rank-deficient quadratic-form maximization over M-phase alphabet: Polynomial-complexity solvability and algorithmic developments
The maximization of a positive (semi)definite complex quadratic form over a finite alphabet is NP-hard and achieved through exhaustive search when the form has full rank. Howeve...
Anastasios T. Kyrillidis, George N. Karystinos