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SIAMMAX
2010
103views more  SIAMMAX 2010»
12 years 11 months ago
On Chebyshev Polynomials of Matrices
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is u...
Vance Faber, Jörg Liesen, Petr Tichý
JAT
2010
171views more  JAT 2010»
12 years 11 months ago
Chebyshev approximation of the null function by an affine combination of complex exponential functions
We describe the theoretical solution of an approximation problem that uses a finite weighted sum of complex exponential functions. The problem arises in an optimization model for t...
Paul Armand, Joël Benoist, Elsa Bousquet
COMBINATORICS
2002
71views more  COMBINATORICS 2002»
13 years 4 months ago
Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials
Several authors have examined connections between permutations which avoid 132, continued fractions, and Chebyshev polynomials of the second kind. In this paper we prove analogues...
Eric S. Egge, Toufik Mansour
ICIP
2006
IEEE
14 years 6 months ago
Rendering Synthetic Objects in Natural Scenes
We present a method for solving the light integral problem for synthetic diffuse objects rendered within a natural scene. The approach generates realistic shading using only a few...
Mais Alnasser, Hassan Foroosh