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» On Chebyshev Polynomials of Matrices
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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
ICPR
2008
IEEE
13 years 11 months ago
Generalized Chebyshev Kernels for Support Vector Classification
In this paper, a method to generalize previously proposed Chebyshev Kernel function is presented for Support Vector Classification in order to obtain more robust and higher classi...
Sedat Ozer, Chi Hau Chen
JSC
2010
82views more  JSC 2010»
12 years 11 months ago
The first rational Chebyshev knots
A Chebyshev knot C(a, b, c, ) is a knot which has a parametrization of the form x(t) = Ta(t); y(t) = Tb(t); z(t) = Tc(t + ), where a, b, c are integers, Tn(t) is the Chebyshev pol...
Pierre-Vincent Koseleff, D. Pecker, F. Rouillier
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
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 4 months ago
On Polynomial Multiplication in Chebyshev Basis
In a recent paper Lima, Panario and Wang have provided a new method to multiply polynomials in Chebyshev basis which aims at reducing the total number of multiplication when polyn...
Pascal Giorgi