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» Proximality and Chebyshev sets
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OL
2007
87views more  OL 2007»
13 years 10 months ago
Proximality and Chebyshev sets
This paper is a companion to a lecture given at the Prague Spring School in Analysis in April 2006. It highlights four distinct variational methods of proving that a finite dimens...
Jonathan M. Borwein
SIAMMAX
2010
103views more  SIAMMAX 2010»
13 years 5 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
GLOBECOM
2007
IEEE
14 years 5 months ago
Robust Chebyshev FIR Equalization
Abstract—In Chebyshev finite-impulse response (FIR) equalization, we design an FIR filter that minimizes the Chebyshev equalization error, i.e., the maximum absolute deviation ...
Almir Mutapcic, Seung-Jean Kim, Stephen P. Boyd
JAT
2010
80views more  JAT 2010»
13 years 9 months ago
The Bregman distance, approximate compactness and convexity of Chebyshev sets in Banach spaces
We present some sufficient conditions ensuring the upper semicontinuity and the continuity of the Bregman projection operator Π g C and the relative projection operator P g C in...
Chong Li, Wen Song, Jen-Chih Yao
SIGMOD
2004
ACM
126views Database» more  SIGMOD 2004»
14 years 11 months ago
Indexing Spatio-Temporal Trajectories with Chebyshev Polynomials
In this paper, we attempt to approximate and index a ddimensional (d 1) spatio-temporal trajectory with a low order continuous polynomial. There are many possible ways to choose ...
Yuhan Cai, Raymond T. Ng