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Abstract: In this report we present a numerical algorithm for decomposing a solution set V of n-variate polynomials pl 1 = 0; 1 1 1 ; pl m = 0, where pl j (z) = pl j (z 1 ; z 2 ; 1 1 1 ; zn ); j = 1; 1 1 1 ; m; (n ? 1) into non-singular numerical complexes cw 1 ; 1 1 1 ; cw k . For example, let n = 2; m = 1. Then a polynomial pl 1 (z) is pl(z 1 ; z 2 ), and let the boundary conditions be pl(z 1 ; z 2 = 0) = f(z 1 ) and pl(z 1 = 0; z 2 ) = g(z 2 ). Where functions f and g are, respectively, all-pole parts ... (Update)
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BibTeX entry: (Update)
@misc{ set-discrete,
author = "For Solution Set",
title = "Discrete stratified Morse theory and tangent cone algorithm",
url = "citeseer.ist.psu.edu/754891.html" }
Citations (may not include all citations):50 Stratified Morse theory (context) - Goresky, MacPherson - 1988
3 Witten-Morse theory for cell complexes (context) - Forman - 1998
3 Witten's complex of spectral deformation and Morse theory (context) - Shiraki - 1998
2 Multidimensional FIR filter bank design using Grobner bases (context) - Charoenlarpnopparut, Bose - 1999
1 Multidimensional digital signal processing (context) - Bose - 1990
1 Very Low-Bit-Rate Speech Coding (context) - Honda, Shiraki - 1992
1 Diphone multi-trajectory subspace models - Reinhard, Niranjan - 1999
1 Computer algebra and algebraic geometry (context) - Greuel - 2000
Documents on the same site (http://www.brl.ntt.co.jp/people/shiraki/paper/list-j.html):
ISIT 1998, Cambridge, MA, USA, August 16 -- August 21 - Witten's Complex Of (Correct)
Smooth Interpolation Of A Pair Of Speech Spectral - Sequences By Minimizing (Correct)
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