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89
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TOMS
2011
101views more  TOMS 2011»
14 years 7 months ago
Partitioned Triangular Tridiagonalization
Abstract. We present a partitioned algorithm for reducing a symmetric matrix to a tridiagonal form, with partial pivoting. That is, the algorithm computes a factorization P AP T = ...
Miroslav Rozlozník, Gil Shklarski, Sivan To...
93
Voted
IPPS
2002
IEEE
15 years 5 months ago
A Parallel Two-Level Hybrid Method for Diagonal Dominant Tridiagonal Systems
A new method, namely the Parallel Two-Level Hybrid (PTH) method, is developed to solve tridiagonal systems on parallel computers. PTH is designed based on Parallel Diagonal Domina...
Xian-He Sun, Wu Zhang
88
Voted
CDC
2008
IEEE
121views Control Systems» more  CDC 2008»
15 years 7 months ago
Lossless scalar functions: Boundary interpolation, Schur algorithm and Ober's canonical form
Abstract— In [1] a balanced canonical form for continuoustime lossless systems was presented. This form has a tridiagonal dynamical matrix A and the useful property that the corr...
Martine Olivi, Bernard Hanzon, Ralf L. M. Peeters
CGA
2000
15 years 9 days ago
Metamorphosis of Arbitrary Triangular Meshes
Recently, animations with deforming objects have been frequently used in various computer graphics applications. Metamorphosis (or morphing) of three-dimensional objects is one of...
Takashi Kanai, Hiromasa Suzuki, Fumihiko Kimura
95
Voted
CASC
2007
Springer
108views Mathematics» more  CASC 2007»
15 years 6 months ago
Comprehensive Triangular Decomposition
We introduce the concept of comprehensive triangular decomposition (CTD) for a parametric polynomial system F with coefficients in a field. In broad words, this is a finite part...
Changbo Chen, Oleg Golubitsky, François Lem...