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SODA
2010
ACM
163views Algorithms» more  SODA 2010»
14 years 5 months ago
Geometric optimization and sums of algebraic functions
We present a new optimization technique that yields the first FPTAS for several geometric problems. These problems reduce to optimizing a sum of non-negative, constant description...
Antoine Vigneron
FOCM
2006
63views more  FOCM 2006»
13 years 7 months ago
On an Isospectral Lie-Poisson System and Its Lie Algebra
In this paper we analyse the matrix differential system X = [N, X2 ], where N is skew-symmetric and X(0) is symmetric. We prove that it is isospectral and that it is endowed with ...
Anthony M. Bloch, Arieh Iserles
PPAM
2007
Springer
14 years 1 months ago
New Data Structures for Matrices and Specialized Inner Kernels: Low Overhead for High Performance
Dense linear algebra codes are often expressed and coded in terms of BLAS calls. This approach, however, achieves suboptimal performance due to the overheads associated to such cal...
José R. Herrero
DATE
2007
IEEE
114views Hardware» more  DATE 2007»
14 years 2 months ago
Fast positive-real balanced truncation of symmetric systems using cross Riccati equations
We present a computationally efficient implementation of positive-real balanced truncation (PRBT) for symmetric multiple-input multiple-output (MIMO) systems. The solution of a p...
Ngai Wong
CORR
2006
Springer
90views Education» more  CORR 2006»
13 years 7 months ago
Symmetric Subresultants and Applications
Schur's transforms of a polynomial are used to count its roots in the unit disk. These are generalized them by introducing the sequence of symmetric sub-resultants of two pol...
Cyril Brunie, Philippe Saux Picart