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» Structured matrix methods for polynomial root-finding
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GLVLSI
2008
IEEE
129views VLSI» more  GLVLSI 2008»
14 years 3 months ago
Variational capacitance modeling using orthogonal polynomial method
In this paper, we propose a novel statistical capacitance extraction method for interconnects considering process variations. The new method, called statCap, is based on the spect...
Jian Cui, Gengsheng Chen, Ruijing Shen, Sheldon X....
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 8 months ago
Polynomial Linear Programming with Gaussian Belief Propagation
Abstract--Interior-point methods are state-of-the-art algorithms for solving linear programming (LP) problems with polynomial complexity. Specifically, the Karmarkar algorithm typi...
Danny Bickson, Yoav Tock, Ori Shental, Danny Dolev
ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
14 years 21 days ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
CORR
2011
Springer
261views Education» more  CORR 2011»
13 years 3 months ago
Convex and Network Flow Optimization for Structured Sparsity
We consider a class of learning problems regularized by a structured sparsity-inducing norm defined as the sum of 2- or ∞-norms over groups of variables. Whereas much effort ha...
Julien Mairal, Rodolphe Jenatton, Guillaume Obozin...
SIAMSC
2010
136views more  SIAMSC 2010»
13 years 3 months ago
A Krylov Method for the Delay Eigenvalue Problem
Abstract. The Arnoldi method is currently a very popular algorithm to solve large-scale eigenvalue problems. The main goal of this paper is to generalize the Arnoldi method to the ...
Elias Jarlebring, Karl Meerbergen, Wim Michiels