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SIAMMAX
2010
97views more  SIAMMAX 2010»
14 years 4 months ago
Krylov Subspace Methods for Linear Systems with Tensor Product Structure
The numerical solution of linear systems with certain tensor product structures is considered. Such structures arise, for example, from the finite element discretization of a line...
Daniel Kressner, Christine Tobler
DSN
2005
IEEE
15 years 3 months ago
A Wavefront Parallelisation of CTMC Solution Using MTBDDs
In this paper, we present a parallel implementation for the steady-state analysis of continuous-time Markov chains (CTMCs). This analysis is performed via solution of a linear equ...
Yi Zhang, David Parker, Marta Z. Kwiatkowska
STOC
2007
ACM
132views Algorithms» more  STOC 2007»
15 years 10 months ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
CEC
2007
IEEE
15 years 4 months ago
Finding trade-off solutions close to KKT points using evolutionary multi-objective optimization
— Despite having a wide-spread applicability of evolutionary optimization procedures over the past few decades, EA researchers still face criticism about the theoretical optimali...
Kalyanmoy Deb, Rahul Tewari, Mayur Dixit, Joydeep ...
SIAMSC
2010
143views more  SIAMSC 2010»
14 years 8 months ago
Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromod
Abstract. We present a new algorithm that computes eigenvalues and eigenvectors of a Hermitian positive definite matrix while solving a linear system of equations with Conjugate G...
Andreas Stathopoulos, Konstantinos Orginos