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» Solving Linear Systems through Nested Dissection
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SIAMSC
2010
142views more  SIAMSC 2010»
13 years 3 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
DAGSTUHL
2006
13 years 6 months ago
Using fast matrix multiplication to solve structured linear systems
Structured linear algebra techniques enable one to deal at once with various types of matrices, with features such as Toeplitz-, Hankel-, Vandermonde- or Cauchy-likeness. Following...
Éric Schost, Alin Bostan, Claude-Pierre Jea...
CORR
2008
Springer
149views Education» more  CORR 2008»
13 years 4 months ago
Gaussian Belief Propagation for Solving Systems of Linear Equations: Theory and Application
The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. In this contribution, we...
Ori Shental, Danny Bickson, Paul H. Siegel, Jack K...
DAC
1997
ACM
13 years 8 months ago
Quadratic Placement Revisited
The “quadratic placement” methodology is rooted in [6] [14] [16] and is reputedly used in many commercial and in-house tools for placement of standard-cell and gate-array desi...
Charles J. Alpert, Tony F. Chan, Dennis J.-H. Huan...
SIAMSC
2010
143views more  SIAMSC 2010»
13 years 3 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