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» A fast solver for linear systems with displacement structure
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NA
2010
117views more  NA 2010»
13 years 3 months ago
A fast solver for linear systems with displacement structure
We describe a fast solver for linear systems with reconstructible Cauchylike structure, which requires O(rn2 ) floating point operations and O(rn) memory locations, where n is th...
Antonio Arico, Giuseppe Rodriguez
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...
DAC
2009
ACM
13 years 8 months ago
GPU friendly fast Poisson solver for structured power grid network analysis
In this paper, we propose a novel simulation algorithm for large scale structured power grid networks. The new method formulates the traditional linear system as a special two-dim...
Jin Shi, Yici Cai, Wenting Hou, Liwei Ma, Sheldon ...
DAC
2009
ACM
14 years 5 months ago
A direct integral-equation solver of linear complexity for large-scale 3D capacitance and impedance extraction
State-of-the-art integral-equation-based solvers rely on techniques that can perform a matrix-vector multiplication in O(N) complexity. In this work, a fast inverse of linear comp...
Wenwen Chai, Dan Jiao, Cheng-Kok Koh
TCS
2008
13 years 4 months ago
Solving structured linear systems with large displacement rank
Alin Bostan, Claude-Pierre Jeannerod, Éric ...