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» Complexity measures of sign matrices
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COMBINATORICA
2007
80views more  COMBINATORICA 2007»
13 years 11 months ago
Complexity measures of sign matrices
Nati Linial, Shahar Mendelson, Gideon Schechtman, ...
CPHYSICS
2011
232views Education» more  CPHYSICS 2011»
13 years 5 months ago
A nested Krylov subspace method to compute the sign function of large complex matrices
We present an acceleration of the well-established Krylov-Ritz methods to compute the sign function of large complex matrices, as needed in lattice QCD simulations involving the o...
Jacques Bloch, Simon Heybrock
COLT
2005
Springer
14 years 4 months ago
Rank, Trace-Norm and Max-Norm
We study the rank, trace-norm and max-norm as complexity measures of matrices, focusing on the problem of fitting a matrix with matrices having low complexity. We present generali...
Nathan Srebro, Adi Shraibman
COMPUTING
2006
130views more  COMPUTING 2006»
13 years 11 months ago
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method. Replacing the usual matrix inversion, addition, and multiplication by format...
Ulrike Baur, Peter Benner
ISCAS
2006
IEEE
147views Hardware» more  ISCAS 2006»
14 years 5 months ago
Triangular systolic array with reduced latency for QR-decomposition of complex matrices
- The novel CORDIC-based architecture of the these weights (combiner unit). The implementation of the Triangular Systolic Array for QRD of large size complex combiner unit is rathe...
Alexander Maltsev, V. Pestretsov, Roman Maslenniko...