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AUTOMATICA
2011
12 years 8 months ago
A hierarchy of LMI inner approximations of the set of stable polynomials
Exploiting spectral properties of symmetric banded Toeplitz matrices, we describe simple sufficient conditions for positivity of a trigonometric polynomial formulated as linear ma...
Mustapha Ait Rami, Didier Henrion
NA
2010
74views more  NA 2010»
13 years 2 months ago
Inverse product Toeplitz preconditioners for non-Hermitian Toeplitz systems
In this paper, we first propose product Toeplitz preconditioners (in an inverse form) for non-Hermitian Toeplitz matrices generated by functions with zeros. Our inverse product-ty...
Fu-Rong Lin, Michael K. Ng
CC
2002
Springer
126views System Software» more  CC 2002»
13 years 4 months ago
On the hardness of approximating the permanent of structured matrices
We show that for several natural classes of "structured" matrices, including symmetric, circulant, Hankel and Toeplitz matrices, approximating the permanent modulo a prim...
Bruno Codenotti, Igor Shparlinski, Arne Winterhof