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» On Chebyshev Polynomials of Matrices
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FSTTCS
2009
Springer
14 years 1 months ago
Arithmetic Circuits and the Hadamard Product of Polynomials
Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also...
Vikraman Arvind, Pushkar S. Joglekar, Srikanth Sri...
APPML
2006
71views more  APPML 2006»
13 years 7 months ago
The polynomial solution to the Sylvester matrix equation
For when the Sylvester matrix equation has a unique solution, this work provides a closed form solution, which is expressed as a polynomial of known matrices. In the case of non-u...
Qingxi Hu, Daizhan Cheng
ICCAD
2003
IEEE
141views Hardware» more  ICCAD 2003»
14 years 4 months ago
Passive Synthesis of Compact Frequency-Dependent Interconnect Models via Quadrature Spectral Rules
In this paper, we present a reduced order inodeling methodology, based on the utilization of optimal non-uniform grids generated by Gaussian spectral rules, for the direct passive...
Traianos Yioultsis, Anne Woo, Andreas C. Cangellar...
APPML
2004
125views more  APPML 2004»
13 years 7 months ago
A note on the controllability of higher-order linear systems
In this paper, a new condition for the controllability of higher order linear dynamical systems is obtained. The suggested test contains rank conditions of suitably defined matric...
Gregory Kalogeropoulos, Panayiotis Psarrakos
HYBRID
2007
Springer
14 years 1 months ago
Approximation of the Joint Spectral Radius of a Set of Matrices Using Sum of Squares
We provide an asymptotically tight, computationally efficient approximation of the joint spectral radius of a set of matrices using sum of squares (SOS) programming. The approach i...
Pablo A. Parrilo, Ali Jadbabaie