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» The polynomial solution to the Sylvester matrix equation
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APPML
2006
71views more  APPML 2006»
13 years 4 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
EUROPAR
2003
Springer
13 years 10 months ago
Parallel ScaLAPACK-Style Algorithms for Solving Continuous-Time Sylvester Matrix Equations
An implementation of a parallel ScaLAPACK-style solver for the general Sylvester equation, op(A)X −Xop(B) = C, where op(A) denotes A or its transpose AT , is presented. The paral...
Robert Granat, Bo Kågström, Peter Porom...
QEST
2006
IEEE
13 years 10 months ago
Exploring correctness and accuracy of solutions to matrix polynomial equations in queues
Spectral expansion and matrix analytic methods are important solution mechanisms for matrix polynomial equations. These equations are encountered in the steady-state analysis of M...
David Thornley, Harf Zatschler
ADCM
1998
132views more  ADCM 1998»
13 years 4 months ago
Numerical solution of generalized Lyapunov equations
Two e cient methods for solving generalized Lyapunov equations and their implementations in FORTRAN 77 are presented. The rst one is a generalization of the Bartels{Stewart method...
Thilo Penzl
INFORMATICALT
2010
99views more  INFORMATICALT 2010»
13 years 3 months ago
Security Analysis of Asymmetric Cipher Protocol Based on Matrix Decomposition Problem
The asymmetric cipher protocol, based on decomposition problem in matrix semiring M over semiring of natural numbers N is presented. The security of presented cipher protocol is ba...
Andrius Raulynaitis, Eligijus Sakalauskas, Saulius...