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JSC
2006
147views more  JSC 2006»
13 years 7 months ago
An algorithm to solve integer linear systems exactly using numerical methods
In this paper, we present a new algorithm for the exact solutions of linear systems with integer coefficients using numerical methods. It terminates with the correct answer in wel...
Zhendong Wan
DISCO
1993
156views Hardware» more  DISCO 1993»
13 years 11 months ago
Variant Handling, Inheritance and Composition in the ObjectMath Computer Algebra Environment
ObjectMath is a high-level programming environment and modeling language for scientific computing which supports variants and graphical browsing in the environment and integrates o...
Peter Fritzson, Vadim Engelson, Lars Viklund
QEST
2006
IEEE
14 years 1 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
COMPUTING
2006
130views more  COMPUTING 2006»
13 years 7 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
JAT
2010
51views more  JAT 2010»
13 years 2 months ago
Optimal adaptive computations in the Jaffard algebra and localized frames
We study the efficient numerical solution of infinite matrix equations Au = f for a matrix A in the Jaffard algebra. These matrices appear naturally via frame discretizations in m...
Stephan Dahlke, Massimo Fornasier, Karlheinz Gr&ou...