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Miroslav Kureš, Ladislav Skula (2008)
Annales UMCS, Mathematica
It is proved that generalized polynomials with rational exponents over a commutative field form an elementary divisor ring; an algorithm for computing the Smith normal form is derived and implemented.
Volker Mehrmann, Peter Kunke (1991/1992)
Numerische Mathematik
František Šik (1982)
Aplikace matematiky
In the paper, a method is given for finding all solutions of a system of linear equations with interval coefficients and with additional supposition that these coefficients fulfil a given system of homogeneous linear equations.
Alex Pothen (1987)
Numerische Mathematik
Bueno, M.Isabel, Dopico, Froilán M. (2004)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
D. Bini, G. Lotti (1980/1981)
Numerische Mathematik
Alkarni, S.H. (2001)
International Journal of Mathematics and Mathematical Sciences
Alt, René, Lamotte, Jean-Luc, Markov, Svetoslav (2010)
Serdica Journal of Computing
Stochastic arithmetic has been developed as a model for exact computing with imprecise data. Stochastic arithmetic provides confidence intervals for the numerical results and can be implemented in any existing numerical software by redefining types of the variables and overloading the operators on them. Here some properties of stochastic arithmetic are further investigated and applied to the computation of inner products and the solution to linear systems. Several numerical experiments are performed showing...
Gu, M., Miranian, L. (2004)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Mackey, D.Steven, Mackey, Niloufer, Dunlavy, Daniel M. (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Davies, Philip I. (2004)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Mackey, D.Steven, Mackey, Niloufer, Tisseur, Françoise (2003)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Jan Ježek (1986)
Kybernetika
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