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JAT
2010
51views more  JAT 2010»
13 years 3 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...
FUIN
2007
89views more  FUIN 2007»
13 years 9 months ago
Maurer Computers with Single-Thread Control
We present the development of a theory of stored threads and their execution. The work builds upon Maurer’s theory of computer instructions and the thread algebra of Bergstra et ...
Jan A. Bergstra, C. A. Middelburg
ANTS
2006
Springer
118views Algorithms» more  ANTS 2006»
14 years 21 days ago
Computation of Locally Free Class Groups
We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to prese...
Werner Bley, Robert Boltje
MOC
1998
94views more  MOC 1998»
13 years 8 months ago
Numerical calculation of the multiplicity of a solution to algebraic equations
A method to calculate numerically the multiplicity of a solution to a system of algebraic equations is presented. The method is an application of Zeuthen’s rule which gives the m...
Hidetsune Kobayashi, Hideo Suzuki, Yoshihiko Sakai
LOGCOM
2010
85views more  LOGCOM 2010»
13 years 7 months ago
The Logic of Quasi-MV Algebras
The algebraic theory of quasi-MV algebras, generalisations of MV algebras arising in quantum computation, is by now rather well-developed. Although it is possible to define sever...
Félix Bou, Francesco Paoli, Antonio Ledda, ...