Some remarks on Diophantine approximation by the Jacobi-Perron algorithm
Fritz Schweiger (2008)
Acta Arithmetica
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Fritz Schweiger (2008)
Acta Arithmetica
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Schweiger, Fritz (2010)
Integers
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Christian Drouin (2014)
Journal de Théorie des Nombres de Bordeaux
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A Lagrange Theorem in dimension 2 is proved in this paper, for a particular two dimensional continued fraction algorithm, with a very natural geometrical definition. Dirichlet type properties for the convergence of this algorithm are also proved. These properties proceed from a geometrical quality of the algorithm. The links between all these properties are studied. In relation with this algorithm, some references are given to the works of various authors, in the domain of multidimensional...
Emilio Spedicato, Maria Teresa Vespucci (1993)
Applications of Mathematics
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In this paper we compare the numerical performance on a set of ill conditioned problems of several algorithms for linear systems based upon the explicit QR factorization and the implicit LQ factorization associated with the Huang and the modified Huang algorithms in the ABS class. The results indicate that the modified Huang algorithm is generally more accurate than the Huang algorithm and competitive with commercial codes based upon the QR factorization with Householder of Givens reflections....
A. Opponheim (1971)
Acta Arithmetica
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Hardcastle, D.M. (2002)
Experimental Mathematics
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A. Fdil (1998)
Applicationes Mathematicae
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A new algorithm which generalizes the E-algorithm is presented. It is called the -algorithm. Some results on convergence acceleration for the -algorithm are proved. Some applications are given.
Eugène Dubois, Ahmed Farhane, Roger Paysant-Le Roux (2004)
Acta Arithmetica
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Puchta, Jan-Christoph (2000)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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