Geodesic
Avoiding look-ahead in the Lanczos method and Padé approximation
Applicationes Mathematicae, Tome 26 (1999) no. 1, pp. 33-62.

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In the non-normal case, it is possible to use various look-ahead strategies for computing the elements of a family of regular orthogonal polynomials. These strategies consist in jumping over non-existing and singular orthogonal polynomials by solving triangular linear systems. We show how to avoid them by using a new method called ALA (Avoiding Look-Ahead), for which we give three principal implementations. The application of ALA to Padé approximation, extrapolation methods and Lanczos method for solving systems of linear equations is discussed.
DOI : 10.4064/am-26-1-33-62
Keywords: extrapolation methods, orthogonal and biorthogonal polynomials, Padé approximation, Lanczos method

E. Ayachour 1

1 
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E. Ayachour. Avoiding look-ahead in the Lanczos method and Padé approximation. Applicationes Mathematicae, Tome 26 (1999) no. 1, pp. 33-62. doi : 10.4064/am-26-1-33-62. http://geodesic.mathdoc.fr/articles/10.4064/am-26-1-33-62/

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