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Avoiding look-ahead in the Lanczos method and Padé approximation

100%

Ayachour E. H.

Applicationes Mathematicae

1999

tom 26

nr 1

33-62

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.

Approximation of fractional positive stable continuous-time linear systems by fractional positive stable discrete-time systems

100%

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2013

tom 23

nr 3

501-506

Fractional positive asymptotically stable continuous-time linear systems are approximated by fractional positive asymptotically stable discrete-time systems using a linear Padé-type approximation. It is shown that the approximation preserves the positivity and asymptotic stability of the systems. An optional system approximation is also discussed.

Ograniczanie wyników

1 Applicationes Mathematicae

1 International Journal of Applied Mathematics and Computer Science

1 Ayachour E. H.

1 Kaczorek T.

1 2013

1 1999

Wyniki wyszukiwania

Avoiding look-ahead in the Lanczos method and Padé approximation

Approximation of fractional positive stable continuous-time linear systems by fractional positive stable discrete-time systems