A unified approach to various orthogonalities
Claude Brezinski (1992)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “An intoduction to formal orthogonality and some of its applications.”
A unified approach to various orthogonalities
[unknown]
D. Mangeron, A. M. Krall, D. L. Fernández (1983)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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On A Fourth Order Wronskian Associated With Classical Orthogonal Polynomials
Mrinal Kanti Das (1975)
Publications de l'Institut Mathématique
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On block recursions, Askey's sieved Jacobi polynomials and two related systems
Bernarda Aldana, Jairo Charris, Oriol Mora-Valbuena (1998)
Colloquium Mathematicae
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Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.
Orthogonal polynomials on the radial rays and an electrostatic interpretation of zeros.
Milovanović, Gradimir V. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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On certain polynomials associated with orthogonal polynomials.
David Dickinson (1958)
Bollettino dell'Unione Matematica Italiana
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Turán inequalities for symmetric orthogonal polynomials.
Bustoz, Joaquin, Ismail, Mourad E.H. (1997)
International Journal of Mathematics and Mathematical Sciences
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Avoiding look-ahead in the Lanczos method and Padé approximation
E. Ayachour (1999)
Applicationes Mathematicae
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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...