Structured eigenvalue problems for rational gauss quadrature

Author:

Fasino Dario,Gemignani Luca

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference32 articles.

1. Bini, D.A., Eidelman, Y., Gemignani, L., Gohberg, I.: Fast QR eigenvalue algorithms for Hessenberg matrices which are rank-one perturbations of unitary matrices. Technical Report 1587, Dipartimento di Matematica, Università di Pisa, 2005. SIAM J. Matrix Anal. Appl. (to appear)

2. Bini, D.A., Gemignani, L., Pan, V.Y.: Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. Numer. Math. 100(3), 373–408 (2005)

3. Boley, D., Golub, G.H.: A survey of matrix inverse eigenvalue problems. Inverse Probl. 3(4), 595–622 (1987)

4. Bultheel, A., González-Vera, P., Hendriksen, E., Njåstad, O.: Orthogonal rational functions. In: Cambridge Monographs on Applied and Computational Mathematics, vol. 5. Cambridge University Press, Cambridge (1999)

5. Bultheel, A., González-Vera, P., Hendriksen, E., Njåstad, O.: Quadrature and orthogonal rational functions. J. Comput. Appl. Math., 127(1–2), 67–91 (2001) (Numerical analysis 2000, vol. V, Quadrature and orthogonal polynomials)

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1. Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle;Symmetry, Integrability and Geometry: Methods and Applications;2017-12-03

2. The existence and construction of rational Gauss-type quadrature rules;Applied Mathematics and Computation;2012-06

3. A matricial computation of rational quadrature formulas on the unit circle;Numerical Algorithms;2008-12-13

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