Up: ORF2 - A Java Previous:
Some history
- 1
- A. Bultheel. Orthogonal matrix functions related to
the multivariable Nevanlinna-Pick problem. Bull. Soc.
Math. Belg. Sér. B, 32(2):149-170, 1980.
- 2
- A. Bultheel. On a special Laurent-Hermite
interpolation problem. In L. Collatz,
G. Meinardus, and H. Werner, editors, Numerische
Methoden der Approximationstheorie 6, volume 59
of Internat. Ser. of Numer. Math., pages 63-79,
Basel-New York-Berlin, 1981. Birkhäuser Verlag.
- 3
- A. Bultheel and P. Dewilde. Orthogonal
functions related to the Nevanlinna-Pick problem. In
P. Dewilde, editor, Proc. 4th Int. Conf. on
Math. Theory of Networks and Systems at Delft, pages
207-212, North-Hollywood, 1979. Western Periodicals.
- 4
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Orthogonal
rational functions similar to Szego polynomials. In
C. Brezinski, L. Gori, and A. Ronveaux,
editors, Orthogonal Polynomials and their
Applications, volume 9 of IMACS annals on
computing and applied mathematics, pages 195-204,
Basel, 1991. J.C. Baltzer AG.
- 5
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. The computation
of orthogonal rational functions and their interpolating
properties. Numer. Algorithms, 2(1):85-114,
1992.
- 6
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. A Favard
theorem for orthogonal rational functions on the unit
circle. Numer. Algorithms, 3:81-89, 1992.
- 7
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. A moment
problem associated to rational Szego functions. Numer.
Algorithms, 3:91-104, 1992.
- 8
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Orthogonal
rational functions and quadrature on the unit circle. Numer.
Algorithms, 3:105-116, 1992.
- 9
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Moment problems
and orthogonal functions. J. Comput. Appl. Math.,
48:49-68, 1993.
- 10
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Orthogonal
rational functions on the unit circle and the real line.
In P. Dewilde, M.A. Kaashoek, and M. Verhaegen,
editors, Challenges of a Generalized System Theory,
volume 40 of Essays of the Dutch Academy of
Sciences, Sect. Physics, First series, pages
241-252, Amsterdam, 1993. North Holland.
- 11
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Asymptotics for
orthogonal rational functions. Trans. Amer. Math.
Soc., 346:331-340, 1994.
- 12
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Numerical
quadratures on the unit circle: a survey with some new
results. In M. Alfaro, A. Garcia,
C. Jagels, and F. Marcellan, editors, Orthogonal
Polynomials on the Unit Circle: Theory and Applications,
pages 1-20, 1994.
- 13
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Orthogonal
rational functions on the unit circle: theory,
applications and generalizations. In M. Alfaro,
A. Garcia, C. Jagels, and F. Marcellan,
editors, Orthogonal Polynomials on the Unit Circle:
Theory and Applications, pages 21-42, 1994.
- 14
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Quadrature
formulas on the unit circle based on rational functions. J.
Comput. Appl. Math., 50:159-170, 1994.
- 15
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Recurrence
relations for orthogonal functions. In S.C. Cooper and
W.J. Thron, editors, Continued Fractions and
Orthogonal Functions, volume 154 of Lecture
Notes in Pure and Appl. Math., pages 24-46. Marcel
Dekker, 1994.
- 16
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Convergence of
modified approximants associated with orthogonal rational
functions. J. Comput. Appl. Math.,
57(1/2):77-86, 1995.
- 17
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Convergence of
orthogonal rational functions. In R.M. Ali, St.
Ruscheweyh, and E.B. Saff, editors, Computational
Methods and Function Theory (CMFT'94), pages
111-123. World Scientific, 1995.
- 18
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. On the
convergence of multipoint Padé-type approximants and
quadrature formulas associated with the unit circle. Numer.
Algorithms, 13:321-344, 1996.
- 19
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Orthogonal
rational functions and modified approximants. Numer.
Algorithms, 11:57-69, 1996.
- 20
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Orthogonal
rational functions and nested disks. J. Approx.
Theory, 89:344-371, 1997.
- 21
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Orthogonal
rational functions. Cambridge University Press,
1997. (To appear).
- 22
- A. Bultheel, P. González-Vera,
E. Hendriksen, and O. Njåstad. Rates of
convergence of multipoint rational approximants and
quadrature formulas on the unit circle. J. Comput.
Appl. Math., 77:77-102, 1997.
- 23
- P. Dewilde and H. Dym. Schur recursions, error
formulas, and convergence of rational estimators for
stationary stochastic sequences. IEEE Trans. Inf. Th.,
IT-27:446-461, 1981.
- 24
- P. Dewilde and H. Dym. Lossless inverse
scattering, digital filters, and estimation theory. IEEE
Trans. Inf. Th., IT-30:644-662, 1984.
- 25
- M.M. Djrbashian. Expansions in systems of rational
functions on a circle with a given set of poles. Doklady
Akademii Nauk SSSR, 143:17-20, 1962. (In Russian.
Translation in Soviet Mathematics Doklady, vol. 3,
315-319, 1962).
- 26
- M.M. Djrbashian. Orthogonal systems of rational functions
on the unit circle with given set of poles. Doklady
Akademii Nauk SSSR, 147:1278-1281, 1962. (In
Russian. Translation in Soviet Mathematics Doklady,
vol. 3, 1794-1798, 1962).
- 27
- M.M. Djrbashian. Orthogonal systems of rational functions
on the circle. Izv. Akad. Nauk Armyan. SSR,
1:3-24, 1966. (In Russian).
- 28
- M.M. Djrbashian. Orthogonal systems of rational functions
on the unit circle. Izv. Akad. Nauk Armyan. SSR,
1:106-125, 1966. (In Russian).
- 29
- M.M. Djrbashian. Expansions by systems of rational
functions with fixed poles. Izv. Akad. Nauk Armyan.
SSR, 2:3-51, 1967. (In Russian).
- 30
- M.M. Djrbashian. A survey on the theory of orthogonal
systems and some open problems. In P. Nevai, editor,
Orthogonal polynomials: Theory and practice,
volume 294 of Series C: Mathematical and Physical
Sciences, pages 135-146, Boston, 1990. NATO-ASI,
Kluwer Academic Publishers.
- 31
- K. Müller and A. Bultheel. Translation of the
Russian paper ``Orthogonal systems of rational functions
on the unit circle'' by M.M.Djrbashian. Technical Report
TW253, Department of Computer Science, K.U. Leuven,
February 1997.
Karsten
Mueller
Thu Oct 23 18:23:56 METDST 1997