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Literatur

1
H. H. H. Homeier.
Integraltransformationsmethoden und Quadraturverfahren für Molekülintegrale mit B-Funktionen, volume 121 of Theorie und Forschung.
S. Roderer Verlag, Regensburg, 1990.
Also: Doctoral dissertation, Universität Regensburg.
URL: http://www.uni-regensburg.de/Fakultaeten/nat_Fak_IV/Theoretische_Chemie/Homeier/preprint/preprint.html#Homeier90.

2
H. H. H. Homeier.
Effects of local field variations on the contrast of a field-ion microscope.
Certificate of postgraduate study dissertation, Cambridge University (Great Britain), 1982.

3
H. H. H. Homeier.
Effektive Feldtheorie für das unterste Landau-Niveau in einem dreidimensionalen Zufallspotential.
Diploma thesis, Universität Heidelberg, 1986.

4
H. H. H. Homeier.
Extrapolationsverfahren für Zahlen-, Vektor- und Matrizenfolgen und ihre Anwendung in der Theoretischen und Physikalischen Chemie.
Habilitation thesis (in German), Universität Regensburg, 1996.

URL: http://www.uni-regensburg.de/Fakultaeten/nat_Fak_IV/Theoretische_Chemie/Homeier/preprint/preprint.html#Homeier96Hab.

5
H. H. H. Homeier.
Scalar Levin-type sequence transformations.
J. Comput. Appl. Math., 122(1-2):81-147, 2000.
Invited review for J. Comp. Appl. Math, Numerical Analysis 2000 Vol. II: Interpolation and extrapolation, C. Brezinski (Ed.), see also http://www.elsevier.nl/PII/S0377042700003599, Preprint math.NA/0005209 at http://xxx.lanl.gov.

6
H. H. H. Homeier and D. R. Kingham.
Effects of local field variations on the contrast of a field-ion microscope.
J. Phys. D, 16:L115-L120, 1983.

7
D. R. Kingham, H. H. H. Homeier, and C. M. C. de Castilho.
Resolution and contrast of a field ion microscope.
Surf. Sci., 152/153:55-61, 1985.

8
H. H. H. Homeier and E. O. Steinborn.
Numerical integration of functions with a sharp peak at or near one boundary using Möbius transformations.
J. Comput. Phys., 87:61-72, 1990.

9
E. O. Steinborn and H. H. H. Homeier.
Möbius-type quadrature of electron repulsion integrals with B functions.
Int. J. Quantum Chem. Symp., 24:349-363, 1990.

10
H. H. H. Homeier and E. O. Steinborn.
Improved quadrature methods for three-center nuclear attraction integrals with exponential-type basis functions.
Int. J. Quantum Chem., 39:625-645, 1991.

11
H. H. H. Homeier and E. O. Steinborn.
Improved quadrature methods for the Fourier transform of a two-center product of exponential-type basis functions.
Int. J. Quantum Chem., 41:399-411, 1992.

12
H. H. H. Homeier and E. O. Steinborn.
On the evaluation of overlap integrals with exponential-type basis functions.
Int. J. Quantum Chem., 42:761-778, 1992.

13
V. IV. Maslov, A. W. Niukkanen, H. H. H. Homeier, and E. O. Steinborn.
On the combination of two methods for the calculation of multicenter integrals using STO and B function basis sets.
Int. J. Quantum Chem., 44:45-57, 1992.

14
H. H. H. Homeier, E. J. Weniger, and E. O. Steinborn.
Programs for the evaluation of overlap integrals with B functions.
Comput. Phys. Commun., 72:269-287, 1992.
Computer Physics Communications Program Library, Catalogue number: ACJU.

15
E. O. Steinborn, H. H. H. Homeier, and E. J. Weniger.
Recent progress on representations for Coulomb integrals of exponential-type orbitals.
J. Mol. Struct. (Theochem), 260:207-221, 1992.

16
H. H. H. Homeier, E. J. Weniger, and E. O. Steinborn.
Simplified derivation of a one-range addition theorem of the Yukawa potential.
Int. J. Quantum Chem., 44:405-411, 1992.

17
H. H. H. Homeier.
A Levin-type algorithm for accelerating the convergence of Fourier series.
Numer. Algo., 3:245-254, 1992.

18
H. H. H. Homeier and E. O. Steinborn.
Programs for the evaluation of nuclear attraction integrals with B functions.
Comput. Phys. Commun., 77:135-151, 1993.
Computer Physics Communications Program Library, Catalogue number: ACNV.

19
H. H. H. Homeier.
Some applications of nonlinear convergence accelerators.
Int. J. Quantum Chem., 45:545-562, 1993.

20
H. H. H. Homeier.
A hierarchically consistent, iterative sequence transformation.
Numer. Algo., 8:47-81, 1994.

21
IV. Maslov, H. H. H. Homeier, and E. O. Steinborn.
Calculation of multicenter electron repulsion integrals in Slater-type basis sets using the Sigma-separation method.
Int. J. Quantum Chem., 55(1):9-22, 1995.

22
H. H. H. Homeier and E. J. Weniger.
On remainder estimates for Levin-type sequence transformations.
Comput. Phys. Commun., 92:1-10, 1995.

23
H. H. H. Homeier, S. Rast, and H. Krienke.
Iterative solution of the Ornstein-Zernike equation with various closures using vector extrapolation.
Comput. Phys. Commun., 92:188-202, 1995.

24
H. H. H. Homeier.
Determinantal representations for the J transformation.
Numer. Math., 71(3):275-288, 1995.

25
H. H. H. Homeier.
Analytical and numerical studies of the convergence behavior of the J transformation.
J. Comput. Appl. Math., 69:81-112, 1996.

26
H. H. H. Homeier and E. O. Steinborn.
Comment on: A Gaussian quadrature for the optimal evaluation of integrals involving Lorentzians over a semi-infinite interval.
Comput. Phys. Commun., 99(1):77-80, 1996.

27
H. H. H. Homeier and E. O. Steinborn.
Some properties of the coupling coefficients of real spherical harmonics and their relation to Gaunt coefficients.
J. Mol. Struct. (Theochem), 368:31-37, 1996.
Proceedings of the 2nd Electronic Computational Chemistry Conference.

28
H. H. H. Homeier.
Correlation energy estimators based on Møller-Plesset perturbation theory.
J. Mol. Struct. (Theochem), 366:161-171, 1996.

29
H. H. H. Homeier.
On convergence acceleration for the iterative solution of the inverse Dyson equation.
J. Mol. Struct. (Theochem), 368:81-91, 1996.
Proceedings of the 2nd Electronic Computational Chemistry Conference.

30
H. H. H. Homeier.
The size-extensivity of correlation energy estimators based on effective characteristic polynomials.
J. Mol. Struct. (Theochem), 419:29-31, 1997.
Proceedings of the 3rd Electronic Computational Chemistry Conference.

31
H. H. H. Homeier.
On convergence acceleration of multipolar and orthogonal expansions.
Internet Journal of Chemistry, 1(Article 28):URL: http://www.ijc.com/articles/1998v1/28/, 1998.
Online computer file. Proceedings of the 4th Electronic Computational Chemistry Conference.

32
H. H. H. Homeier.
On the stability of the J transformation.
Numer. Algo., 17:223-239, 1998.

33
H. H. H. Homeier.
An asymptotically hierarchy-consistent iterative sequence transformation for convergence acceleration of Fourier series.
Numer. Algo., 18:1-30, 1998.

34
H. H. H. Homeier.
Transforming logarithmic to linear convergence by interpolation.
Appl. Math. Lett., 12:13-17, 1999.

35
H. H. H. Homeier.
Convergence acceleration of logarithmically convergent series avoiding summation.
Appl. Math. Lett., 12:29-32, 1999.

36
E. O. Steinborn, H. H. H. Homeier, J. Fernández Rico, I. Ema, R. López, and G. Ramírez.
An improved program for molecular calculations with B functions.
J. Mol. Struct. (Theochem), 490:201-217, 1999.

37
E. O. Steinborn, H. H. H. Homeier, I. Ema, R. López, and G. Ramírez.
Molecular calculations with B functions.
Int. J. Quantum Chem., 76(2):244-251, 2000.

38
H. H. H. Homeier and M. D. Neef.
Performance of the effective-characteristic-polynomial Pi2 method for diatomic molecules: Basis-set dependencies and vibrational levels.
Internet J. Chem., 3(Article 5):no pp. given, 2000.
Online computer file: URL: http://www.ijc.com/articles/2000v3/5/. Proceedings of the 5th Electronic Computational Chemistry Conference.

39
H. H. H. Homeier, J. Strasser, and H. Yersin.
Spin-lattice relaxation in metal-organic platinum(II) complexes.
Chem. Phys. Lett., 316(3-4):280-284, 2000.

40
Johann Strasser, Herbert H. H. Homeier, and Hartmut Yersin.
Triplet sublevels of metal organic compounds - temperature dependence of spin-lattice relaxation.
Chem. Phys., 255:301-316, 2000.

41
H. H. H. Homeier.
On the extrapolation of perturbation series.
Acta Appl. Math., 61(1/3):133-147, 2000.
Proceedings of the International Conference on Rational Approximation (ICRA99), Antwerpen, Belgium, 1999, A. Cuyt (Ed.).

42
H. H. H. Homeier.
A modified Newton method for root finding with cubic convergence.
J. Comput. Appl. Math., 157:227-230, 2003.

43
T. M. Feil and H. H. H. Homeier.
Programs for the approximation of real and imaginary single- and multi-valued functions by means of Hermite-Padé-approximants.
Comput. Phys. Commun., 158:124-135, 2004.
Computer Physics Communications Program Library, Catalogue number: ADSO.

44
H. H. H. Homeier.
A modified Newton method with cubic convergence: The multivariate case.
J. Comput. Appl. Math., 169:161-169, 2004.
http://dx.doi.org/10.1016/j.cam.2003.12.041.

45
H. H. H. Homeier.
On Newton-type methods with cubic convergence.
J. Comput. Appl. Math., 176:425-432, 2005.

46
H. H. H. Homeier.
On Newton-type methods for multiple roots with cubic convergence.
J. Comput. Appl. Math., 231:249-254, 2009.
http://dx.doi.org/10.1016/j.cam.2009.02.006.

47
Andreas F. Rausch, Herbert H. H. Homeier, and Hartmut Yersin.
Organometallic Pt(II) and Ir(III) triplet emitters for OLED applications and the role of spin-orbit coupling: A study based on high-resolution optical spectroscopy.
In A. J. Lees, editor, Photophysics of Organometallics, volume 29 of Topics in Organometallic Chemistry, chapter 6, pages 193-235. Springer, Berlin, 2010.
http://dx.doi.org/10.1007/3418_2009_6, http://dx.doi.org/10.1007/978-3-642-04729-9.

48
Herbert H. H. Homeier.
Series prediction based on algebraic approximants.
ISRN Applied Mathematics, 2011:Article ID 958968, 7 pages, 2011.
http://dx.doi.org/10.5402/2011/958968.

49
H. H. H. Homeier.
Nonlinear convergence acceleration for orthogonal series.
In Ralf Gruber and Marco Tomassini, editors, Proceedings of the 6th Joint EPS-APS International Conference on Physics Computing, Physics Computing '94, pages 47-50. European Physical Society, Boite Postale 69, CH-1213 Petit-Lancy, Genf, Schweiz, 1994.

50
H. H. H. Homeier.
On the computation of functions of matrices.
In S. M. Bachrach, W. Hase, D. B. Boyd, H. S. Rzepa, and S. K. Gray, editors, Proceedings of the First Electronic Computational Chemistry Conference, CD-ROM (ARI-CD 101). ARInternet Corporation, 8201 Corporate Drive Suite 1100, Landover, MD 20785, U.S.A., 1994.
Paper 53.

51
H. H. H. Homeier and B. Dick.
Zur Berechnung der Linienform spektraler Löcher, (Engl.: On the computation of the line shape of spectral holes).
Technical Report TC-PC-95-1, Institut für Physikalische und Theoretische Chemie, Universität Regensburg, D-93040 Regensburg, 1995.
Poster CP 6.15, 59. Physikertagung Berlin 1995, Abstract: Verhandlungen der Deutschen Physikalischen Gesellschaft, Reihe VI, Band 30, 1815, (Physik-Verlag GmbH, D-69469 Weinheim, 1995)
URL: http://www.uni-regensburg.de/Fakultaeten/nat_Fak_IV/Theoretische_Chemie/Homeier/preprint/preprint.html#TC-PC-95-1.

52
H. H. H. Homeier.
Zur Konvergenzverbesserung der Møller-Plesset Störungsreihe (Engl.: On Convergence Acceleration of the Møller-Plesset Perturbation Series).
Technical Report TC-QM-96-2, Institut für Physikalische und Theoretische Chemie, Universität Regensburg, D-93040 Regensburg, 1996.
Poster CP 14.77, Frühjahrstagung des Arbeitskreises Festkörperphysik bei der DPG, Regensburg 1996. Abstract: Verhandlungen der Deutschen Physikalischen Gesellschaft, Reihe VI, Band 31, 2165-2166 (Physik-Verlag GmbH, D-69469 Weinheim, 1996),
URL: http://www.uni-regensburg.de/Fakultaeten/nat_Fak_IV/Theoretische_Chemie/Homeier/preprint/preprint.html#TC-QM-96-2.

53
H. H. H. Homeier.
Mehrreihen-Pi-Verfahren am Beispiel anharmonischer Oszillatoren.
Technical Report TC-QM-97-3, Institut für Physikalische und Theoretische Chemie, Universität Regensburg, D-93040 Regensburg, 1997.
Poster, 33. Symposium für Theoretische Chemie, Köln-Walberberg, Germany,
URL: http://www.uni-regensburg.de/Fakultaeten/nat_Fak_IV/Theoretische_Chemie/Homeier/preprint/preprint.html#TC-QM-97-3.

54
H. H. H. Homeier.
The vector J extrapolation method.
In Junping Wang, Myron B. Allen, III., Benito M. Chen, and Tarek Mathew, editors, Iterative Methods in Scientific Computation, volume 4 of IMACS Series in Computational and Applied Mathematics, pages 375-380. IMACS, Dept. of Computer Science, Rutgers University, New Brunswick, NJ 08903, USA, 1998.
Proceedings of the Third IMACS International Symposium on Iterative Methods in Scientific Computation Jackson Hole, Wyoming, USA-July 9-12, 1997.

55
Andreas F. Rausch, Herbert H. H. Homeier, Peter I. Djurovich, Mark E. Thompson, and Hartmut Yersin.
Spin-orbit coupling routes and OLED performance-studies of blue-light emitting Ir(III) and Pt(II) complexes.
In Zakya H. Kafafi and Franky So, editors, Organic Light Emitting Materials and Devices XI, San Diego, CA, USA, 26 August 2007, volume 6655, page 66550F. Proc. SPIE int. soc. opt. eng., 2007.



Herbert Homeier