Preprints:

K. Neymeyr, M. Zhou
Convergence analysis of gradient iterations for the symmetric eigenvalue problem
Submitted 2010, (223 kB PDF file)

C. Kubis, R. Ludwig, M. Sawall, K. Neymeyr, A. Boerner, K.-D. Wiese, D. Hess, R. Franke, D. Selent
A Comparative In Situ HP-FTIR Spectroscopic Study of Bi- and Monodentate Phosphite-Modified Hydroformylation
 Accepted for ChemCatChem 2009.
Published online 2010 / ChemCatChem

Journal Articles:

K. Neymeyr, M. Sawall and D. Hess
Pure component spectral recovery and constrained matrix factorizations: Concepts and applications
Journal of Chemometrics 24 (2010), 67--74.
 (276 kB PDF file)

A. Knyazev and K. Neymeyr,
Gradient flow approach to geometric convergence analysis of preconditioned eigensolvers
SIAM J. Matrix Analysis 31 (2009), 621--628.
 (279 kB PDF file)

K. Neymeyr,
On preconditioned eigensolvers and Invert-Lanczos processes
Linear Algebra Appl. 430 (2009), 1039--1056.
 (245 kB PDF file)

K. Neymeyr,
A geometric theory for preconditioned inverse iteration: IV: On the fastest convergence cases
Linear Algebra Appl. 415 (2006), 114--139.
 (457 kB PDF file)

K. Neymeyr,
A note on inverse iteration.
 Numer. Linear Algebra Appl. 12 (2005), 1-8.
 (156 kB PDF file)

A.V. Knyazev and K. Neymeyr,
Efficient solution of symmetric eigenvalue problems using multigrid preconditioners in the locally optimal block preconditioned gradient method,
 Electron. Trans. Numer. Anal. 15 (2003), 38--55.
 (222 kB PDF file)

A.V. Knyazev and K. Neymeyr,
A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems,
 Linear Algebra Appl. 358 (2003), 95--114.
 (275 kB PDF file/Preprint)

K. Neymeyr,
A geometric theory for preconditioned inverse iteration applied to a subspace,
 Math. Comp. 71 (2002), 197-216.
 (268 kB PDF file/Preprint)

R. Hiptmair and K. Neymeyr,
Multilevel Method for Mixed Eigenproblems,
 SIAM J. Sci. Comp. 23(6) (2002), 2141-2164.
 (564 kB PDF file/Preprint)

K. Neymeyr,
A posteriori error estimation for elliptic eigenproblems,
 Numer. Linear Algebra Appl. 9 (2002), 263-279.
 (453 kB PDF file/Preprint)

K. Neymeyr,
A geometric theory for preconditioned inverse iteration, I:Extrema of the Rayleigh quotient,
 Linear Algebra Appl. 332 (2001), 61-85.
 (220 kB PDF file/Preprint)

This paper has been identified by ISI Essential Science Indicators as a highly cited paper
in Mathematics in November 2003: Fast Moving Fronts
Interview by ESI Special Topics concerning this paper: Interview

K. Neymeyr,
A geometric theory for preconditioned inverse iteration, II:Convergence estimates,
 Linear Algebra Appl. 332 (2001), 87-104.
(164 kB PDF file/Preprint)

K. Neymeyr and F.F. Seelig,
Neglect of Diatomic Differential Overlap in non-empirical quantum chemical orbital theories.
I. On the justification of the Neglect of Diatomic Differential Overlap approximation.
 Int. J. Quantum Chem. 53 (1995), 515-518.
 (2.7 MB PDF all NDDO papers)

K. Neymeyr and F.F. Seelig,
Neglect of Diatomic Differential Overlap in non-empirical quantum chemical orbital theories.
II. A polynomial expansion for $\Delta^{-1/2}$ in terms of Legendre and Chebyshev polynomials.
Int. J. Quantum Chem. 53 (1995), 519-535.
 (2.7 MB PDF all NDDO papers)

K. Neymeyr and K. Engel,
Neglect of Diatomic Differential Overlap in non-empirical quantum chemical orbital theories.
III. On the spectrum of the overlap matrix for diatomic molecules over locally orthogonalized basis functions.
 Int. J. Quantum Chem. 53 (1995), 537-540.
 (2.7 MB PDF all NDDO papers)

K. Neymeyr,
Neglect of Diatomic Differential Overlap in non-empirical quantum chemical orbital theories.
IV. An examination of the justification of the Neglect of Diatomic Differential Overlap (NDDO) approximation.
 Int. J. Quantum Chem. 53 (1995), 541-552.
 (2.7 MB PDF all NDDO papers)

K. Neymeyr,
Neglect of Diatomic Differential Overlap in non-empirical quantum chemical orbital theories.
V. A calculus of error concerning the justification of the Neglect of Diatomic Differential Overlap (NDDO) approximation.
 Int. J. Quantum Chem. 53 (1995), 553-568.
 (2.7 MB PDF all NDDO papers)

W. Koch, K. Neymeyr, M. Pernpointner, B. Schaper, and K. Strecker,
Simplified non-empirical unrestricted Hartree-Fock approximation (SUHF) for the calculation of electronic ground state properties
of molecules with closed and open valence shells. II. Diatomic molecules.
 Z. Naturforsch. 48a (1993), 834-839.
 (4.1 MB PDF document)

K. Neymeyr and F.F. Seelig,
Determination of unstable limit cycles in chaotic systems by the method of unrestricted harmonic balance.
 Z. Naturforsch. 46a (1991), 499-502.
 (2.90 MB PDF document)


Habilitationsschrift:

K. Neymeyr,
A Hierarchy of Preconditioned Eigensolvers for Elliptic Differential Operators,
 Mathematisches Institut, Universität Tübingen, September 2001,
(1.7 MB gzipped Postscript file)


Proceedings:

K. Neymeyr,
Solving mesh eigenproblems with multigrid efficiency.
 in Numerical Methods for Scientific Computing. Variational problems and applications,
Y. Kuznetsov, P. Neittaanmäki, O. Pironneau (eds.), CIMNE, Barcelona, 2003.
(86 kB PDF file/Preprint)




Technical reports at Sonderforschungsbereich 382:

(SFB 382: Verfahren und Algorithmen zur Simulation physikalischer Prozesse auf Höchstleistungsrechnern)