Götz Alefeld

According to our database, Götz Alefeld authored at least 40 papers between 1968 and 2012.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2012

Editorial.

Nathalie Revol, Götz Alefeld

Computing, 2012

2011

Bounding the error for approximate solutions of almost linear complementarity problems using feasible vectors.

Götz Alefeld, Zhengyu Wang

Numer. Linear Algebra Appl., 2011

Error Bounds for Nonlinear Complementarity Problems with Band Structure.

Götz Alefeld, Zhengyu Wang

J. Optim. Theory Appl., 2011

2008

New Criteria for the Feasibility of the Cholesky Method with Interval Data.

Götz Alefeld, Günter Mayer

SIAM J. Matrix Anal. Appl., 2008

A regularized projection method for complementarity problems with non-Lipschitzian functions.

Götz Alefeld, Xiaojun Chen

Math. Comput., 2008

Error bounds for complementarity problems with tridiagonal nonlinear functions.

Götz Alefeld, Zhengyu Wang

Computing, 2008

2005

Enclosing Solutions of Singular Interval Systems Iteratively.

Götz Alefeld, Günter Mayer

Reliab. Comput., 2005

Verification of Solutions for Almost Linear Complementarity Problems.

Götz Alefeld, Zhengyu Wang

Proceedings of the Algebraic and Numerical Algorithms and Computer-assisted Proofs, 2005

2004

Enclosing Solutions of Linear Complementarity Problems for H-Matrices.

Götz Alefeld, Zhengyu Wang, Shen Zuhe

Reliab. Comput., 2004

2003

Iterative Methods for Linear Complementarity Problems with Interval Data.

Götz Alefeld, Uwe Schäfer

Computing, 2003

On Singular Interval Systems.

Götz Alefeld, Günter Mayer

Proceedings of the Numerical Software with Result Verification, 2003

2002

Numerical validation of solutions of complementarity The nonlinear case.

Götz Alefeld, Xiaojun Chen, Florian A. Potra

Numerische Mathematik, 2002

Parallele numerische Verfahren.

Götz Alefeld, Ingrid Lenhardt, Holger Obermaier

Springer, ISBN: 978-3-540-42519-9, 2002

2001

A Comment on the Shape of the Solution Set for Systems of Interval Linear Equations with Dependent Coefficients.

Götz Alefeld, Vladik Kreinovich, Günter Mayer, Michael Huth

Reliab. Comput., 2001

Introduction: Symbolic Algebraic Methods and Verification Methods.

Götz Alefeld, Jiri Rohn, Siegfried M. Rump, Tetsuro Yamamoto

Proceedings of the Symbolic Algebraic Methods and Verification Methods, 2001

Modifications of the Oettli-Prager Theorem with Application to the Eigenvalue Problem.

Götz Alefeld, Vladik Kreinovich, Günter Mayer

Proceedings of the Symbolic Algebraic Methods and Verification Methods, 2001

1999

Numerical validation of solutions of linear complementarity problems.

Götz Alefeld, Xiaojun Chen, Florian A. Potra

Numerische Mathematik, 1999

1997

On the Shape of the Symmetric, Persymmetric, and Skew-Symmetric Solution Set.

Götz Alefeld, Vladik Kreinovich, Günter Mayer

SIAM J. Matrix Anal. Appl., July, 1997

1996

Preface.

Götz Alefeld, Andreas Frommer, Bruno Lang

Reliab. Comput., 1996

1995

Algorithm 748: Enclosing Zeros of Continuous Functions.

Götz Alefeld, Florian A. Potra, Yixun Shi

ACM Trans. Math. Softw., 1995

On the Symmetric and Unsymmetric Solution Set of Interval Systems.

Götz Alefeld, Günter Mayer

SIAM J. Matrix Anal. Appl., 1995

1994

Numerical validation for an inverse matrix eigenvalue problem.

Götz Alefeld, A. Gienger, Günter Mayer

Computing, 1994

1991

Über das Divergenzverhalten des Intervall-Newton-Verfahrens.

Götz Alefeld

Computing, 1991

1990

On the approximation of the range of values by interval expressions.

Götz Alefeld

Computing, 1990

Enclosure Methods.

Götz Alefeld

Proceedings of the Computer Arithmetic and Self-Validating Numerical Methods, 1990

1989

A new class of interval methods with higher order of convergence.

Götz Alefeld, Florian A. Potra

Computing, 1989

1987

Über die Konvergenzordnung des Intervall-Newton-Verfahrens.

Götz Alefeld

Computing, 1987

1986

Iterative improvement of componentwise errorbounds for invariant subspaces belonging to a double or nearly double eigenvalue.

Götz Alefeld, Herbert Spreuer

Computing, 1986

1985

On higher order centered forms.

Götz Alefeld, Rudolf Lohner

Computing, 1985

1984

The centered form and the mean value form - a necessary condition that they yield the range.

Götz Alefeld

Computing, 1984

1981

Bounding the slope of polynomial operators and some applications.

Götz Alefeld

Computing, 1981

1979

Zur Konvergenz des Iterationsverfahrens bei linearen Gleichungssystemen.

Götz Alefeld

Computing, 1979

1977

Das symmetrische Einzelschrittverfahren bei linearen Gleichungen mit Intervallen als Koeffizienten.

Götz Alefeld

Computing, 1977

Zur iterativen Einschließung von positiven Inversen.

Götz Alefeld

Computing, 1977

1974

Stets konvergente Verfahren höherer Ordnung zur Berechnung von reellen Nullstellen.

Götz Alefeld

Computing, 1974

1973

Zur Konvergenz des Verfahrens der Tangierenden Hyperbeln und des Tschebyscheff-Verfahrens bei konvexen Abbildungen.

Götz Alefeld

Computing, 1973

1970

Über die Berechnung der inversen Matrix mit Hilfe der Intervallrechnung.

Götz Alefeld, Jürgen Herzberger

Elektron. Rechenanlagen, 1970

ALGOL-60 Algorithmen zur Auflösung linearer Gleichungssysteme mit Fehlererfassung.

Götz Alefeld, Jürgen Herzberger

Computing, 1970

Über die aus monoton zerlegbaren Operatoren gebildeten Iterationsverfahren.

Götz Alefeld

Computing, 1970

1968

Über die asymptotische Konvergenzgeschwindigkeit des allgemeinen Relaxationsverfahrens bei nichtnegativen Matrizen.

Götz Alefeld

Computing, 1968