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ORCIDGötz Alefeld
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- affiliation: Karlsruhe Institute of Technology, Germany
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Books and Theses
- 2002
[b1]Götz Alefeld, Ingrid Lenhardt, Holger Obermaier:
Parallele numerische Verfahren. Springer 2002, ISBN 978-3-540-42519-9, pp. I-XII, 1-248
Journal Articles
- 2012
- [j34]Nathalie Revol, Götz Alefeld:
Editorial. Computing 94(2-4): 95 (2012) - 2011
- [j33]Götz Alefeld, Zhengyu Wang:
Error Bounds for Nonlinear Complementarity Problems with Band Structure. J. Optim. Theory Appl. 150(1): 33-51 (2011) - [j32]Götz Alefeld, Zhengyu Wang:
Bounding the error for approximate solutions of almost linear complementarity problems using feasible vectors. Numer. Linear Algebra Appl. 18(2): 177-187 (2011) - 2008
- [j31]Götz Alefeld, Zhengyu Wang:
Error bounds for complementarity problems with tridiagonal nonlinear functions. Computing 83(4): 175-192 (2008) - [j30]Götz Alefeld, Xiaojun Chen
:
A regularized projection method for complementarity problems with non-Lipschitzian functions. Math. Comput. 77(261): 379-395 (2008) - [j29]Götz Alefeld, Günter Mayer:
New Criteria for the Feasibility of the Cholesky Method with Interval Data. SIAM J. Matrix Anal. Appl. 30(4): 1392-1405 (2008) - 2005
- [j28]Götz Alefeld, Günter Mayer:
Enclosing Solutions of Singular Interval Systems Iteratively. Reliab. Comput. 11(3): 165-190 (2005) - 2004
- [j27]Götz Alefeld, Zhengyu Wang, Shen Zuhe:
Enclosing Solutions of Linear Complementarity Problems for H-Matrices. Reliab. Comput. 10(6): 423-435 (2004) - 2003
- [j26]Götz Alefeld, Uwe Schäfer:
Iterative Methods for Linear Complementarity Problems with Interval Data. Computing 70(3): 235-259 (2003) - 2002
- [j25]Götz Alefeld, Xiaojun Chen, Florian A. Potra:
Numerical validation of solutions of complementarity The nonlinear case. Numerische Mathematik 92(1): 1-16 (2002) - 2001
- [j24]Götz Alefeld, Vladik Kreinovich, Günter Mayer, Michael Huth:
A Comment on the Shape of the Solution Set for Systems of Interval Linear Equations with Dependent Coefficients. Reliab. Comput. 7(3): 275-277 (2001) - 1999
- [j23]Götz Alefeld, Xiaojun Chen, Florian A. Potra:
Numerical validation of solutions of linear complementarity problems. Numerische Mathematik 83(1): 1-23 (1999) - 1997
- [j22]Götz Alefeld, Vladik Kreinovich, Günter Mayer:
On the Shape of the Symmetric, Persymmetric, and Skew-Symmetric Solution Set. SIAM J. Matrix Anal. Appl. 18(3): 693-705 (1997) - 1996
- [j21]Götz Alefeld, Andreas Frommer, Bruno Lang:
Preface. Reliab. Comput. 2(2): i (1996) - 1995
- [j20]Götz Alefeld, Günter Mayer:
On the Symmetric and Unsymmetric Solution Set of Interval Systems. SIAM J. Matrix Anal. Appl. 16(4): 1223-1240 (1995) - [j19]Götz Alefeld, Florian A. Potra, Yixun Shi:
Algorithm 748: Enclosing Zeros of Continuous Functions. ACM Trans. Math. Softw. 21(3): 327-344 (1995) - 1994
- [j18]Götz Alefeld, A. Gienger, Günter Mayer:
Numerical validation for an inverse matrix eigenvalue problem. Computing 53(3-4): 311-322 (1994) - 1991
- [j17]Götz Alefeld:
Über das Divergenzverhalten des Intervall-Newton-Verfahrens. Computing 46(4): 289-294 (1991) - 1990
- [j16]Götz Alefeld:
On the approximation of the range of values by interval expressions. Computing 44(3): 273-278 (1990) - 1989
- [j15]Götz Alefeld, Florian A. Potra:
A new class of interval methods with higher order of convergence. Computing 42(1): 69-80 (1989) - 1987
- [j14]Götz Alefeld:
Über die Konvergenzordnung des Intervall-Newton-Verfahrens. Computing 39(4): 363-369 (1987) - 1986
- [j13]Götz Alefeld, Herbert Spreuer:
Iterative improvement of componentwise errorbounds for invariant subspaces belonging to a double or nearly double eigenvalue. Computing 36(4): 321-334 (1986) - 1985
- [j12]Götz Alefeld, Rudolf Lohner:
On higher order centered forms. Computing 35(2): 177-184 (1985) - 1984
- [j11]Götz Alefeld:
The centered form and the mean value form - a necessary condition that they yield the range. Computing 33(2): 165-169 (1984) - 1981
- [j10]Götz Alefeld:
Bounding the slope of polynomial operators and some applications. Computing 26(3): 227-237 (1981) - 1979
- [j9]Götz Alefeld:
Zur Konvergenz des Iterationsverfahrens bei linearen Gleichungssystemen. Computing 21(3): 267-272 (1979) - 1977
- [j8]Götz Alefeld:
Das symmetrische Einzelschrittverfahren bei linearen Gleichungen mit Intervallen als Koeffizienten. Computing 18(4): 329-340 (1977) - [j7]Götz Alefeld:
Zur iterativen Einschließung von positiven Inversen. Computing 19(2): 171-174 (1977) - 1974
- [j6]Götz Alefeld:
Stets konvergente Verfahren höherer Ordnung zur Berechnung von reellen Nullstellen. Computing 13(1): 55-65 (1974) - 1973
- [j5]Götz Alefeld:
Zur Konvergenz des Verfahrens der Tangierenden Hyperbeln und des Tschebyscheff-Verfahrens bei konvexen Abbildungen. Computing 11(4): 379-390 (1973) - 1970
- [j4]Götz Alefeld, Jürgen Herzberger:
ALGOL-60 Algorithmen zur Auflösung linearer Gleichungssysteme mit Fehlererfassung. Computing 6(1-2): 28-34 (1970) - [j3]Götz Alefeld:
Über die aus monoton zerlegbaren Operatoren gebildeten Iterationsverfahren. Computing 6(1-2): 161-172 (1970) - [j2]Götz Alefeld, Jürgen Herzberger:
Über die Berechnung der inversen Matrix mit Hilfe der Intervallrechnung. Elektron. Rechenanlagen 12(5): 259-261 (1970) - 1968
- [j1]Götz Alefeld:
Über die asymptotische Konvergenzgeschwindigkeit des allgemeinen Relaxationsverfahrens bei nichtnegativen Matrizen. Computing 3(4): 258-267 (1968)
Conference and Workshop Papers
- 2003
- [c1]Götz Alefeld, Günter Mayer:
On Singular Interval Systems. Numerical Software with Result Verification 2003: 191-197
Parts in Books or Collections
- 2001
- [p3]Götz Alefeld, Jiri Rohn, Siegfried M. Rump, Tetsuro Yamamoto:
Introduction: Symbolic Algebraic Methods and Verification Methods. Symbolic Algebraic Methods and Verification Methods 2001: 1-2 - [p2]Götz Alefeld, Vladik Kreinovich, Günter Mayer:
Modifications of the Oettli-Prager Theorem with Application to the Eigenvalue Problem. Symbolic Algebraic Methods and Verification Methods 2001: 11-20 - 1990
- [p1]Götz Alefeld:
Enclosure Methods. Computer Arithmetic and Self-Validating Numerical Methods 1990: 55-72
Editorship
- 2001
- [e1]Götz Alefeld, Jiri Rohn, Siegfried M. Rump, Tetsuro Yamamoto:
Symbolic Algebraic Methods and Verification Methods. Springer 2001, ISBN 3-211-83593-8 [contents]
Informal and Other Publications
- 2005
- [i1]Götz Alefeld, Zhengyu Wang:
Verification of Solutions for Almost Linear Complementarity Problems. Algebraic and Numerical Algorithms and Computer-assisted Proofs 2005
Coauthor Index
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