G. E. Alefeld

From MaRDI portal
Person:1805870

Available identifiers

zbMath Open alefeld.gotz-eWikidataQ1559861 ScholiaQ1559861MaRDI QIDQ1805870

List of research outcomes

PublicationDate of PublicationType
Error bounds and enclosures: The development of numerical analysis and the impact of the contributions by Lothar Collatz2024-03-05Paper
On the optimal solution of interval linear complementarity problems2017-01-25Paper
Bounding the error for approximate solutions of almost linear complementarity problems using feasible vectors2012-06-07Paper
Error bounds for nonlinear complementarity problems with band structure2011-09-06Paper
Verified numerical computation for nonlinear equations2010-02-25Paper
New Criteria for the Feasibility of the Cholesky Method with Interval Data2009-11-06Paper
Error bounds for complementarity problems with tridiagonal nonlinear functions2009-09-09Paper
https://portal.mardi4nfdi.de/entity/Q36321752009-06-23Paper
Error Estimation for Nonlinear Complementarity Problems via Linear Systems with Interval Data2008-06-12Paper
A regularized projection method for complementarity problems with non-Lipschitzian functions2007-11-30Paper
Numerical Software with Result Verification2007-09-28Paper
Enclosing solutions of singular interval systems iteratively2005-08-02Paper
On the existence theorems of Kantorovich, Miranda and Borsuk2005-04-15Paper
Enclosing solutions of linear complementarity problems for H-matrices2005-01-17Paper
Iterative methods for linear complementarity problems with interval data2003-08-21Paper
On the solution sets of particular classes of linear interval systems2003-05-19Paper
https://portal.mardi4nfdi.de/entity/Q44381302003-01-01Paper
Interval analysis: Theory and applications2002-10-23Paper
https://portal.mardi4nfdi.de/entity/Q27656092002-10-09Paper
Numerical validation of solutions of complementarity problems: the nonlinear case2002-09-10Paper
https://portal.mardi4nfdi.de/entity/Q27384762002-06-23Paper
Parallele numerische Verfahren2002-04-12Paper
A comment on the shape of the solution set for systems of interval linear equations with dependent coefficients2002-04-02Paper
https://portal.mardi4nfdi.de/entity/Q27438352001-09-17Paper
https://portal.mardi4nfdi.de/entity/Q27030352001-02-28Paper
https://portal.mardi4nfdi.de/entity/Q49457502000-09-10Paper
Verification Algorithms for Generalized Singular Values2000-07-10Paper
Numerical validation of solutions of linear complementarity problems2000-03-30Paper
ICIAM/GAMM 95 Numerical Analysis, Scientific computing Computer ScienceICIAM/GAMM 95 Numerical Analysis, Scientific computing Computer Science1999-11-08Paper
Modifications of the interval-Newton-method with improved asymptotic efficiency1999-06-16Paper
The Shape of the Solution Set for Systems of Interval Linear Equations with Dependent Coefficients1999-03-04Paper
https://portal.mardi4nfdi.de/entity/Q43505531998-11-01Paper
https://portal.mardi4nfdi.de/entity/Q43582031998-11-01Paper
https://portal.mardi4nfdi.de/entity/Q42090981998-10-14Paper
Nonlinear structural finite element analysis using the preconditioned Lanczos method on serial and parallel computers1998-04-13Paper
Why it is computationally harder to reconstruct the past than to predict the future1998-04-02Paper
Algorithm 748: enclosing zeros of continuous functions1998-01-26Paper
Algorithm 748: enclosing zeros of continuous functions1997-08-06Paper
On multisplitting methods for band matrices1997-06-30Paper
On the Shape of the Symmetric, Persymmetric, and Skew-Symmetric Solution Set1997-06-05Paper
https://portal.mardi4nfdi.de/entity/Q48853611996-10-07Paper
https://portal.mardi4nfdi.de/entity/Q48745141996-07-23Paper
https://portal.mardi4nfdi.de/entity/Q48476951996-02-26Paper
On the Symmetric and Unsymmetric Solution Set of Interval Systems1995-11-29Paper
https://portal.mardi4nfdi.de/entity/Q43215331995-10-15Paper
https://portal.mardi4nfdi.de/entity/Q48516401995-10-11Paper
https://portal.mardi4nfdi.de/entity/Q43068671995-02-28Paper
Numerical validation for an inverse matrix eigenvalue problem1994-12-20Paper
On Enclosing Simple Roots of Nonlinear Equations1994-10-30Paper
The Cholesky method for interval data1994-10-10Paper
Efficient Numerical Validation of Solutions of Nonlinear Systems1994-10-10Paper
https://portal.mardi4nfdi.de/entity/Q43068661994-09-21Paper
Some efficient methods for enclosing simple zeros of nonlinear equations1993-01-16Paper
Über das Divergenzverhalten des Intervall-Newton-Verfahrens. (On the divergence behaviour of the interval-Newton-method)1992-06-26Paper
https://portal.mardi4nfdi.de/entity/Q32107651991-01-01Paper
https://portal.mardi4nfdi.de/entity/Q52035781990-01-01Paper
On the approximation of the range of values by interval expressions1990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q31409561990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33498691990-01-01Paper
A new class of interval methods with higher order of convergence1989-01-01Paper
Berechenbare Fehlerschranken für ein Eigenpaar beim verallgemeinerten Eigenwertproblem1988-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37966401988-01-01Paper
On Two Higher Order Enclosing Methods of J. W. Schmidt1988-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38066861988-01-01Paper
Über die Konvergenzordnung des Intervall-Newton-Verfahrens. (On the order of convergence of the interval-Newton-method)1987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37500321987-01-01Paper
Berechenbare Fehlerschranken für ein Eigenpaar unter Einschluß von Rundungsfehlern bei Verwendung des genauen Skalarprodukts1987-01-01Paper
Iterative improvement of componentwise error bounds of invariant subspaces belonging to a double or nearly double eigenvalue1986-01-01Paper
Componentwise inclusion and exclusion sets for solutions of quadratic equations in finite dimensional spaces1986-01-01Paper
Zur Konvergenz des SSOR-Verfahrens für nichtlineare Gleichungssysteme. (Convergence of the SSOR method for nonlinear systems of simultaneous equations)1986-01-01Paper
Regular splittings and monotone iteration functions1985-01-01Paper
The centered form and the mean value form - a necessary condition that they yield the range1984-01-01Paper
https://portal.mardi4nfdi.de/entity/Q30422791984-01-01Paper
On the Convergence of Some Interval-Arithmetic Modifications of Newton’s Method1984-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33433321984-01-01Paper
On the Convergence of the Higher Order Versions of D. J. Evans' Implicit Matrix Inversion Process1984-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33456901983-01-01Paper
On square roots of M-matrices1982-01-01Paper
On the convergence of the symmetric SOR method for matrices with red- black ordering1982-01-01Paper
Zur Konvergenz eines Verfahrens von D.J. Evans zur iterativen Verbesserung einer Näherung für die inverse Matrix1982-01-01Paper
https://portal.mardi4nfdi.de/entity/Q36729921982-01-01Paper
Bounding the slope of polynomial operators and some applications1981-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39119491981-01-01Paper
On the Evaluation of Rational Functions in Interval Arithmetic1981-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39159261981-01-01Paper
On the Convergence of Halley's Method1981-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38607501980-01-01Paper
Zur Konvergenz des Iterationsverfahrens bei linearen Gleichungssystemen1979-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41915121979-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41488941978-01-01Paper
Das symmetrische Einzelschrittverfahren bei linearen Gleichungen mit Intervallen als Koeffizienten1977-01-01Paper
Zur iterativen Einschließung von positiven Inversen1977-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41348081977-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41348381977-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41402991977-01-01Paper
Zur Konvergenz des symmetrischen Relaxationsverfahrens1976-01-01Paper
Zur Konvergenz des Peaceman-Rachford-Verfahrens1976-01-01Paper
Über konvergente Zerlegungen bei nichtlinearen Abbildungen1976-01-01Paper
Über konvergente Zerlegungen bei nichtlinearen Abbildungen1976-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41380221976-01-01Paper
On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots1974-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56841521974-01-01Paper
Stets konvergente Verfahren höherer Ordnung zur Berechnung von reellen Nullstellen1974-01-01Paper
Über Simultanverfahren zur Bestimmung reeller Polynomwurzeln1974-01-01Paper
Quadratisch konvergente Einschließung von Lösungen nichtkonvexer Gleichungssysteme1974-01-01Paper
https://portal.mardi4nfdi.de/entity/Q40991231974-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41516521974-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56743241973-01-01Paper
Zur Konvergenz des Verfahrens der tangierenden Hyperbeln und des Tschebyscheff-Verfahrens bei konvexen Abbildungen1973-01-01Paper
Über konvergente Zerlegungen von Matrizen1973-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56449541972-01-01Paper
On the existence of a unique solution for a class of nonlinear systems of equations its calculation by iteration methods1972-01-01Paper
Über reguläre Zerlegungen bei nichtlinearen Abbildungen1972-01-01Paper
Nullstelleneinschließung mit dem Newton-Verfahren ohne Invertierung von Intervallmatrizen1972-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56150021971-01-01Paper
Instationäre Hyperschallströmung um schmelzende stumpfe Rotationskörper1971-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56549331971-01-01Paper
Zur Invertierung linearer und beschränkter Operatoren1971-01-01Paper
Anwendungen des Fixpunktsatzes für pseudometrische Räume in der Intervallrechnung. (Application of the fixed point theorem for pseudo- metric spaces in the interval arithmetic)1971-01-01Paper
Über das Newton‐Verfahren bei nichtlinearen Gleichungssystemen1970-01-01Paper
https://portal.mardi4nfdi.de/entity/Q55948521970-01-01Paper
https://portal.mardi4nfdi.de/entity/Q55948571970-01-01Paper
Über Eigenschaften und Anwendungsmöglichkeiten einer komplexen Intervallarithmetik1970-01-01Paper
https://portal.mardi4nfdi.de/entity/Q55979291970-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56106581970-01-01Paper
Verfahren höherer Ordnung zur iterativen Einschließung der inversen Matrix1970-01-01Paper
Über die aus monoton zerlegbaren Operatoren gebildeten Iterationsverfahren1970-01-01Paper
ALGOL-60 Algorithmen zur Auflösung linearer Gleichungssysteme mit Fehlererfassung1970-01-01Paper
https://portal.mardi4nfdi.de/entity/Q55784431968-01-01Paper
Über die asymptotische Konvergenzgeschwindigkeit des allgemeinen Relaxationsverfahrens bei nichtnegativen Matrizen1968-01-01Paper

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