G. Alefeld

发表

Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis)

R. D. Grigorieff, G. Alefeld, 1980, Computing Supplementum.

Introduction to Interval Computation

G. Alefeld, J. Herzberger, J. Rokne, 1983 .

Numerical validation of solutions of linear complementarity problems

Xiaojun Chen, Florian A. Potra, Götz Alefeld, 1999, Numerische Mathematik.

Efficient numerical validation of solutions of nonlinear systems

F. Potra, G. Alefeld, A. Gienger, 1994 .

Interval analysis: theory and applications

G. Alefeld, G. Mayer, 2000 .

On square roots of M-matrices

G. Alefeld, N. Schneider, 1982 .

On multisplitting methods for band matrices

G. Alefeld, G. Mayer, I. Lenhardt, 1997 .

A QUADRATICALLY CONVERGENT KRAWCZYK-LIKE ALGORITHM*

Götz Alefeld, G. Alefeld, L. Platzöder, 1983 .

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

V. Kreinovich, G. Alefeld, G. Mayer, 1997, SIAM J. Matrix Anal. Appl..

On the solution sets of particular classes of linear interval systems

V. Kreinovich, G. Alefeld, G. Mayer, 2003 .

Verification Algorithms for Generalized Singular Values

G. Alefeld, G. Mayer, R. Hoffmann, 2010 .

Chapter 12 – SYSTEMS OF LINEAR EQUATIONS AMENABLE TO ITERATION

G. Alefeld, 1983 .

Chapter 10 – INTERVAL MATRIX OPERATIONS

G. Alefeld, 1983 .

Symbolic Algebraic Methods and Verification Methods

Siegfried M. Rump, Götz Alefeld, Jiri Rohn, 2001 .

On the existence theorems of Kantorovich, Miranda and Borsuk.

Andreas Frommer, Götz Alefeld, Gerhard Heindl, 2004 .

Componentwise inclusion and exclusion sets for solutions of quadratic equations in finite dimensional spaces

G. Alefeld, 1986 .

Modifications of the Interval-Newton-Method with improved asymptotic efficiency

F. Potra, G. Alefeld, W. Völker, 1998 .

Algorithm 748: enclosing zeros of continuous functions

Yixun Shi, G. E. Alefeld, F. A. Potra, 1995, TOMS.

A Computer Aided Existence and Uniqueness Proof for an Inverse Matrix Eigenvalue Problem

G. Alefeld, G. Mayer, 2006 .

Chapter 4 – MACHINE INTERVAL ARITHMETIC

G. Alefeld, J. Herzberger, 1983 .

Chapter 7 – INCLUSION OF ZEROS OF A FUNCTION OF ONE REAL VARIABLE

G. Alefeld, 1983 .

Error bounds for quadratic systems of nonlinear equations using the precise scalar product

G. Alefeld, 1988 .

Computing Errorbounds for Eigenpairs Using the Precise Scalarproduct

G. Alefeld, 1987 .

Chapter 13 – RELAXATION METHODS

G. Alefeld, J. Herzberger, 1983 .

Chapter 19 – NEWTON-LIKE METHODS FOR NONLINEAR SYSTEMS OF EQUATIONS

G. Alefeld, 1983 .

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

Götz Alefeld, Herbert Spreuer, G. Alefeld, 1986, Computing.

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

Götz Alefeld, Günter Mayer, G. Alefeld, 2008, SIAM J. Matrix Anal. Appl..

Traversing Limit Points in Nonlinear Structural Analysis Using Efficient Iterative Equation Solvers

K. Schweizerhof, G. Alefeld, I. Lenhardt, 1999 .

On the Symmetric and Unsymmetric Solution Set of Interval Systems

Götz Alefeld, Günter Mayer, G. Alefeld, 1995, SIAM J. Matrix Anal. Appl..

The Cholesky method for interval data

Götz Alefeld, Günter Mayer, G. Alefeld, 1993 .

Bounding the slope of polynomial operators and some applications

Götz Alefeld, G. Alefeld, 1981, Computing.

Regular splittings and monotone iteration functions

G. Alefeld, P. Volkmann, 1985 .

Introduction: Symbolic Algebraic Methods and Verification Methods

Siegfried M. Rump, Götz Alefeld, Jiri Rohn, 2001, Symbolic Algebraic Methods and Verification Methods.

Error bounds and enclosures: The development of numerical analysis and the impact of the contributions by Lothar Collatz

G. Alefeld, M. Plum, C. Wieners, 2020, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik.

On the Convergence of Halley's Method

Götz Alefeld, G. Alefeld, 1981 .

On the Existence Theorems of Kantorovich, Moore and Miranda

Florian A. Potra, Götz Alefeld, F. Potra, 2001 .

Interval Arithmetic Tools for Range Approximation and Inclusion of Zeros

Götz Alefeld, G. Alefeld, 1999 .

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

Vladik Kreinovich, Götz Alefeld, Günter Mayer, 2001, Symbolic Algebraic Methods and Verification Methods.

On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots

Jürgen Herzberger, Götz Alefeld, G. Alefeld, 1974 .

On applications of parallel solution techniques for highly nonlinear problems involving static and dynamic buckling

Götz Alefeld, Karl Schweizerhof, Th. Rottner, 2002 .

Nonlinear structural finite element analysis using the preconditioned Lanczos method on serial and parallel computers

Götz Alefeld, Karl Schweizerhof, Ingrid Lenhardt, 1997 .

Numerical validation of solutions of complementarity The nonlinear case

Xiaojun Chen, Florian A. Potra, Götz Alefeld, 2002, Numerische Mathematik.

Numerical validation for an inverse matrix eigenvalue problem

Götz Alefeld, Günter Mayer, A. Gienger, 1994, Computing.

On the convergence of the symmetric SOR method for matrices with red-black ordering

G. Alefeld, 1982 .

Chapter 18 – ITERATION METHODS FOR THE INCLUSION OF THE INVERSE MATRIX AND FOR TRIANGULAR DECOMPOSITIONS

G. Alefeld, 1983 .

AN ENCLOSURE METHOD WITH HIGHER ORDER OF CONVERGENCE APPLICATIONS TO THE ALGEBRAIC EIGENVALUE PROBLEM

F. Potra, G. Alefeld, B. Illg, 1991 .

Numerical Computation for Nonlinear Equations

G. Alefeld, 2008 .

Chapter 6 – METRIC, ABSOLUTE VALUE, AND WIDTH IN I(ℂ)

G. Alefeld, 1983 .

Chapter 5 – COMPLEX INTERVAL ARITHMETIC

G. Alefeld, 1983 .

Chapter 14 – OPTIMALITY OF THE SYMMETRIC SINGLE STEP METHOD WITH TAKING INTERSECTION AFTER EVERY COMPONENT

G. Alefeld, 1983 .

Enclosing Solutions of Singular Interval Systems Iteratively

Götz Alefeld, Günter Mayer, G. Alefeld, 2005, Reliab. Comput..

The Shape of the Solution Set for Systems of Interval Linear Equations with Dependent Coefficients

Vladik Kreinovich, Götz Alefeld, Günter Mayer, 1998 .

The Shape of the Symmetric Solution Set

Vladik Kreinovich, Götz Alefeld, Günter Mayer, 1996 .

A new class of interval methods with higher order of convergence

Florian A. Potra, Götz Alefeld, F. Potra, 1989, Computing.