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Introduction to Numerical Analysis

- A. Neumaier
- Mathematics
- 1 October 2001

1. The numerical evaluation of expressions 2. Linear systems of equations 3. Interpolation and numerical differentiation 4. Numerical integration 5. Univariate nonlinear equations 6. Systems of… Expand

Interval methods for systems of equations

- A. Neumaier
- Mathematics
- 1990

Preface Symbol index 1. Basic properties of interval arithmetic 2. Enclosures for the range of a function 3. Matrices and sublinear mappings 4. The solution of square linear systems of equations 5.… Expand

Restricted maximum likelihood estimation of covariances in sparse linear models

- A. Neumaier, E. Groeneveld
- MathematicsGenetics Selection Evolution
- 15 January 1998

This paper surveys the theoretical and computational development of the restricted maximum likelihood (REML) approach for the estimation of covariance matrices in linear stochastic models. A new… Expand

Global Optimization by Multilevel Coordinate Search

- W. Huyer, A. Neumaier
- Computer ScienceJ. Glob. Optim.
- 1 June 1999

TLDR

Distance Regular Graphs

- A. Brouwer, A. Cohen, A. Neumaier
- Mathematics
- 1 August 1989

Inequalities are obtained between the various parameters of a distance-regular graph. In particular, if k1 is the valency and k2 is the number of vertices at distance two from a given vertex, then in… Expand

Estimation of parameters and eigenmodes of multivariate autoregressive models

- A. Neumaier, T. Schneider
- Computer ScienceTOMS
- 1 March 2001

TLDR

Complete search in continuous global optimization and constraint satisfaction

- A. Neumaier
- Computer ScienceActa Numerica
- 1 May 2004

This survey covers the state of the art of techniques for solving general-purpose constrained global optimization problems and continuous constraint satisfaction problems, with emphasis on complete… Expand

RESIDUAL INVERSE ITERATION FOR THE NONLINEAR EIGENVALUE PROBLEM

- A. Neumaier
- Mathematics
- 1 October 1985

For the nonlinear eigenvalue problem $A(\hat \lambda )\hat x = 0$, where $A( \cdot )$ is a matrix-valued operator, residual inverse iteration with shift $\sigma $ is defined by \[ a^{(l + 1)} : =… Expand

Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on Regularization

- A. Neumaier
- MathematicsSIAM Rev.
- 1 September 1998

It is shown that the basic regularization procedures for finding meaningful approximate solutions of ill-conditioned or singular linear systems can be phrased and analyzed in terms of classical… Expand

Algorithm 808: ARfit—a matlab package for the estimation of parameters and eigenmodes of multivariate autoregressive models

- T. Schneider, A. Neumaier
- MathematicsTOMS
- 1 March 2001

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