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- Arnold Neumaier

Mathematics

Austria

2022

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Engineering and Technology
D-index
35
Citations
11,168
154
World Ranking
3359
National Ranking
12

Mathematics
D-index
48
Citations
17,601
235
World Ranking
863
National Ranking
14

Computer Science
D-index
39
Citations
15,257
191
World Ranking
5916
National Ranking
52

2022 - Research.com Mathematics in Austria Leader Award

- Quantum mechanics
- Mathematical analysis
- Algebra

Arnold Neumaier focuses on Mathematical optimization, Interval arithmetic, Applied mathematics, Discrete mathematics and Global optimization. In his study, Branch and bound, Linear model and Finite difference is strongly linked to Function, which falls under the umbrella field of Mathematical optimization. His Interval arithmetic research is multidisciplinary, incorporating elements of Rounding, Dynamical system and Integer programming.

The various areas that Arnold Neumaier examines in his Applied mathematics study include Linear system and Calculus. His work investigates the relationship between Discrete mathematics and topics such as Combinatorics that intersect with problems in Eigenvalues and eigenvectors. The study incorporates disciplines such as Optimization problem, Automatic differentiation and Directed acyclic graph in addition to Global optimization.

- Distance-Regular Graphs (2068 citations)
- Interval methods for systems of equations (1790 citations)
- Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on Regularization (535 citations)

His primary scientific interests are in Mathematical optimization, Combinatorics, Discrete mathematics, Global optimization and Algorithm. His work in the fields of Mathematical optimization, such as Optimization problem and Constrained optimization, overlaps with other areas such as Constraint satisfaction, Constraint satisfaction problem and Local consistency. His studies link Eigenvalues and eigenvectors with Combinatorics.

Many of his studies involve connections with topics such as Applied mathematics and Discrete mathematics. His work carried out in the field of Global optimization brings together such families of science as Interval arithmetic and Branch and bound. His studies in Algorithm integrate themes in fields like Subgradient method and Convex optimization.

- Mathematical optimization (24.72%)
- Combinatorics (19.85%)
- Discrete mathematics (16.10%)

- Mathematical optimization (24.72%)
- Algorithm (12.73%)
- Convex optimization (4.49%)

His primary areas of study are Mathematical optimization, Algorithm, Convex optimization, Subgradient method and Constraint satisfaction problem. In general Mathematical optimization, his work in Global optimization, Optimization problem and Branch and bound is often linked to Constraint satisfaction linking many areas of study. Arnold Neumaier has researched Algorithm in several fields, including Scheme, Scale and Nonlinear system.

His work in the fields of Constraint satisfaction problem, such as Local consistency and Constraint satisfaction dual problem, intersects with other areas such as Interval arithmetic, Distance-regular graph and Graph. His study looks at the intersection of Interval arithmetic and topics like Applied mathematics with Inverse, Square, Circle packing and Matrix. His study focuses on the intersection of Simple and fields such as Lipschitz continuity with connections in the field of Discrete mathematics.

- Global Attractivity of the Zero Solution for Wright's Equation (29 citations)
- OSGA: a fast subgradient algorithm with optimal complexity (24 citations)
- Black box optimization benchmarking of the global method (16 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

Arnold Neumaier mainly investigates Mathematical optimization, Algorithm, Global optimization, Subgradient method and Convex optimization. His Mathematical optimization research incorporates elements of Process and Second-order cone programming. His research in Second-order cone programming intersects with topics in Quadratic equation, Definite quadratic form, Quadratic residuosity problem, Applied mathematics and Sequential quadratic programming.

His Algorithm research is multidisciplinary, relying on both Scheme and Bounding overwatch. His Global optimization study integrates concerns from other disciplines, such as Black box, Solver and Branch and bound. His study ties his expertise on Discrete mathematics together with the subject of Convex optimization.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Distance-Regular Graphs

Andries E Brouwer;Arjeh M Cohen;Arnold Neumaier.

**(1989)**

3463 Citations

Distance-Regular Graphs

Andries E Brouwer;Arjeh M Cohen;Arnold Neumaier.

**(1989)**

3463 Citations

Interval methods for systems of equations

Arnold Neumaier.

**(1990)**

3334 Citations

Interval methods for systems of equations

Arnold Neumaier.

**(1990)**

3334 Citations

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

Arnold Neumaier.

Siam Review **(1998)**

857 Citations

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

Arnold Neumaier.

Siam Review **(1998)**

857 Citations

A global optimization method, αBB, for general twice-differentiable constrained NLPs — I. Theoretical advances

C.S. Adjiman;S. Dallwig;C.A. Floudas;A. Neumaier.

Computers & Chemical Engineering **(1998)**

695 Citations

A global optimization method, αBB, for general twice-differentiable constrained NLPs — I. Theoretical advances

C.S. Adjiman;S. Dallwig;C.A. Floudas;A. Neumaier.

Computers & Chemical Engineering **(1998)**

695 Citations

Global Optimization by Multilevel Coordinate Search

Waltraud Huyer;Arnold Neumaier.

Journal of Global Optimization **(1999)**

667 Citations

Global Optimization by Multilevel Coordinate Search

Waltraud Huyer;Arnold Neumaier.

Journal of Global Optimization **(1999)**

667 Citations

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