A. A. Goldstein

2.7k total citations
35 papers, 1.8k citations indexed

About

A. A. Goldstein is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, A. A. Goldstein has authored 35 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Numerical Analysis, 16 papers in Computational Theory and Mathematics and 7 papers in Applied Mathematics. Recurrent topics in A. A. Goldstein's work include Advanced Optimization Algorithms Research (12 papers), Optimization and Variational Analysis (9 papers) and Iterative Methods for Nonlinear Equations (7 papers). A. A. Goldstein is often cited by papers focused on Advanced Optimization Algorithms Research (12 papers), Optimization and Variational Analysis (9 papers) and Iterative Methods for Nonlinear Equations (7 papers). A. A. Goldstein collaborates with scholars based in United States. A. A. Goldstein's co-authors include E. W. Cheney, Ward Cheney, Jason Price, James F. Price, James B. Bassingthwaighte, I. S. Chan, Norman Levine, Charles Hobby, J. E. Dennis and R. A. Tapia and has published in prestigious journals such as Mathematics of Computation, Journal of the ACM and Mathematical Programming.

In The Last Decade

A. A. Goldstein

34 papers receiving 1.5k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
A. A. Goldstein United States	14	954	940	459	237	221	35	1.8k
V. F. Demyanov Russia	17	936 1.0×	707 0.8×	172 0.4×	259 1.1×	89 0.4×	69	1.4k
G. A. Watson United Kingdom	21	576 0.6×	530 0.6×	452 1.0×	210 0.9×	116 0.5×	98	1.7k
George J. Minty United States	16	1.5k 1.6×	650 0.7×	213 0.5×	205 0.9×	149 0.7×	24	2.3k
Klaus Ritter Germany	21	735 0.8×	874 0.9×	385 0.8×	218 0.9×	136 0.6×	95	2.3k
D. J. Evans United Kingdom	22	929 1.0×	772 0.8×	327 0.7×	83 0.4×	166 0.8×	241	2.2k
Alexander P. Morgan United States	25	1.1k 1.1×	636 0.7×	717 1.6×	946 4.0×	195 0.9×	50	2.6k
Robert S. Womersley Australia	23	614 0.6×	715 0.8×	415 0.9×	117 0.5×	103 0.5×	53	1.4k
Daniel Gabay France	4	423 0.4×	451 0.5×	940 2.0×	154 0.6×	227 1.0×	6	1.8k
Patrick Redont France	14	770 0.8×	616 0.7×	786 1.7×	141 0.6×	174 0.8×	18	1.5k
Gianni Di Pillo Italy	20	877 0.9×	871 0.9×	264 0.6×	604 2.5×	219 1.0×	48	1.8k

Countries citing papers authored by A. A. Goldstein

Since Specialization

Citations

This map shows the geographic impact of A. A. Goldstein's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by A. A. Goldstein with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. A. Goldstein more than expected).

Fields of papers citing papers by A. A. Goldstein

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. A. Goldstein. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by A. A. Goldstein. The network helps show where A. A. Goldstein may publish in the future.

Co-authorship network of co-authors of A. A. Goldstein

This figure shows the co-authorship network connecting the top 25 collaborators of A. A. Goldstein. A scholar is included among the top collaborators of A. A. Goldstein based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with A. A. Goldstein. A. A. Goldstein is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Chan, I. S., A. A. Goldstein, & James B. Bassingthwaighte. (1993). SENSOP: A derivative-free solver for nonlinear least squares with sensitivity scaling. Annals of Biomedical Engineering. 21(6). 621–631. 45 indexed citations

Goldstein, A. A.. (1989). How good are Global Newton methods. Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School). 1 indexed citations

Bassingthwaighte, James B., I. S. Chan, & A. A. Goldstein. (1988). An efficient method for smoothing indicator-dilution and other unimodal curves. Computers and Biomedical Research. 21(2). 192–202. 5 indexed citations

Bassingthwaighte, James B., et al.. (1988). GGOPT: an unconstrained non-linear optimizer. Computer Methods and Programs in Biomedicine. 26(3). 275–281. 1 indexed citations

Goldstein, A. A., et al.. (1987). How good are the proximal point algorithms?. Numerical Functional Analysis and Optimization. 9(7-8). 709–724. 3 indexed citations

Goldstein, A. A.. (1984). A note on the complexity of an algorithm for chebyshev approximation. BIT Numerical Mathematics. 24(4). 503–509. 1 indexed citations

Bassingthwaighte, James B., et al.. (1982). Optimization using sensitivity functions for fitting models to data. Mathematics and Computers in Simulation. 24(6). 502–506. 3 indexed citations

Goldstein, A. A.. (1977). Optimization of lipschitz continuous functions. Mathematical Programming. 13(1). 14–22. 103 indexed citations

Goldstein, A. A., et al.. (1971). On Descent from Local Minima. Mathematics of Computation. 25(115). 569–569. 1 indexed citations

10.

Goldstein, A. A. & James F. Price. (1967). An effective algorithm for minimization. Numerische Mathematik. 10(3). 184–189. 64 indexed citations

11.

Goldstein, A. A.. (1965). On Steepest Descent. 3(1). 147–151. 180 indexed citations

12.

Goldstein, A. A.. (1965). On Newton's method. Numerische Mathematik. 7(5). 391–393. 54 indexed citations

13.

Goldstein, A. A.. (1965). Convex Programming and Optimal Control. 3(1). 142–146. 5 indexed citations

14.

Goldstein, A. A.. (1964). Convex programming in Hilbert space. Bulletin of the American Mathematical Society. 70(5). 709–710. 428 indexed citations

15.

Goldstein, A. A., et al.. (1964). Mathematical programming by minimizing differentiable functions. Numerische Mathematik. 6(1). 47–48. 3 indexed citations

16.

Goldstein, A. A.. (1962). Cauchy's method of minimization. Numerische Mathematik. 4(1). 146–150. 49 indexed citations

17.

Cheney, Ward & A. A. Goldstein. (1959). Proximity Maps for Convex Sets. Proceedings of the American Mathematical Society. 10(3). 448–448. 38 indexed citations

18.

Cheney, Ward & A. A. Goldstein. (1959). Proximity maps for convex sets. Proceedings of the American Mathematical Society. 10(3). 448–450. 194 indexed citations

19.

Cheney, E. W. & A. A. Goldstein. (1959). Newton's method for convex programming and Tchebycheff approximation. Numerische Mathematik. 1(1). 253–268. 220 indexed citations

20.

Cheney, Ward & A. A. Goldstein. (1958). Note on a Paper by Zuhovickii˘ Concerning the Tchebycheff Problem for Linear Equations. Journal of the Society for Industrial and Applied Mathematics. 6(3). 233–239. 9 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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