B. S. Garbow

4.3k total citations · 2 hit papers
23 papers, 2.7k citations indexed

About

B. S. Garbow is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Computational Mechanics. According to data from OpenAlex, B. S. Garbow has authored 23 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Computational Theory and Mathematics, 8 papers in Numerical Analysis and 2 papers in Computational Mechanics. Recurrent topics in B. S. Garbow's work include Matrix Theory and Algorithms (11 papers), Advanced Optimization Algorithms Research (7 papers) and Iterative Methods for Nonlinear Equations (3 papers). B. S. Garbow is often cited by papers focused on Matrix Theory and Algorithms (11 papers), Advanced Optimization Algorithms Research (7 papers) and Iterative Methods for Nonlinear Equations (3 papers). B. S. Garbow collaborates with scholars based in United States and Italy. B. S. Garbow's co-authors include Jorge J. Morè, K. E. Hillstrom, Jack Dongarra, Yasuhiko Ikebe, Brian T. Smith, Virginia Klema, Thomas Aird, Thomas F. Coleman, J. N. Lyness and Giulio Giunta and has published in prestigious journals such as Mathematics of Computation, Computer Physics Communications and ACM Transactions on Mathematical Software.

In The Last Decade

B. S. Garbow

23 papers receiving 2.4k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Testing Unconstrained Optimization Software

1981 1.1k citations Jorge J. Morè, B. S. Garbow et al. ACM Transactions on Mathematical Software profile →
Matrix Eigensystem Routines--EISPACK Guide

1976 482 citations Thomas Aird, Brian T. Smith et al. Mathematics of Computation profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
B. S. Garbow United States	13	1.2k	1.2k	515	307	267	23	2.7k
E. W. Cheney United States	22	1.0k 0.8×	985 0.9×	589 1.1×	231 0.8×	209 0.8×	60	3.1k
James M. Ortega United States	23	955 0.8×	1.4k 1.2×	706 1.4×	202 0.7×	215 0.8×	57	2.9k
Klaus Ritter Germany	21	874 0.7×	735 0.6×	385 0.7×	136 0.4×	218 0.8×	95	2.3k
Kurt Georg United States	16	977 0.8×	1.0k 0.9×	699 1.4×	161 0.5×	491 1.8×	31	3.1k
M. R. Osborne Australia	26	767 0.6×	669 0.6×	849 1.6×	414 1.3×	465 1.7×	126	3.5k
Trond Steihaug Norway	12	1.4k 1.1×	1.3k 1.1×	789 1.5×	177 0.6×	191 0.7×	61	2.4k
Eugene L. Allgower United States	20	1.1k 0.9×	1.2k 1.0×	874 1.7×	164 0.5×	512 1.9×	49	3.4k
G. W. Stewart United States	14	574 0.5×	843 0.7×	382 0.7×	326 1.1×	370 1.4×	39	2.2k
Guido Weiss United States	30	789 0.6×	1.1k 1.0×	689 1.3×	146 0.5×	318 1.2×	67	11.1k
T. J. Rivlin United States	23	1.6k 1.3×	1.4k 1.2×	870 1.7×	442 1.4×	323 1.2×	71	5.3k

Countries citing papers authored by B. S. Garbow

Since Specialization

Citations

This map shows the geographic impact of B. S. Garbow'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 B. S. Garbow with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites B. S. Garbow more than expected).

Fields of papers citing papers by B. S. Garbow

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by B. S. Garbow. 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 B. S. Garbow. The network helps show where B. S. Garbow may publish in the future.

Co-authorship network of co-authors of B. S. Garbow

This figure shows the co-authorship network connecting the top 25 collaborators of B. S. Garbow. A scholar is included among the top collaborators of B. S. Garbow 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 B. S. Garbow. B. S. Garbow is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Garbow, B. S. & J. N. Lyness. (1990). Remark on algorithm 662. ACM Transactions on Mathematical Software. 16(4). 405–406. 1 indexed citations

Garbow, B. S., Giulio Giunta, J. N. Lyness, & A. Murli. (1988). Software for an implementation of Weeks' method for the inverse Laplace transform. ACM Transactions on Mathematical Software. 14(2). 163–170. 50 indexed citations

Garbow, B. S., et al.. (1987). User's guide to Toolpack/1 (Release 2) in a Unix environment. University of North Texas Digital Library (University of North Texas). 2 indexed citations

Coleman, Thomas F., B. S. Garbow, & Jorge J. Morè. (1985). Software for estimating sparse Hessian matrices. ACM Transactions on Mathematical Software. 11(4). 363–377. 30 indexed citations

Garbow, B. S.. (1984). Remark on “Algorithm 535: The QZ Algorithm to Solve the Generalized Eigenvalue Problem for Complex Matrices [F2]”. ACM Transactions on Mathematical Software. 10(4). 476–476. 2 indexed citations

Coleman, Thomas F., B. S. Garbow, & Jorge J. Morè. (1984). Algorithm 618: FORTRAN subroutines for estimating sparse Jacobian Matrices. ACM Transactions on Mathematical Software. 10(3). 346–347. 18 indexed citations

Coleman, Thomas F., B. S. Garbow, & Jorge J. Morè. (1984). Software for estimating sparse Jacobian matrices. ACM Transactions on Mathematical Software. 10(3). 329–345. 75 indexed citations

Garbow, B. S., et al.. (1983). A Numerical Method for Solving Inverse Real Symmetric Eigenvalue Problems. SIAM Journal on Scientific and Statistical Computing. 4(1). 45–51. 8 indexed citations

Garbow, B. S.. (1982). Remark on “Algorithm 535: The QZ Algorithm to Solve the Generalized Eigenvalue Problem”. ACM Transactions on Mathematical Software. 8(4). 402–402. 2 indexed citations

10.

Morè, Jorge J., B. S. Garbow, & K. E. Hillstrom. (1981). Algorithm 566: FORTRAN Subroutines for Testing Unconstrained Optimization Software [C5], [E4]. ACM Transactions on Mathematical Software. 7(1). 136–140. 32 indexed citations

11.

Morè, Jorge J., B. S. Garbow, & K. E. Hillstrom. (1981). Testing Unconstrained Optimization Software. ACM Transactions on Mathematical Software. 7(1). 17–41. 1133 indexed citations breakdown →

12.

Garbow, B. S., et al.. (1980). LCLSQ: An Implementation of an Algorithm for Linearly Constrained Linear Least-Squares Problems. University of North Texas Digital Library (University of North Texas). 4 indexed citations

13.

Morè, Jorge J., B. S. Garbow, & K. E. Hillstrom. (1980). User Guide for Minpack-1. University of North Texas Digital Library (University of North Texas). 396 indexed citations

14.

Garbow, B. S., K. E. Hillstrom, & Jorge J. Morè. (1980). Implementation guide for MINPACK-1. University of North Texas Digital Library (University of North Texas). 8 indexed citations

15.

Garbow, B. S.. (1978). Algorithm 535: The QZ algorithm to solve the generalized eigenvalue problem for complex matrices [F2]. ACM Transactions on Mathematical Software. 4(4). 404–410. 27 indexed citations

16.

Garbow, B. S., et al.. (1977). Matrix Eigensystem Routines — EISPACK Guide Extension. Lecture notes in computer science. 359 indexed citations

17.

Smith, Brian T., Jack Dongarra, B. S. Garbow, et al.. (1976). Matrix Eigensystem Routines - EISPACK Guide, Second Edition. Research Explorer (The University of Manchester). 36 indexed citations

18.

Aird, Thomas, et al.. (1976). Matrix Eigensystem Routines--EISPACK Guide. Mathematics of Computation. 30(133). 188–188. 482 indexed citations breakdown →

19.

Garbow, B. S.. (1974). EISPACK — A package of matrix eigensystem routines. Computer Physics Communications. 7(4). 179–184. 24 indexed citations

20.

Cody, William J., et al.. (1972). NATS a collaborative effort to certify and disseminate mathematical software. 2. 630–635. 8 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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