C. B. Garcia

1.9k total citations · 1 hit paper
24 papers, 1.2k citations indexed

About

C. B. Garcia is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, C. B. Garcia has authored 24 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Numerical Analysis, 12 papers in Computational Theory and Mathematics and 5 papers in Geometry and Topology. Recurrent topics in C. B. Garcia's work include Advanced Optimization Algorithms Research (10 papers), Iterative Methods for Nonlinear Equations (7 papers) and Polynomial and algebraic computation (5 papers). C. B. Garcia is often cited by papers focused on Advanced Optimization Algorithms Research (10 papers), Iterative Methods for Nonlinear Equations (7 papers) and Polynomial and algebraic computation (5 papers). C. B. Garcia collaborates with scholars based in United States, France and Spain. C. B. Garcia's co-authors include Willard I. Zangwill, R. Bruce Kellogg, Werner C. Rheinboldt, F. J. Gould, S. Karamardian, Claudine Peyrat, A. Charnes, C. E. Lemke, M.A. Fiol and Patrick Solé and has published in prestigious journals such as Management Science, Mathematics of Computation and SIAM Journal on Numerical Analysis.

In The Last Decade

C. B. Garcia

24 papers receiving 1.1k 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.

Pathways to Solutions, Fixed Points, and Equilibria.

1983 432 citations R. Bruce Kellogg, C. B. Garcia et al. Mathematics of Computation profile →

Peers

C. B. Garcia

CTM

NA

EE

CM

CSE

Robert G. Bartle United States

B. Curtis Eaves United States

Stephen C. Billups United States

Dale E. Varberg United States

E. N. Barron United States

Hubertus Th. Jongen Germany

F. J. Gould United States

Marc Quincampoix France

Roberto Cominetti Chile

William M. McEneaney United States

Robert G. Bartle United States

C. B. Garcia

435 ×0.8

CTM

193 ×0.4

NA

89 ×0.5

EE

78 ×0.5

CM

256 ×1.8

CSE

Citations per year, relative to C. B. Garcia C. B. Garcia (= 1×) peers Robert G. Bartle

Countries citing papers authored by C. B. Garcia

Since Specialization

Citations

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

Fields of papers citing papers by C. B. Garcia

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of C. B. Garcia

This figure shows the co-authorship network connecting the top 25 collaborators of C. B. Garcia. A scholar is included among the top collaborators of C. B. Garcia 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 C. B. Garcia. C. B. Garcia 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

1.

Fiol, M.A., et al.. (1997). Triple loop networks with small transmission delay. Discrete Mathematics. 167-168. 3–16. 13 indexed citations

2.

Garcia, C. B. & Claudine Peyrat. (1997). Large Cayley graphs on an abelian group. Discrete Applied Mathematics. 75(2). 125–133. 10 indexed citations

3.

Garcia, C. B. & Patrick Solé. (1993). Diameter lower bounds for Waring graphs and multiloop networks. Discrete Mathematics. 111(1-3). 257–261. 6 indexed citations

4.

Garcia, C. B. & F. J. Gould. (1987). A Note on the Measurement of Risk in a Portfolio. Financial Analysts Journal. 43(2). 61–69. 3 indexed citations

5.

Kellogg, R. Bruce, C. B. Garcia, & Willard I. Zangwill. (1983). Pathways to Solutions, Fixed Points, and Equilibria.. Mathematics of Computation. 40(162). 720–720. 432 indexed citations breakdown →

6.

Rheinboldt, Werner C., C. B. Garcia, & Willard I. Zangwill. (1983). Pathways to Solutions, Fixed Points, and Equilibria.. American Mathematical Monthly. 90(1). 66–66. 214 indexed citations

7.

Zangwill, Willard I. & C. B. Garcia. (1981). Equilibrium programming:The path following approach and dynamics. Mathematical Programming. 21(1). 262–289. 24 indexed citations

8.

Garcia, C. B. & F. J. Gould. (1980). Relations Between Several Path Following Algorithms and Local and Global Newton Methods. SIAM Review. 22(3). 263–274. 30 indexed citations

9.

Garcia, C. B., et al.. (1980). On the Number of Solutions to Polynomial Systems of Equations. SIAM Journal on Numerical Analysis. 17(4). 540–546. 94 indexed citations

10.

Garcia, C. B. & Willard I. Zangwill. (1979). On univalence and P-matrices. Linear Algebra and its Applications. 24. 239–250. 12 indexed citations

11.

Garcia, C. B. & Willard I. Zangwill. (1979). An Approach to Homotopy and Degree Theory. Mathematics of Operations Research. 4(4). 390–405. 41 indexed citations

12.

Garcia, C. B., et al.. (1979). On a Path Following Method for Systems of Equations.. Defense Technical Information Center (DTIC). 5 indexed citations

13.

Garcia, C. B. & F. J. Gould. (1979). Scalar labelings for homotopy paths. Mathematical Programming. 17(1). 184–197. 5 indexed citations

14.

Garcia, C. B. & Willard I. Zangwill. (1979). Finding all solutions to polynomial systems and other systems of equations. Mathematical Programming. 16(1). 159–176. 103 indexed citations

15.

Garcia, C. B. & F. J. Gould. (1978). A Theorem on Homotopy Paths. Mathematics of Operations Research. 3(4). 282–289. 20 indexed citations

16.

Charnes, A., C. B. Garcia, & C. E. Lemke. (1977). Constructive proofs of theorems relating to:F(x) = y, with applications. Mathematical Programming. 12(1). 328–343. 13 indexed citations

17.

Garcia, C. B.. (1977). Computation of Solutions to Nonlinear Equations Under Homotopy Invariance. Mathematics of Operations Research. 2(1). 25–29. 10 indexed citations

18.

Garcia, C. B.. (1976). A Hybrid Algorithm for the Computation of Fixed Points. Management Science. 22(5). 606–613. 6 indexed citations

19.

Garcia, C. B.. (1975). A fixed point theorem including the last theorem of Poincaré. Mathematical Programming. 9(1). 227–239. 4 indexed citations

20.

Garcia, C. B.. (1973). Some classes of matrices in linear complementarity theory. Mathematical Programming. 5(1). 299–310. 53 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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