World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
12181
World Ranking
2415
National Ranking
1012

Engineering and Technology

D-Index
37
Citations
12180
World Ranking
8232
National Ranking
2265

David F. Shanno publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where David F. Shanno sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 80 publications — 3rd percentile

3% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

David F. Shanno D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where David F. Shanno sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 37 D-Index — 33rd percentile

33% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2005 - Fellow of the Institute for Operations Research and the Management Sciences (INFORMS)

Overview

David F. Shanno was affiliated with Rutgers, The State University of New Jersey in the United States. Their research primarily focused on mathematics, with a specialization in numerical analysis and computational aspects of mathematics.

Their main fields of study included:

  • Mathematics

They contributed to several subfields such as:

  • Numerical Analysis
  • Computational Theory and Mathematics
  • Computational Mechanics
  • Mathematical Physics

The topics of Shanno's research centered on algorithmic and optimization methods. Specific areas of work were:

  • Advanced Optimization Algorithms Research
  • Matrix Theory and Algorithms
  • Sparse and Compressive Sensing Techniques
  • Numerical Methods in Inverse Problems
  • Iterative Methods for Nonlinear Equations

Among the recent publications attributed to Shanno's research collaborations were:

  • "Regularized Step Directions in Nonlinear Conjugate Gradient Methods," published in 2021 in arXiv (Cornell University)
  • "Regularized step directions in nonlinear conjugate gradient methods," published in 2024 in Mathematical Programming Computation

Frequent co-authors who contributed to these works included Cassidy K. Buhler and Hande Y. Benson.

The main venues that published their research were:

  • arXiv (Cornell University)
  • Mathematical Programming Computation

David F. Shanno was recognized by peers and professional organizations, having been named a Fellow of the Institute for Operations Research and the Management Sciences (INFORMS) in 2005.

Best Publications

  • Conditioning of Quasi-Newton Methods for Function Minimization

    D. F. Shanno

  • An Interior-Point Algorithm for Nonconvex Nonlinear Programming

    Robert J. Vanderbei;David F. Shanno

  • Conjugate Gradient Methods with Inexact Searches

    David F. Shanno

  • Option Pricing when the Variance Is Changing

    Herb Johnson;David Shanno

  • ON IMPLEMENTING MEHROTRA'S PREDICTOR-CORRECTOR INTERIOR-POINT METHOD FOR LINEAR PROGRAMMING*

    Irvin J. Lustig;Roy E. Marsten;David F. Shanno

  • Computational experience with a primal-dual interior point method for linear programming

    Irvin J. Lustig;Roy E. Marsten;David F. Shanno

  • Remark on “Algorithm 500: Minimization of Unconstrained Multivariate Functions [E4]”

    D. F. Shanno;K. H. Phua

  • Feature Article—Interior Point Methods for Linear Programming: Computational State of the Art

    Irvin J. Lustig;Roy E. Marsten;David F. Shanno

  • Matrix conditioning and nonlinear optimization

    David F. Shanno;Kang-Hoh Phua

  • An Implementation of a Primal-Dual Interior Point Method for Linear Programming

    Kevin A. McShane;Clyde L. Monma;David F. Shanno

  • Very large-scale linear programming: a case study in combining interior point and simplex methods

    Robert E. Bixby;John W. Gregory;Irvin J. Lustig;Roy E. Marsten

  • An example of numerical nonconvergence of a variable-metric method

    D. F. Shanno

  • Algorithm 500: Minimization of Unconstrained Multivariate Functions [E4]

    D. F. Shanno;K. H. Phua

  • On the Convergence of a New Conjugate Gradient Algorithm

    D. F. Shanno

  • Optimal conditioning of quasi-Newton methods

    D. F. Shanno;P. C. Kettler

  • Interior-Point Methods for Nonconvex Nonlinear Programming: Filter Methods and Merit Functions

    Hande Y. Benson;Robert J. Vanderbei;David F. Shanno

  • Interior-point methods for nonconvex nonlinear programming: Orderings and higher-order methods

    David F. Shanno;Robert J. Vanderbei

  • Interior Point Methods for Linear Programming: Just Call Newton, Lagrange, and Fiacco and McCormick!

    Roy Marsten;Radhika Subramanian;Matthew Saltzman;Irvin Lustig

  • Higher-Order Predictor-Corrector Interior Point Methods with Application to Quadratic Objectives

    Tamra J. Carpenter;Irvin J. Lusting;John M. Mulvey;David F. Shanno

  • Further Development of a Primal-Dual Interior Point Method

    In Chan Choi;Clyde L. Monma;David F. Shanno

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