World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
11623
World Ranking
1435
National Ranking
637

Alan J. Laub 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 Alan J. Laub 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: 83 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: 154 publications — 40th percentile

40% of scientists in this discipline score the same or lower.

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

Alan J. Laub 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 Alan J. Laub 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: 138 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: 45 D-Index — 61st percentile

61% 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

  • 2016 - SIAM Fellow For contributions to the numerical solution of problems in control and filtering.
  • 1986 - IEEE Fellow For contributions to algorithms, numerical analysis, and mathematical software for control and systems theory.

Overview

Alan J. Laub is affiliated with the University of California, Santa Barbara in the United States. Their professional work centers around control and systems theory, with a focus on numerical solutions to related problems.

They have been recognized as a Fellow of the Society for Industrial and Applied Mathematics (SIAM) in 2016, specifically cited for contributions to the numerical solution of problems in control and filtering.

Additionally, Alan J. Laub was named an IEEE Fellow in 1986, acknowledged for contributions to algorithms, numerical analysis, and mathematical software applicable to control and systems theory.

Best Publications

  • Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms

    A. Laub;M. Heath;C. Paige;R. Ward

  • Feedback properties of multivariable systems: The role and use of the return difference matrix

    M. Safonov;A. Laub;G. Hartmann

  • Decentralized structures for parallel Kalman filtering

    H.R. Hashemipour;S. Roy;A.J. Laub

  • The linear-quadratic optimal regulator for descriptor systems

    D. Bender;A. Laub

  • Generalized eigenproblem algorithms and software for algebraic Riccati equations

    Unknown

  • The matrix sign function

    C.S. Kenney;A.J. Laub

  • Solution of the Sylvester matrix equation AXBT + CXDT = E

    Judith D. Gardiner;Alan J. Laub;James J. Amato;Cleve B. Moler

  • Numerical solution of the discrete-time periodic Riccati equation

    J.J. Hench;A.J. Laub

  • Rational iterative methods for the matrix sign function

    Charles Kenney;Alan J. Laub

  • Approximating the Logarithm of a Matrix to Specified Accuracy

    Sheung Hun Cheng;Nicholas J. Higham;Charles S. Kenney;Alan J. Laub

  • On the Iterative Solution of a Class of Nonsymmetric Algebraic Riccati Equations

    Chun-Hua Guo;Alan J. Laub

  • Condition Estimates for Matrix Functions

    Charles Kenney;Alan J. Laub

  • Numerical linear algebra aspects of control design computations

    A. Laub

  • Invariant Subspace Methods for the Numerical Solution of Riccati Equations

    Unknown

  • Canonical forms for symplectic and Hamiltonian matrices

    Unknown

  • Controllability and Observability Criteria for Multivariable Linear Second-Order Models

    Unknown

  • A generalization of the matrix sign function solution for algebraic Riccati equations

    Judith Gardiner;Alan Laub

  • On scaling Newton's method for polar decomposition and the matrix sign function

    Charles Kenney;Alan J. Laub

  • Computing the singular value decompostion of a product of two matrices

    M T Heath;A J Laub;C C Paige;R C Ward

  • Efficient matrix-valued algorithms for solving stiff Riccati differential equations

    C.H. Choi;A.J. Laub

  • Controllability and stability radii for companion form systems

    Charles S. Kenney;Alan J. Laub

  • Correction to "Feedback properties of multivariable systems: The role and use of the return difference matrix"

    M. Safonov;A. Laub;G. Hartman

  • Polar decomposition and matrix sign function condition estimates

    Charles Kenney;Alan J. Laub

  • Padé error estimates for the logarithm of a matrix

    Charles Kenney;Alan J. Laub

Frequent Co-Authors

Roy S. Smith
Roy S. Smith ETH Zurich
Volker Mehrmann
Volker Mehrmann Technical University of Berlin
Christopher C. Paige
Christopher C. Paige McGill University
Michael T. Heath
Michael T. Heath University of Illinois at Urbana-Champaign
Çetin Kaya Koç
Çetin Kaya Koç University of California, Santa Barbara
Marshall N. Rosenbluth
Marshall N. Rosenbluth University of California, San Diego
Nicholas J. Higham
Nicholas J. Higham University of Manchester
Peter Benner
Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems
Sumit Roy
Sumit Roy University of Washington

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Best Scientists Citing Alan J. Laub