World's Best Scientists 2026 revealed!
Peter Lancaster

Peter Lancaster

D-Index & Metrics

Mathematics

D-Index
54
Citations
21860
World Ranking
811
National Ranking
26

Peter Lancaster 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 Peter Lancaster 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: 241 publications — 75th percentile

75% of scientists in this discipline score the same or lower.

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

Peter Lancaster 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 Peter Lancaster 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: 54 D-Index — 78th percentile

78% 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

  • 2009 - SIAM Fellow For contributions to matrix analysis and its applications to vibrations, systems theory and control.
  • 1984 - Fellow of the Royal Society of Canada Academy of Science

Overview

Peter Lancaster is affiliated with the University of Calgary in Canada and has contributed to research across the fields of Mathematics and Computer Science. Their areas of study include computational theory and mathematics, numerical analysis, and applied mathematics.

The main topics of Peter Lancaster's work encompass matrix theory and algorithms, numerical methods for differential equations, and mathematical functions and polynomials.

Among their recent published work is the paper titled Spectral theory for self-adjoint quadratic eigenvalue problems - a review, published in 2021 in the Electronic Journal of Linear Algebra.

  • Recent paper: Spectral theory for self-adjoint quadratic eigenvalue problems - a review (2021, Electronic Journal of Linear Algebra)

Coauthor collaborations have been noted with I. Zaballa.

  • I. Zaballa

The main publication venue for Peter Lancaster's research has been the Electronic Journal of Linear Algebra.

  • Electronic Journal of Linear Algebra

Peter Lancaster has been recognized with several awards, including being named a SIAM Fellow in 2009 for contributions to matrix analysis and its applications to vibrations, systems theory, and control. Additionally, they were elected Fellow of the Royal Society of Canada in 1984, affiliated with the Academy of Science.

Best Publications

  • Theory of matrices

    Peter Lancaster

  • Surfaces generated by moving least squares methods

    P. Lancaster;K. Salkauskas

  • Algebraic Riccati equations

    Peter Lancaster;L. Rodman

  • Curve and surface fitting : an introduction

    Peter Lancaster;Kestutis Salkauskas

  • The theory of matrices : with applications

    Peter Lancaster;Miron Tismenetsky

  • Lambda-matrices and vibrating systems

    Peter Lancaster

  • Invariant subspaces of matrices with applications

    Israel Gohbert;P Lancaster;L Rodman

  • Curve and surface fitting

    Peter Lancaster

  • Matrices and indefinite scalar products

    Peter Lancaster;Israel Gohberg;L. Rodman

  • On eigenvalues of matrices dependent on a parameter

    P. Lancaster

  • Factorization of selfadjoint matrix polynomials with constant signature

    I. Gohberg;P. Lancaster;L Rodman

  • Explicit Solutions of Linear Matrix Equations

    Peter Lancaster

  • Indefinite Linear Algebra and Applications

    Israel Gohberg;Peter Lancaster;L. Rodman

  • Iterative solution of two matrix equations

    Chun-Hua Guo;Chun-Hua Guo;Peter Lancaster

  • Derivatives of eigenvalues and eigenvectors of matrix functions

    Alan L. Andrew;K.-W. Eric Chu;Peter Lancaster

  • Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence

    Peter Lancaster;Leiba Rodman

  • Existence and uniqueness theorems for the algebraic Riccati equation

    P. Lancaster;L. Rodman

  • Spectral analysis of selfadjoint matrix polynomials

    Israel Gohberg;Peter Lancaster;Leiba Rodman

  • Linearization of matrix polynomials expressed in polynomial bases

    A. Amiraslani;R. M. Corless;P. Lancaster

  • Linear matrix equations from an inverse problem of vibration theory

    Dai Hua;Peter Lancaster

Frequent Co-Authors

Israel Gohberg
Israel Gohberg Tel Aviv University
Marinus A. Kaashoek
Marinus A. Kaashoek Vrije Universiteit Amsterdam
Thomas Kailath
Thomas Kailath Stanford University
Daniel Alpay
Daniel Alpay Chapman University
Robert M. Corless
Robert M. Corless University of Western Ontario
Alfred M. Bruckstein
Alfred M. Bruckstein Technion – Israel Institute of Technology
Joseph A. Ball
Joseph A. Ball Virginia Tech
Santosh Kapuria
Santosh Kapuria Indian Institute of Technology Delhi
Albrecht Böttcher
Albrecht Böttcher Chemnitz University of Technology

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