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

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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