Peter Lancaster

Peter Lancaster (* 1929 ) is a British mathematician.

Life

Lancaster studied mathematics at the University of Liverpool with a bachelor's degree in 1952. He then worked for five years as a mathematician in the aviation industry (Warton Aerodrome, which was part of a predecessor company of British Aerospace), where he dealt with vibration problems in aircraft with extensive numerical Application of linear algebra before he accepted a teaching position at the National University of Singapore in 1957 (where the mathematics faculty was headed by Richard Kenneth Guy ), where he received his PhD in 1964 under Daniel Pedoe (Lambda-Matrices and Vibrating Systems). In 1961 he attended the first Gatlinburg Symposium on numerical algebra. From 1962 he taught at the University of Calgary , where he was head of the mathematics faculty from 1973 to 1977 and retired in 1994. He then did research at the University of Manchester and Nottingham, among others.

Lancaster dealt with quadratic eigenvalue problems and their inversion, spectrum and factorization theory of matrix-valued functions, algebraic Riccati equations, eigenvalue problems in spaces with indefinite scalar product, analytical perturbation theory, numerical value range and pseudospectra of matrix-valued functions. He wrote a book on the application of linear algebra to vibration problems and a book on matrix theory, which was influenced by the works of Felix Ruwimowitsch Gantmacher and translated into Russian. Lancaster worked with Israel Gohberg and published three books with him and Leiba Rodman.

In 1991 he received the Jeffery Williams Prize and in 2004 the Hans Schneider Prize . He was President of the Canadian Mathematical Society, was Vice President of the Canadian Applied and Industrial Mathematics Society, and was a founding member of the International Linear Algebra Society. In 2000 he was in Darmstadt with a Humboldt Research Prize.

literature

• Special Issue in Honor of Peter Lancaster: Linear Algebra and its Applications, Volume 385, 2004, pp. 1-476 (H. Bart, I. Koltracht, A. Markus, L. Rodman eds.)
• Israel Gohberg, Heinz Langer (Eds.), Linear Operators and Matrices. The Peter Lancaster Anniversary Volume, Operator Theory, Advances and Applications, Volume 130, Birkhäuser 2002
• Interview with Nicholas J. Higman, University of Manchester 2005, Numerical Analysis Report 468, University of Manchester

Fonts

• Lambda Matrices and Vibrating Systems, Pergamon Press 1966, Dover 2002
• Theory of Matrices: with applications, Academic Press 1969, 2nd edition 1985 with Miron Tismenetsky
• Mathematics: models of the real world, Prentice-Hall 1976
• with Gohberg, Leiba Rodman : Invariant Subspaces of Matrices with Applications, Wiley 1986, 2nd edition, SIAM Classics in Applied Mathematics 2006
• with Gohberg, Rodman: Matrices and indefinite scalar products, 1982, Birkhäuser 2005
• with Gohberg, Rodman: Matrix Polynomials, Academic Press 1982
• with Rodman: Algebraic Riccati Equations, Oxford University Press 1995
• with Gohberg, Rodman: Spectral analysis of self-adjoint matrix polynomials, Annals of Mathematics, Volume 112, 1980, pp. 33-71
• with Rodman: Existence and uniqueness theorems for the algebraic Riccati equation, Internat. J. Control, Vol. 32, 1980, pp. 285-309
• with Kes Salkauskas: Transform methods in applied mathematics: an introduction, Wiley 1996
• with Kes Salkauskas: Curve and Surface Fitting, Academic Press 1986
• Lectures on Linear Algebra, Control and Stability, University of Calgary 1999

Web links

• Biography, University of Calgary

Individual evidence

1. ↑ Peter Lancaster in the Mathematics Genealogy Project (English)