Peter Lancaster

14.7k total citations · 5 hit papers
184 papers, 10.3k citations indexed

About

Peter Lancaster is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Mathematical Physics. According to data from OpenAlex, Peter Lancaster has authored 184 papers receiving a total of 10.3k indexed citations (citations by other indexed papers that have themselves been cited), including 107 papers in Computational Theory and Mathematics, 48 papers in Numerical Analysis and 37 papers in Mathematical Physics. Recurrent topics in Peter Lancaster's work include Matrix Theory and Algorithms (100 papers), Numerical methods for differential equations (26 papers) and Spectral Theory in Mathematical Physics (24 papers). Peter Lancaster is often cited by papers focused on Matrix Theory and Algorithms (100 papers), Numerical methods for differential equations (26 papers) and Spectral Theory in Mathematical Physics (24 papers). Peter Lancaster collaborates with scholars based in Canada, Israel and United States. Peter Lancaster's co-authors include K. Šalkauskas, Leiba Rodman, Israel Gohberg, M. Tismenetsky, Chun‐Hua Guo, Hua Dai, Alan Andrew, Uwe Prells, Panayiotis Psarrakos and I. Koltracht and has published in prestigious journals such as Communications of the ACM, Journal of Applied Mechanics and Mathematics of Computation.

In The Last Decade

Peter Lancaster

173 papers receiving 9.2k citations

Hit Papers

Surfaces generated by mov... 1969 2026 1988 2007 1981 1969 1995 1986 1985 500 1000 1.5k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Surfaces generated by moving least squares methods
    1981 2.0k citations Peter Lancaster, K. Šalkauskas Mathematics of Computation profile →
  2. Theory of matrices
    1969 2.0k citations Peter Lancaster profile →
  3. Algebraic Riccati Equations
    1995 864 citations Peter Lancaster, Leiba Rodman profile →
  4. Curve and surface fitting : an introduction
    1986 611 citations Peter Lancaster, K. Šalkauskas CERN Document Server (European Organization for Nuclear Research) profile →
  5. The theory of matrices : with applications
    1985 559 citations Peter Lancaster, M. Tismenetsky Academic Press eBooks profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Peter Lancaster 3.8k 2.2k 2.2k 1.6k 1.5k 184 10.3k
C Moler 2.9k 0.8× 788 0.4× 1.9k 0.9× 1.2k 0.8× 1.8k 1.1× 60 11.5k
Gilbert Strang 3.0k 0.8× 3.0k 1.4× 2.0k 0.9× 1.4k 0.8× 5.0k 3.2× 185 18.6k
J. H. Wilkinson 5.9k 1.6× 779 0.4× 3.2k 1.5× 1.4k 0.9× 1.7k 1.1× 96 13.0k
Werner C. Rheinboldt 5.3k 1.4× 1.9k 0.9× 5.7k 2.6× 1.4k 0.8× 4.4k 2.8× 132 15.7k
Herbert B. Keller 2.0k 0.5× 1.1k 0.5× 2.6k 1.2× 835 0.5× 3.6k 2.4× 130 9.9k
Max Gunzburger 3.4k 0.9× 3.5k 1.6× 1.8k 0.8× 1.0k 0.6× 7.9k 5.1× 333 14.9k
L. F. Shampine 1.8k 0.5× 741 0.3× 3.8k 1.8× 1.5k 0.9× 3.1k 2.0× 187 12.5k
Josef Stoer 2.4k 0.6× 536 0.2× 2.4k 1.1× 859 0.5× 1.6k 1.0× 77 9.0k
Kazufumi Ito 2.1k 0.6× 1.1k 0.5× 1.3k 0.6× 1.5k 0.9× 3.0k 2.0× 248 7.9k
Qiang Du 2.2k 0.6× 2.8k 1.3× 2.2k 1.0× 535 0.3× 4.9k 3.1× 351 13.3k

Countries citing papers authored by Peter Lancaster

Since Specialization
Citations

This map shows the geographic impact of Peter Lancaster's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter Lancaster with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Lancaster more than expected).

Fields of papers citing papers by Peter Lancaster

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter Lancaster. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter Lancaster. The network helps show where Peter Lancaster may publish in the future.

Co-authorship network of co-authors of Peter Lancaster

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Lancaster. A scholar is included among the top collaborators of Peter Lancaster based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Peter Lancaster. Peter Lancaster is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Lancaster, Peter. (2013). Stability of linear gyroscopic systems: A review. Linear Algebra and its Applications. 439(3). 686–706. 33 indexed citations
2.
Gohberg, Israel, Peter Lancaster, & Leiba Rodman. (2006). Invariant Subspaces of Matrices with Applications (Classics in Applied Mathematics, 51). Society for Industrial and Applied Mathematics eBooks. 15 indexed citations
3.
Lian, Kuang‐Yow, et al.. (2006). A stabilization criterion for matrices. Linear Algebra and its Applications. 422(1). 22–28. 3 indexed citations
4.
Ahmed, Imtiaz, et al.. (2002). Methods of application and bonding strengths of thermoplastic pavement markings on concrete and asphalt roadway surfaces: technical note. 1(3). 2 indexed citations
5.
Gohberg, Israel, Heinz Langer, & Peter Lancaster. (2002). Linear operators and matrices : the Peter Lancaster anniversary volume. CERN Document Server (European Organization for Nuclear Research). 2 indexed citations
6.
Guo, Chun‐Hua & Peter Lancaster. (1999). Iterative solution of two matrix equations. Mathematics of Computation. 68(228). 1589–1603. 128 indexed citations
7.
Lancaster, Peter, et al.. (1998). Linearizations, realization, and scalar products for regular matrix polynomials. Linear Algebra and its Applications. 272(1-3). 45–57. 2 indexed citations
8.
Lancaster, Peter, et al.. (1997). The order of neutrality for linear operators on inner product spaces. Linear Algebra and its Applications. 259. 25–29. 2 indexed citations
9.
Dai, Hua & Peter Lancaster. (1996). Linear matrix equations from an inverse problem of vibration theory. Linear Algebra and its Applications. 246. 31–47. 78 indexed citations
10.
Lancaster, Peter, et al.. (1991). Spectral properties of diagonally dominant infinite matrices. II. Linear Algebra and its Applications. 143. 7–17. 7 indexed citations
11.
Koltracht, I. & Peter Lancaster. (1988). Threshold algorithms for the prediction of reflection coefficients in a layered medium. Geophysics. 53(7). 908–919. 14 indexed citations
12.
Koltracht, I. & Peter Lancaster. (1988). Generalized Schur parameters and the effects of perturbations. Linear Algebra and its Applications. 105. 109–129. 1 indexed citations
13.
Gohberg, Israel, T. Kailath, I. Koltracht, & Peter Lancaster. (1987). Linear complexity parallel algorithms for linear systems of equations with recursive structure. Linear Algebra and its Applications. 88-89. 271–315. 46 indexed citations
14.
Lancaster, Peter & K. Šalkauskas. (1986). Curve and surface fitting : an introduction. CERN Document Server (European Organization for Nuclear Research). 611 indexed citations breakdown →
15.
Lancaster, Peter & M. Tismenetsky. (1985). The theory of matrices : with applications. Academic Press eBooks. 559 indexed citations breakdown →
16.
Lancaster, Peter & K. Šalkauskas. (1981). Surfaces generated by moving least squares methods. Mathematics of Computation. 37(155). 141–158. 1973 indexed citations breakdown →
17.
Lancaster, Peter. (1977). A fundamental theorem on lambda-matrices with applications —I. Ordinary differential equations with constant coefficients. Linear Algebra and its Applications. 18(3). 189–211. 18 indexed citations
18.
Lancaster, Peter, et al.. (1974). Square roots of complex matrices. Linear and Multilinear Algebra. 1(4). 289–293. 49 indexed citations
19.
Lancaster, Peter. (1964). Convergence of the Newton-Raphson Method For Arbitary Polynomials. The Mathematical Gazette. 48(365). 291–295. 6 indexed citations
20.
Lancaster, Peter. (1963). Some applications of the Newton—Raphson method to non-linear matrix problems. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 271(1346). 324–331. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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