Peter Lancaster

175 papers receiving 9.9k citations

Peter Lancaster's Hit Papers

Algebraic Riccati Equations 1995 · 968 citations
9680+19+38Years since publication5001k1.5k2k

Peers

Peter Lancaster
Comparison fields: 5 of 138
  • Computational Theory and Mathematics 3.7k
  • Numerical Analysis 517
  • Applied Mathematics 1.3k
  • Mechanics of Materials 1.7k
  • Control and Systems Engineering 1.9k
Replace James Hardy Wilkinson with:
James Hardy Wilkinson United Kingdom
Josef Stoer Germany
Charles A. Micchelli United States
Felix R. Gantmacher United States
Roland Z. Bulirsch Germany
Eberhard Zeidler Germany
Peter J. Olver United States
G. W. Stewart United States
Lloyd N. Trefethen United Kingdom
KENDALL E. ATKINSON United States
Peter Lancaster relative to James Hardy Wilkinson United Kingdom James Hardy Wilkinson's profile →
Citations per field
00.5×2×4×5.5×
James Hardy Wilkinson · 1×
Citations per year

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-authors

The 25 scholars most cited alongside Peter Lancaster, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Peter Lancaster Line = papers co-authored together Peter Lancaster links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 192 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Surfaces Generated by Moving Least Squares Methods
Hit paper breakdown →
19812131
2
Theory of matrices
Hit paper breakdown →
19692042
3
Algebraic Riccati Equations
Hit paper breakdown →
1995968
4
Curve and surface fitting : an introduction
Hit paper breakdown →
1986636
5
The theory of matrices : with applications
1985592
6
Curve and surface fitting
1986299
7 1964224
8 1982216
9 1970210
10 2005180
11 2006177
12 1999129
13 1993122
14 198098
15 200598
16 200984
17 199681
18 200876
19 198674
20 197872

About Peter Lancaster

Peter Lancaster is a scholar working on Computational Theory and Mathematics, Mathematical Physics, Applied Mathematics, Control and Systems Engineering and Numerical Analysis, having authored 192 papers that have together received 11k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (127 papers), Spectral Theory in Mathematical Physics (39 papers), Holomorphic and Operator Theory (36 papers), Mathematical functions and polynomials (14 papers), Vibration and Dynamic Analysis (12 papers), Stability and Controllability of Differential Equations (10 papers), Advanced Control Systems Design (9 papers) and Control and Stability of Dynamical Systems (8 papers). The work is most often cited by research in Computational Theory and Mathematics (3.7k citations), Numerical Analysis (517 citations), Applied Mathematics (1.3k citations), Mechanics of Materials (1.7k citations) and Control and Systems Engineering (1.9k citations). Peter Lancaster has collaborated with scholars based in Canada, Israel and United States. Frequent co-authors include K. Šalkauskas, Leiba Rodman, Israel Gohberg, Miron Tismenetsky, Chun‐Hua Guo, Hua Dai, Qiang Ye, Uwe Prells, I. Koltracht and Alan L Andrew. Their work appears in journals such as Linear Algebra and its Applications, Integral Equations and Operator Theory, SIAM Journal on Matrix Analysis and Applications, Numerische Mathematik and Mathematics of Computation.

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.

Explore authors with similar magnitude of impact