Peter Lancaster

14.8k citations
184 papers · 10.3k · 5 hit papers · h-index 37

Impact in

Papers in

Peter Lancaster

173 papers receiving 9.2k citations

Peter Lancaster's Hit Papers

Algebraic Riccati Equations 1995 · 865 citations
8650+19+38Years since publication50010001.5k

Peers

Peter Lancaster
Comparison fields: 5 of 164
  • Numerical Analysis 2.2k
  • Computational Theory and Mathematics 3.8k
  • Computational Mathematics 101
  • Algebra and Number Theory 537
  • Statistical and Nonlinear Physics 1.3k
Replace Werner C. Rheinboldt with:
Werner C. Rheinboldt United States
J. H. Wilkinson United Kingdom
Richard S. Varga United States
Gilbert Strang United States
G. W. Stewart United States
Charles A. Micchelli United States
Lloyd N. Trefethen United Kingdom
Felix R. Gantmacher United States
Israel Gohberg Israel
James H. Bramble United States
Peter Lancaster relative to Werner C. Rheinboldt United States Werner C. Rheinboldt's profile →
Citations per field
00.5×1.5×
Werner C. Rheinboldt · 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 184 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Surfaces generated by moving least squares methods
Hit paper breakdown →
19811985
2
Theory of matrices
Hit paper breakdown →
19691951
3
Algebraic Riccati Equations
Hit paper breakdown →
1995865
4
Curve and surface fitting : an introduction
Hit paper breakdown →
1986611
5
The theory of matrices : with applications
Hit paper breakdown →
1985560
6
Curve and surface fitting
1986278
7 1970205
8 1964204
9 1982181
10 2005168
11 2006164
12 1999126
13 1993109
14 1973102
15 200587
16 198084
17 199678
18 197871
19 198671
20 200869

About Peter Lancaster

Peter Lancaster is a scholar working on Computational Theory and Mathematics, Numerical Analysis, Mathematical Physics, Applied Mathematics and Mechanics of Materials, having authored 184 papers that have together received 10.3k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (100 papers), Numerical methods for differential equations (26 papers), Spectral Theory in Mathematical Physics (24 papers), Advanced Topics in Algebra (21 papers), Advanced Optimization Algorithms Research (15 papers), Metallurgy and Material Forming (12 papers), Elasticity and Wave Propagation (12 papers) and Electromagnetic Scattering and Analysis (11 papers). The work is most often cited by research in Numerical Analysis (2.2k citations), Computational Theory and Mathematics (3.8k citations), Computational Mathematics (101 citations), Algebra and Number Theory (537 citations) and Statistical and Nonlinear Physics (1.3k citations). Peter Lancaster has collaborated with scholars based in Canada, Israel and United States. Frequent 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. Their work appears in journals such as Linear Algebra and its Applications, Integral Equations and Operator Theory, SIAM Journal on Matrix Analysis and Applications, International Journal of Mechanical Sciences and Numerische Mathematik.

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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