Philip A. Knight

1.0k total citations · 1 hit paper
18 papers, 500 citations indexed

About

Philip A. Knight is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Computer Networks and Communications. According to data from OpenAlex, Philip A. Knight has authored 18 papers receiving a total of 500 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Computational Theory and Mathematics, 5 papers in Numerical Analysis and 3 papers in Computer Networks and Communications. Recurrent topics in Philip A. Knight's work include Matrix Theory and Algorithms (5 papers), Iterative Methods for Nonlinear Equations (3 papers) and Complex Network Analysis Techniques (3 papers). Philip A. Knight is often cited by papers focused on Matrix Theory and Algorithms (5 papers), Iterative Methods for Nonlinear Equations (3 papers) and Complex Network Analysis Techniques (3 papers). Philip A. Knight collaborates with scholars based in United Kingdom, France and Sweden. Philip A. Knight's co-authors include Daniel Ruiz, Ernesto Estrada, Nicholas J. Higham, Michael Grinfeld, Bora Uçar, Harbir Lamba, Pedro Freitas, Kerem Akartunalı, Alex Duffy and Robert Ian Whitfield and has published in prestigious journals such as Annals of Operations Research, Journal of Computational and Applied Mathematics and Linear Algebra and its Applications.

In The Last Decade

Philip A. Knight

17 papers receiving 483 citations

Hit Papers

align trajectories

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.

A fast algorithm for matrix balancing

2012 273 citations Philip A. Knight, Daniel Ruiz IMA Journal of Numerical Analysis profile →

Peers

Countries citing papers authored by Philip A. Knight

Since Specialization

Citations

This map shows the geographic impact of Philip A. Knight'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 Philip A. Knight with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Philip A. Knight more than expected).

Fields of papers citing papers by Philip A. Knight

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Philip A. Knight. 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 Philip A. Knight. The network helps show where Philip A. Knight may publish in the future.

Co-authorship network of co-authors of Philip A. Knight

This figure shows the co-authorship network connecting the top 25 collaborators of Philip A. Knight. A scholar is included among the top collaborators of Philip A. Knight 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 Philip A. Knight. Philip A. Knight is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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18 of 18 papers shown

#	Work	Indexed citations
1	Learning network embeddings using small graphlets 2021 ·Social Network Analysis and Mining ·(unknown), Philip A. Knight, (unknown)	1
2	A network tool to analyse and improve robustness of system architectures 2020 ·Design Science ·(unknown), Alex Duffy, Robert Ian Whitfield, Philip A. Knight, (unknown)	6
3	A Simple Embedding for Classifying Networks with a few Graphlets 2020 ·(unknown), Philip A. Knight	1
4	A network science-based assessment methodology for robust modular system architectures during early conceptual design 2019 ·Journal of Engineering Design ·(unknown), Alex Duffy, Robert Ian Whitfield, Philip A. Knight, (unknown)	9
5	Network models and biproportional rounding for fair seat allocations in the UK elections 2016 ·Annals of Operations Research ·Kerem Akartunalı, Philip A. Knight	5
6	A First Course in Network Theory 2015 ·CERN Bulletin ·Ernesto Estrada, Philip A. Knight	86
7	A Symmetry Preserving Algorithm for Matrix Scaling 2014 ·SIAM Journal on Matrix Analysis and Applications ·Philip A. Knight, Daniel Ruiz, Bora Uçar	31
8	A fast algorithm for matrix balancing breakdown → 2012 ·IMA Journal of Numerical Analysis ·Philip A. Knight, Daniel Ruiz	273
9	Bak-Sneppen-type models and rank-driven processes 2011 ·Physical Review E ·Michael Grinfeld, Philip A. Knight, Andrew R. Wade	3
10	The Sinkhorn–Knopp Algorithm: Convergence and Applications 2008 ·SIAM Journal on Matrix Analysis and Applications ·Philip A. Knight	2
11	A Fast Algorithm for Matrix Balancing 2007 ·Strathprints: The University of Strathclyde institutional repository (University of Strathclyde) ·Philip A. Knight, (unknown)	1
12	The Hertz contact problem, coupled Volterra integral equations and a linear complementarity problem 2006 ·Journal of Computational and Applied Mathematics ·Alain Gauthier, Philip A. Knight, S. McKee	7
13	Weak lumpability in the k-SAT problem 2000 ·Applied Mathematics Letters ·Michael Grinfeld, Philip A. Knight	5
14	Stability of finite-dimensional systems with indefinite damping 1997 ·Pedro Freitas, Michael Grinfeld, Philip A. Knight	13
15	On the periodically perturbed logistic equation 1996 ·Journal of Physics A Mathematical and General ·Michael Grinfeld, Philip A. Knight, Harbir Lamba	14
16	Matrix Powers in Finite Precision Arithmetic 1995 ·SIAM Journal on Matrix Analysis and Applications ·Nicholas J. Higham, Philip A. Knight	15
17	Fast rectangular matrix multiplication and QR decomposition 1995 ·Linear Algebra and its Applications ·Philip A. Knight	11
18	Finite precision behavior of stationary iteration for solving singular systems 1993 ·Linear Algebra and its Applications ·Nicholas J. Higham, Philip A. Knight	17

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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