John Holbrook

1.2k total citations
58 papers, 762 citations indexed

About

John Holbrook is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, John Holbrook has authored 58 papers receiving a total of 762 indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Computational Theory and Mathematics, 26 papers in Applied Mathematics and 15 papers in Mathematical Physics. Recurrent topics in John Holbrook's work include Matrix Theory and Algorithms (28 papers), Holomorphic and Operator Theory (12 papers) and Advanced Topics in Algebra (11 papers). John Holbrook is often cited by papers focused on Matrix Theory and Algorithms (28 papers), Holomorphic and Operator Theory (12 papers) and Advanced Topics in Algebra (11 papers). John Holbrook collaborates with scholars based in Canada, United States and India. John Holbrook's co-authors include Rajendra Bhatia, M. Douglas LeVan, David W. Kribs, Rajendra Bhatia, C. K. Fong, Man-Duen Choi, Karol Życzkowski, Ken Gerow, Raymond Laflamme and Kenneth R. Davidson and has published in prestigious journals such as Biochemical and Biophysical Research Communications, Journal of Colloid and Interface Science and Transactions of the American Mathematical Society.

In The Last Decade

John Holbrook

56 papers receiving 682 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
John Holbrook Canada	15	338	297	164	124	101	58	762
E. B. Saff United States	14	499 1.5×	150 0.5×	88 0.5×	79 0.6×	133 1.3×	58	782
Lee Lorch Canada	14	453 1.3×	91 0.3×	112 0.7×	55 0.4×	79 0.8×	65	653
Mitsuru Nakai Japan	18	658 1.9×	359 1.2×	455 2.8×	104 0.8×	427 4.2×	155	1.1k
Francesco G. Tricomi Italy	8	188 0.6×	79 0.3×	85 0.5×	46 0.4×	48 0.5×	23	569
Isaac Chavel United States	15	751 2.2×	230 0.8×	370 2.3×	36 0.3×	443 4.4×	33	1.1k
Dieter Gaier Germany	16	738 2.2×	219 0.7×	201 1.2×	50 0.4×	437 4.3×	63	1.2k
Roberto Conti Italy	14	431 1.3×	135 0.5×	269 1.6×	169 1.4×	357 3.5×	82	1.1k
Herbert Busemann United States	14	564 1.7×	174 0.6×	211 1.3×	86 0.7×	437 4.3×	38	1.1k
Constantin Carathéodory	4	175 0.5×	97 0.3×	92 0.6×	27 0.2×	140 1.4×	7	599
Yu. M. Berezansky Ukraine	10	183 0.5×	97 0.3×	230 1.4×	27 0.2×	45 0.4×	26	537

Countries citing papers authored by John Holbrook

Since Specialization

Citations

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

Fields of papers citing papers by John Holbrook

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by John Holbrook. 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 John Holbrook. The network helps show where John Holbrook may publish in the future.

Co-authorship network of co-authors of John Holbrook

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

All Works

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20 of 20 papers shown

Holbrook, John, et al.. (2015). Bounds on polygons of higher rank numerical ranges. Linear Algebra and its Applications. 474. 230–242. 1 indexed citations

Holbrook, John & K.C. O’Meara. (2014). Some thoughts on Gerstenhaber's theorem. Linear Algebra and its Applications. 466. 267–295. 3 indexed citations

Holbrook, John, et al.. (2006). Moving zeros among matrices. Linear Algebra and its Applications. 424(1). 83–95. 3 indexed citations

Bhatia, Rajendra & John Holbrook. (2005). Riemannian geometry and matrix geometric means. Linear Algebra and its Applications. 413(2-3). 594–618. 162 indexed citations

Holbrook, John, et al.. (2005). Optimal measures for Toeplitz matrices. Linear Algebra and its Applications. 402. 319–334. 2 indexed citations

Holbrook, John & Matjaž Omladič. (2001). Approximating commuting operators. Linear Algebra and its Applications. 327(1-3). 131–149. 13 indexed citations

Holbrook, John. (1995). Interpenetration of ellipsoids and the polynomial bound of a matrix. Linear Algebra and its Applications. 229. 151–166. 2 indexed citations

Holbrook, John. (1992). Spectral variation of normal matrices. Linear Algebra and its Applications. 174. 131–144. 13 indexed citations

Bhatia, Rajendra & John Holbrook. (1987). Unitary invariance and spectral variation. Linear Algebra and its Applications. 95. 43–68. 13 indexed citations

10.

Bhatia, Rajendra & John Holbrook. (1985). Short Normal Paths and Spectral Variation. Proceedings of the American Mathematical Society. 94(3). 377–377. 4 indexed citations

11.

Bhatia, Rajendra & John Holbrook. (1985). Short normal paths and spectral variation. Proceedings of the American Mathematical Society. 94(3). 377–382. 17 indexed citations

12.

Fong, C. K. & John Holbrook. (1983). Unitarily Invariant Operator Norms. Canadian Journal of Mathematics. 35(2). 274–299. 35 indexed citations

13.

Holbrook, John. (1982). Polynomials in a matrix and its commutant. Linear Algebra and its Applications. 48. 293–301. 10 indexed citations

14.

Fischer, Paul & John Holbrook. (1980). Balayage defined by the nonnegative convex functions. Proceedings of the American Mathematical Society. 79(3). 445–448. 7 indexed citations

15.

Holbrook, John. (1978). Distortion coefficients for crypto-unitary operators. Linear Algebra and its Applications. 19(3). 189–205. 2 indexed citations

16.

Holbrook, John. (1977). Distortion coefficients for cryptocontractions. Linear Algebra and its Applications. 18(3). 229–256. 6 indexed citations

17.

Holbrook, John. (1971). The iterates of a contraction and its adjoint. Proceedings of the American Mathematical Society. 29(3). 543–546. 2 indexed citations

18.

Holbrook, John. (1971). The Iterates of a Contraction and its Adjoint. Proceedings of the American Mathematical Society. 29(3). 543–543. 1 indexed citations

19.

Holbrook, John. (1968). Seminorms and the Egoroff property in Riesz spaces. Transactions of the American Mathematical Society. 132(1). 67–77. 6 indexed citations

20.

Holbrook, John. (1968). Seminorms and the Egoroff Property in Riesz Spaces. Transactions of the American Mathematical Society. 132(1). 67–67. 5 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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