Rajendra Bhatia

17.0k total citations · 3 hit papers
81 papers, 6.0k citations indexed

About

Rajendra Bhatia is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Rajendra Bhatia has authored 81 papers receiving a total of 6.0k indexed citations (citations by other indexed papers that have themselves been cited), including 59 papers in Computational Theory and Mathematics, 54 papers in Applied Mathematics and 21 papers in Mathematical Physics. Recurrent topics in Rajendra Bhatia's work include Matrix Theory and Algorithms (57 papers), Mathematical Inequalities and Applications (41 papers) and Holomorphic and Operator Theory (17 papers). Rajendra Bhatia is often cited by papers focused on Matrix Theory and Algorithms (57 papers), Mathematical Inequalities and Applications (41 papers) and Holomorphic and Operator Theory (17 papers). Rajendra Bhatia collaborates with scholars based in India, Canada and Jordan. Rajendra Bhatia's co-authors include Fuad Kıttaneh, Chandler Davis, John Holbrook, K. R. Parthasarathy, Peter Šemrl, Alan McIntosh, Rajeeva L. Karandikar, Hideki Kosaki, Kalyan B. Sinha and A. R. Sourour and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Rajendra Bhatia

77 papers receiving 5.4k citations

Hit Papers

Matrix Analysis 1996 2026 2006 2016 1996 1997 2009 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. Matrix Analysis
    1996 1.8k citations Rajendra Bhatia profile →
  2. Matrix Analysis
    1997 1.5k citations Rajendra Bhatia profile →
  3. Positive Definite Matrices
    2009 647 citations Rajendra Bhatia Princeton University Press eBooks profile →

Peers

Rajendra Bhatia
Charles A. Micchelli United States
W. J. Thron United States
Chi-Kwong Li United States
Edward B. Saff United States
Richard Askey United States
Gerald B. Folland United States
G. A. Garreau United Kingdom
T. J. Rivlin United States
Gábor Szegő United States
Fumio Hiai Japan
Charles A. Micchelli United States
Rajendra Bhatia
Citations per year, relative to Rajendra Bhatia Rajendra Bhatia (= 1×) peers Charles A. Micchelli

Countries citing papers authored by Rajendra Bhatia

Since Specialization
Citations

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

Fields of papers citing papers by Rajendra Bhatia

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Rajendra Bhatia

This figure shows the co-authorship network connecting the top 25 collaborators of Rajendra Bhatia. A scholar is included among the top collaborators of Rajendra Bhatia 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 Rajendra Bhatia. Rajendra Bhatia 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.
Bhatia, Rajendra & Marco Congedo. (2018). Procrustes problems in Riemannian manifolds of positive definite matrices. Linear Algebra and its Applications. 563. 440–445. 6 indexed citations
2.
Bhatia, Rajendra, Yongdo Lim, & Takeaki Yamazaki. (2016). Some norm inequalities for matrix means. Linear Algebra and its Applications. 501. 112–122. 21 indexed citations
3.
Bhatia, Rajendra, et al.. (2015). Inertia of the matrix $[(p_i+p_j)^r]$. Journal of Spectral Theory. 5(1). 71–87. 9 indexed citations
4.
Bhatia, Rajendra. (2015). The Future of Mathematics Publishing. Current Science. 108(3). 322–325. 2 indexed citations
5.
Bhatia, Rajendra, et al.. (2014). Positive Linear Maps and Spreads of Matrices. American Mathematical Monthly. 121(7). 619–624. 14 indexed citations
6.
Bhatia, Rajendra. (2009). Positive Definite Matrices. Princeton University Press eBooks. 647 indexed citations breakdown →
7.
Bhatia, Rajendra & Fuad Kıttaneh. (2009). The singular values of A+B and A+iB. Linear Algebra and its Applications. 431(9). 1502–1508. 13 indexed citations
8.
Bhatia, Rajendra, et al.. (2009). Higher order derivatives and perturbation bounds for determinants. Linear Algebra and its Applications. 431(11). 2102–2108. 13 indexed citations
9.
Bhatia, Rajendra & Fuad Kıttaneh. (2008). The matrix arithmetic–geometric mean inequality revisited. Linear Algebra and its Applications. 428(8-9). 2177–2191. 54 indexed citations
10.
Bhatia, Rajendra. (2007). Perturbation Bounds for Matrix Eigenvalues (Classics in Applied Mathematics). Society for Industrial and Applied Mathematics eBooks. 4 indexed citations
11.
Bhatia, Rajendra & Hideki Kosaki. (2006). Mean matrices and infinite divisibility. Linear Algebra and its Applications. 424(1). 36–54. 39 indexed citations
12.
Bhatia, Rajendra & John Holbrook. (2005). Riemannian geometry and matrix geometric means. Linear Algebra and its Applications. 413(2-3). 594–618. 162 indexed citations
13.
Bhatia, Rajendra & Chandler Davis. (2001). A key inequality for functions of matrices. Linear Algebra and its Applications. 323(1-3). 1–5. 3 indexed citations
14.
Bhatia, Rajendra & Tirthankar Bhattacharyya. (1993). A Henrici Theorem for Joint Spectra of Commuting Matrices. Proceedings of the American Mathematical Society. 118(1). 5–5. 1 indexed citations
15.
Bhatia, Rajendra & Tirthankar Bhattacharyya. (1993). A Henrici theorem for joint spectra of commuting matrices. Proceedings of the American Mathematical Society. 118(1). 5–14. 5 indexed citations
16.
Bhatia, Rajendra & Chandler Davis. (1985). Concavity of certain functions of matrices. Linear and Multilinear Algebra. 17(2). 155–164. 2 indexed citations
17.
Bhatia, Rajendra & John Holbrook. (1985). Short normal paths and spectral variation. Proceedings of the American Mathematical Society. 94(3). 377–382. 17 indexed citations
18.
Bhatia, Rajendra, Chandler Davis, & Alan McIntosh. (1983). Perturbation of spectral subspaces and solution of linear operator equations. Linear Algebra and its Applications. 52-53. 45–67. 89 indexed citations
19.
Bhatia, Rajendra. (1982). Analysis of Spectral Variation and Some Inequalities. Transactions of the American Mathematical Society. 272(1). 323–323. 8 indexed citations
20.
Bhatia, Rajendra. (1982). Analysis of spectral variation and some inequalities. Transactions of the American Mathematical Society. 272(1). 323–323. 23 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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