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Rajendra Bhatia

Rajendra Bhatia

D-Index & Metrics

Mathematics

D-Index
39
Citations
14363
World Ranking
2118
National Ranking
24

Overview

Rajendra Bhatia is affiliated with Ashoka University in India and is active in research spanning mathematics and computer science. Their scholarly work focuses on various subfields, including applied mathematics, computational theory and mathematics, geometry and topology, statistics and probability, and mathematical physics.

The scientist's research prominently addresses a range of mathematical topics. These include matrix theory and algorithms, mathematical inequalities and applications, graph theory and applications, random matrices and applications, spectral theory in mathematical physics, algebraic and geometric analysis, and point processes and geometric inequalities.

Rajendra Bhatia has contributed to numerous papers published in diverse academic venues. Recent papers include:

  • "Variational principles for symplectic eigenvalues," 2020, Canadian Mathematical Bulletin
  • "Inertia of Kwong matrices," 2024, Journal of Spectral Theory
  • "A Schur-Horn theorem for symplectic eigenvalues," 2020, Linear Algebra and its Applications
  • "Eigenvalues and diagonal elements," 2022, Indian Journal of Pure and Applied Mathematics
  • "The numerical radius and positivity of block matrices," 2022, Linear Algebra and its Applications

Frequent publication venues for Rajendra Bhatia's work include:

  • arXiv (Cornell University)
  • Linear Algebra and its Applications
  • Indian Journal of Pure and Applied Mathematics
  • Resonance
  • Canadian Mathematical Bulletin

Collaborative work is part of Rajendra Bhatia's profile, involving several co-authors with whom multiple papers have been published. Frequent co-authors are:

  • Tanvi Jain
  • Rajesh Kumar Sharma
  • Rajesh Sharma

Rajendra Bhatia's contributions span 24 publications within mathematics and 9 publications within computer science, reflecting interdisciplinary engagement. Within mathematics, 11 publications focus on applied mathematics, and 9 are linked to computational theory and mathematics. Other notable counts include 7 in geometry and topology, 2 in statistics and probability, and 2 in mathematical physics.

Best Publications

  • Matrix Analysis

    Rajendra Bhatia

  • Positive Definite Matrices

    Rajendra Bhatia

  • Riemannian geometry for EEG-based brain-computer interfaces; a primer and a review

    Marco Congedo;Alexandre Barachant;Rajendra Bhatia

  • How and Why to Solve the Operator Equation AX−XB = Y

    Rajendra Bhatia;Peter Rosenthal

  • Perturbation Bounds for Matrix Eigenvalues

    R. Bhatia

  • Riemannian geometry and matrix geometric means

    Rajendra Bhatia;John Holbrook

  • More matrix forms of the arithmetic-geometric mean inequality

    Rajendra Bhatia;Chandler Davis

  • A better bound on the variance

    Rajendra Bhatia;Chandler Davis

  • On the singular values of a product of operators

    Rajendra Bhatia;Fuad Kittaneh

  • On the Bures–Wasserstein distance between positive definite matrices

    Rajendra Bhatia;Tanvi Jain;Yongdo Lim

  • Notes on matrix arithmetic–geometric mean inequalities

    Rajendra Bhatia;Fuad Kittaneh

  • Matrix Information Geometry

    Frank Nielsen;Rajendra Bhatia

  • Perturbation of spectral subspaces and solution of linear operator equations

    Rajendra Bhatia;Chandler Davis;Alan McIntosh

  • Orthogonality of matrices and some distance problems

    Rajendra Bhatia;Peter Šemrl

  • A CAUCHY-SCHWARZ INEQUALITY FOR OPERATORS WITH APPLICATIONS

    Rajendra Bhatia;Chandler Davis

  • Infinitely Divisible Matrices

    Rajendra Bhatia

  • The matrix arithmetic-geometric mean inequality revisited

    Rajendra Bhatia;Fuad Kittaneh

  • Positive definite functions and operator inequalities

    Rajendra Bhatia;K. R. Parthasarathy

  • On the exponential metric increasing property

    Rajendra Bhatia

  • Interpolating the arithmetic-geometric mean inequality and its operator version

    Rajendra Bhatia

Frequent Co-Authors

Fuad Kittaneh
Fuad Kittaneh University of Jordan
Peter Šemrl
Peter Šemrl University of Ljubljana
Shmuel Friedland
Shmuel Friedland University of Illinois at Chicago
Stéphane Gaubert
Stéphane Gaubert École Polytechnique
Roger A. Horn
Roger A. Horn University of Utah
Marco Congedo
Marco Congedo Centre national de la recherche scientifique, CNRS
Martin Golubitsky
Martin Golubitsky The Ohio State University
Henry Wolkowicz
Henry Wolkowicz University of Waterloo
Frank Nielsen
Frank Nielsen Sony Computer Science Laboratories
Béla Bollobás
Béla Bollobás University of Memphis

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