Bhatia, Rajendra

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 Author ID: bhatia.rajendra Published as: Bhatia, Rajendra; Bhatia, R. External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
 Documents Indexed: 150 Publications since 1978, including 11 Books 18 Contributions as Editor · 2 Further Contributions Biographic References: 2 Publications Co-Authors: 57 Co-Authors with 126 Joint Publications 1,932 Co-Co-Authors
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Co-Authors

 43 single-authored 18 Jain, Tanvi 16 Kittaneh, Fuad 13 Davis, Chandler 11 Elsner, Ludwig F. 7 Holbrook, John A. R. 6 Bhatt, Abhay G. 6 Pal, Arup Kumar 6 Parthasarathy, Kalyanapuram Rangachari 6 Šemrl, Peter 6 Srinivas, Vasudevan 6 Vanninathan, Muthusamy 5 Li, Rencang 4 Bhattacharyya, Tirthankar 4 Lim, Yongdo 4 Sharma, Rajesh 4 Sinha, Kalyan B. 4 Varadhan, S. R. Srinivasa 3 Mukherjea, Kalyan K. 2 Choi, Man-Duen 2 Drissi, Driss 2 Friedland, Shmuel 2 Gaubert, Stéphane 2 Grover, Priyanka 2 Horn, Roger Alan 2 Kirkland, Stephen J. 2 Krause, Gerd M. 2 Perdigão Dias da Silva, José António 2 Rosenthal, Peter 2 Sano, Takashi 2 Uchiyama, Mitsuru 2 Zhan, Xingzhi 1 Ando, Tsuyoshi 1 Athreya, Siva R. 1 Bunse-Gerstner, Angelika 1 Chō, Muneo 1 Congedo, Marco 1 Fujii, Jun Ichi 1 Fujii, Masatoshi 1 Goya, Eitoku 1 Guralnick, Robert Michael 1 Hoshino, Akira 1 Izumino, Saichi 1 Kahan, William Morton 1 Kamei, Eizaburo 1 Karandikar, Rajeeva Laxman 1 Kato, Yoshinobu 1 Koosis, Paul 1 Kosaki, Hideki 1 Li, Chi-Kwong 1 Lin, Chia-Shiang 1 Maeda, Osamu 1 McIntosh, Alan 1 Mehrmann, Volker 1 Musili, C. 1 Nakamura, Yoshihiro 1 Nielsen, Frank 1 Okube, K. 1 Olesky, D. Dale 1 Omladič, Matjaž 1 Ôta, Schôichi 1 Poithasarathy, K. R. 1 Prasad, K. Manjunatha 1 Puntanen, Simo 1 Rajan, Conjeeveram S. 1 Rao, T. S. S. R. K. 1 Sengupta, Ritabrata 1 Singh, Ajit Iqbal 1 Singh, Dinesh Chandra 1 Sourour, Ahmed Ramzi 1 Takahashi, Katsutoshi 1 Tanahashi, Kôtarô 1 Tsatsoneros, M. J. 1 Wolkowicz, Henry 1 Yamazaki, Takeaki 1 Yoshino, Takashi
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Serials

 45 Linear Algebra and its Applications 7 American Mathematical Monthly 7 Linear and Multilinear Algebra 7 Texts and Readings in Mathematics 6 SIAM Journal on Matrix Analysis and Applications 4 Letters in Mathematical Physics 4 The Mathematical Intelligencer 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 3 Communications in Mathematical Physics 3 Studia Mathematica 3 Bulletin of the London Mathematical Society 3 Indiana University Mathematics Journal 3 Journal of Operator Theory 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Positivity 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Physics 2 Archiv der Mathematik 2 Canadian Mathematical Bulletin 2 The Mathematics Student 2 Aequationes Mathematicae 2 Expositiones Mathematicae 2 ELA. The Electronic Journal of Linear Algebra 2 Journal of Spectral Theory 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Acta Scientiarum Mathematicarum 1 BIT 1 Canadian Journal of Mathematics 1 Journal of Functional Analysis 1 The Journal of the Indian Mathematical Society. New Series 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Mathematics 1 Indagationes Mathematicae. New Series 1 Classics in Applied Mathematics 1 Graduate Texts in Mathematics 1 Operators and Matrices 1 Communications on Stochastic Analysis 1 Annals of Functional Analysis 1 Mathematics Newsletter 1 Princeton Series in Applied Mathematics 1 Classroom Resource Materials 1 RIMS Kokyuroku
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Fields

 109 Linear and multilinear algebra; matrix theory (15-XX) 71 Operator theory (47-XX) 16 Functional analysis (46-XX) 14 General and overarching topics; collections (00-XX) 13 History and biography (01-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Numerical analysis (65-XX) 9 Real functions (26-XX) 8 Differential geometry (53-XX) 8 Quantum theory (81-XX) 6 Probability theory and stochastic processes (60-XX) 5 Information and communication theory, circuits (94-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Geometry (51-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX)

Citations contained in zbMATH Open

135 Publications have been cited 3,205 times in 2,111 Documents Cited by Year
Matrix analysis. Zbl 0863.15001
Bhatia, Rajendra
1996
Positive definite matrices. Zbl 1133.15017
Bhatia, Rajendra
2007
Positive definite matrices. Zbl 1125.15300
Bhatia, Rajendra
2007
Riemannian geometry and matrix geometric means. Zbl 1088.15022
Bhatia, Rajendra; Holbrook, John
2006
More matrix forms of the arithmetic-geometric mean inequality. Zbl 0767.15012
Bhatia, Rajendra; Davis, Chandler
1993
On the singular values of a product of operators. Zbl 0704.47014
1990
How and why to solve the operator equation $$AX-XB=Y$$. Zbl 0909.47011
Bhatia, Rajendra; Rosenthal, Peter
1997
Orthogonality of matrices and some distance problems. Zbl 0937.15023
Bhatia, Rajendra; Šemrl, Peter
1999
Notes on matrix arithmetic-geometric mean inequalities. Zbl 0974.15016
2000
Perturbation of spectral subspaces and solution of linear operator equations. Zbl 0518.47013
Bhatia, Rajendra; Davis, Chandler; McIntosh, Alan
1983
Perturbation bounds for matrix eigenvalues. Zbl 0696.15013
Bhatia, Rajendra
1987
Monotonicity of the matrix geometric mean. Zbl 1253.15047
Bhatia, Rajendra; Karandikar, Rajeeva L.
2012
On the exponential metric increasing property. Zbl 1052.15013
Bhatia, Rajendra
2003
Positive definite functions and operator inequalities. Zbl 1037.15021
Bhatia, Rajendra; Parthasarathy, K. R.
2000
A better bound on the variance. Zbl 1009.15009
Bhatia, Rajendra; Davis, Chandler
2000
Interpolating the arithmetic–geometric mean inequality and its operator version. Zbl 1092.15018
Bhatia, Rajendra
2006
Norm inequalities for partitioned operators and an application. Zbl 0688.47005
1990
A Cauchy-Schwarz inequality for operators with applications. Zbl 0824.47006
Bhatia, Rajendra; Davis, Chandler
1995
Infinitely divisible matrices. Zbl 1132.15019
Bhatia, Rajendra
2006
On the Bures-Wasserstein distance between positive definite matrices. Zbl 1437.15044
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
2019
Mean matrices and infinite divisibility. Zbl 1124.15015
Bhatia, Rajendra; Kosaki, Hideki
2007
Maps on matrices that preserve the spectral radius distance. Zbl 0927.15006
Bhatia, Rajendra; Šemrl, Peter; Sourour, A. R.
1999
Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. Zbl 1139.15303
Bhatia, Rajendra
2007
The matrix arithmetic-geometric mean inequality revisited. Zbl 1148.15014
2008
Norm inequalities related to the matrix geometric mean. Zbl 1252.15023
Bhatia, Rajendra; Grover, Priyanka
2012
Clarkson inequalities with several operators. Zbl 1071.47011
2004
An extremal problem in Fourier analysis with applications to operator theory. Zbl 0674.42002
Bhatia, Rajendra; Davis, Chandler; Koosis, Paul
1989
Matrix factorizations and their perturbations. Zbl 0794.15006
Bhatia, Rajendra
1994
Some inequalities for positive linear maps. Zbl 1252.15024
Bhatia, Rajendra; Sharma, Rajesh
2012
Some inequalities for norm ideals. Zbl 0632.47005
Bhatia, Rajendra
1987
Norm inequalities for positive operators. Zbl 0912.47005
1998
A bound for the spectral variation of a unitary operator. Zbl 0539.15010
Bhatia, Rajendra; Davis, Chandler
1984
On the Clarkson-McCarthy inequalities. Zbl 0618.47008
Bhatia, Rajendra; Holbrook, John A. R.
1988
Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix. Zbl 0713.15005
Bhatia, R.; Elsner, L.; Krause, G.
1990
Positive definite matrices. Reprint of the 2007 hardback edition. Zbl 1321.15003
Bhatia, Rajendra
2015
Loewner matrices and operator convexity. Zbl 1172.15010
Bhatia, Rajendra; Sano, Takashi
2009
Cartesian decompositions and Schatten norms. Zbl 0981.47008
2000
Eigenvalue inequalities associated with the Cartesian decomposition. Zbl 0641.15007
Ando, T.; Bhatia, R.
1987
On symplectic eigenvalues of positive definite matrices. Zbl 1329.15048
Bhatia, Rajendra; Jain, Tanvi
2015
Analysis of spectral variation and some inequalities. Zbl 0488.15010
Bhatia, Rajendra
1982
More operator versions of the Schwarz inequality. Zbl 0984.46040
Bhatia, Rajendra; Davis, Chandler
2000
Approximate isometries on Euclidean spaces. Zbl 0901.46016
Bhatia, Rajendra; Šemrl, Peter
1997
Variation of Grassmann powers and spectra. Zbl 0469.15004
Bhatia, Rajendra; Friedland, Shmuel
1981
Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. Zbl 1016.15014
Bhatia, Rajendra
2001
Some norm inequalities for matrix means. Zbl 1334.15052
Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki
2016
On the rate of change of spectra of operators. Zbl 0421.15019
Bhatia, Rajendra; Mukherjea, Kalyan K.
1979
Pinching, trimming, truncating, and averaging of matrices. Zbl 0984.15024
Bhatia, Rajendra
2000
First and second order perturbation bounds for the operator absolute value. Zbl 0815.47006
Bhatia, Rajendra
1994
The Hoffman-Wielandt inequality in infinite dimensions. Zbl 0805.47017
Bhatia, Rajendra; Elsner, Ludwig
1994
The Riemannian mean of positive matrices. Zbl 1271.15019
Bhatia, Rajendra
2013
Some inequalities for commutators and an application to spectral variation. Zbl 0752.47005
Bhatia, Rajendra; Davis, Chandler; Kittaneh, Fuad
1991
Compact operators whose real and imaginary parts are positive. Zbl 0965.47013
Bhatia, Rajendra; Zhan, Xingzhi
2001
Perturbation inequalities for the absolute value map in norm ideals of operators. Zbl 0698.47029
Bhatia, Rajendra
1988
The singular values of $$A+B$$ and $$A+iB$$. Zbl 1172.47011
2009
Variation of real powers of positive operators. Zbl 0836.47011
Bhatia, Rajendra; Sinha, Kalyan B.
1994
Trace inequalities for products of positive definite matrices. Zbl 1288.15022
Bhatia, Rajendra
2014
Short normal paths and spectral variation. Zbl 0568.15012
Bhatia, Rajendra; Holbrook, John A. R.
1985
Differentiation of operator functions and perturbation bounds. Zbl 0918.47017
Bhatia, Rajendra; Singh, Dinesh; Sinha, Kalyan B.
1998
Matrix information geometry. Selected papers based on the presentations at the Indo-French workshop on matrix information geometries (MIG): Applications in sensor and cognitive systems engineering, Palaiseau, France, February 23–25, 2011. Zbl 1252.94003
2013
The operator equation $$\sum _{i=0}^n A^{n-i}XB^i=Y$$. Zbl 1167.15010
Bhatia, Rajendra; Uchiyama, Mitsuru
2009
Commutators, pinchings, and spectral variation. Zbl 1147.15019
2008
Positive linear maps and spreads of matrices. Zbl 1320.15015
Bhatia, Rajendra; Sharma, Rajesh
2014
Unitary invariance and spectral variation. Zbl 0657.15019
Bhatia, Rajendra; Holbrook, John A. R.
1987
A note on the Lyapunov equation. Zbl 0881.15016
Bhatia, Rajendra
1997
Partial traces and entropy inequalities. Zbl 1027.15007
Bhatia, Rajendra
2003
Generalized Lyapunov equations and positive definite functions. Zbl 1097.15015
Bhatia, Rajendra; Drissi, Driss
2005
Noncommutative geometric means. Zbl 1091.26022
Bhatia, Rajendra; Holbrook, John
2006
Norm inequalities for operators with positive real part. Zbl 1043.47011
Bhatia, Rajendra; Zhan, Xingzhi
2003
Matrix versions of the Hellinger distance. Zbl 1420.15016
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi
2019
Higher order derivatives and perturbation bounds for determinants. Zbl 1177.15006
Bhatia, Rajendra; Jain, Tanvi
2009
Variation of the unitary part of a matrix. Zbl 0805.15006
Bhatia, Rajendra; Mukherjea, Kalyan
1994
Positivity preserving Hadamard matrix functions. Zbl 1130.15011
Bhatia, Rajendra; Elsner, Ludwig
2007
On perturbations of matrix pencils with real spectra. II. Zbl 0852.15008
Bhatia, Rajendra; Li, Ren-Cang
1996
Some inequalities for norms of commutators. Zbl 0877.15023
1997
Inertia of the matrix $$[(p_i+p_j)^r]$$. Zbl 1321.15017
Bhatia, Rajendra; Jain, Tanvi
2015
Perturbation bounds for the operator absolute value. Zbl 0835.47009
Bhatia, Rajendra
1995
Strong convexity of sandwiched entropies and related optimization problems. Zbl 1402.49036
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
2018
Inequalities for the Wasserstein mean of positive definite matrices. Zbl 1418.15017
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
2019
Fréchet derivatives of the power function. Zbl 0988.47011
Bhatia, Rajendra; Holbrook, John A.
2000
On some perturbation inequalities for operators. Zbl 0659.47016
1988
Pinchings and norms of scaled triangular matrices. Zbl 1004.15020
Bhatia, Rajendra; Kahan, William; Li, Ren-Cang
2002
Some inequalities for commutators and an application to spectral variation. II. Zbl 0901.47012
Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang
1997
Positive linear maps and spreads of matrices. II. Zbl 1391.15075
Bhatia, Rajendra; Sharma, Rajesh
2016
Min matrices and mean matrices. Zbl 1247.15029
Bhatia, Rajendra
2011
Notes on functional analysis. Zbl 1175.46001
Bhatia, Rajendra
2009
A generalization of the Hoffman-Wielandt theorem. Zbl 0774.15011
Bhatia, Rajendra; Bhattacharyya, Tirthankar
1993
Infinite divisibility of GCD matrices. Zbl 1169.15301
Bhatia, Rajendra; Dias da Silva, J. A.
2008
Variation of symmetric tensor powers and permanents. Zbl 0552.15014
Bhatia, Rajendra
1984
The geometric mean of exponentials of Pauli matrices. Zbl 1425.15035
Bhatia, Rajendra; Jain, Tanvi
2015
Inertia of Loewner matrices. Zbl 1354.15005
Bhatia, Rajendra; Friedland, Shmuel; Jain, Tanvi
2016
Lectures on functional analysis. Part I: Perturbation by bounded operators. Zbl 0451.47020
Bhatia, Rajendra; Parthasarathy, K. R.
1978
Derivations, derivatives and chain rules. Zbl 0951.47012
Bhatia, Rajendra; Sinha, Kalyan B.
1999
Letter to the editor. Zbl 0780.51017
Bhatia, Rajendra
1991
Positivity and conditional positivity of Loewner matrices. Zbl 1204.15039
Bhatia, Rajendra; Sano, Takashi
2010
On the rate of change of spectra of operators. II. Zbl 0479.15009
Bhatia, Rajendra
1981
Corners of normal matrices. Zbl 1119.15026
Bhatia, Rajendra; Choi, Man-Duen
2006
A unitary analogue of Kato’s theorem on variation of discrete spectra. Zbl 0658.47008
Bhatia, Rajendra; Sinha, Kalayan B.
1988
Comparing a matrix to its off-diagonal part. Zbl 0674.15018
Bhatia, Rajendra; Choi, Man-Duen; Davis, Chandler
1989
Perturbation of extended enumerations of eigenvalues. Zbl 0933.47015
Bhatia, Rajendra; Davis, Chandler
1999
Distance between commuting tuples of normal operators. Zbl 0931.47001
Bhatia, Rajendra; Elsner, Ludwig; Šemrl, Peter
1998
Variational principles for symplectic eigenvalues. Zbl 1475.15021
Bhatia, Rajendra; Jain, Tanvi
2021
A Schur-Horn theorem for symplectic eigenvalues. Zbl 1451.15012
Bhatia, Rajendra; Jain, Tanvi
2020
On the Bures-Wasserstein distance between positive definite matrices. Zbl 1437.15044
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
2019
Matrix versions of the Hellinger distance. Zbl 1420.15016
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi
2019
Inequalities for the Wasserstein mean of positive definite matrices. Zbl 1418.15017
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
2019
Some inequalities for eigenvalues and symplectic eigenvalues of positive definite matrices. Zbl 1425.15015
Bhatia, Rajendra
2019
Correction to: “Matrix versions of the Hellinger distance”. Zbl 1435.15018
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi
2019
Procrustes problems in Riemannian manifolds of positive definite matrices. Zbl 1404.15025
Bhatia, Rajendra; Congedo, Marco
2019
Strong convexity of sandwiched entropies and related optimization problems. Zbl 1402.49036
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
2018
Some norm inequalities for matrix means. Zbl 1334.15052
Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki
2016
Positive linear maps and spreads of matrices. II. Zbl 1391.15075
Bhatia, Rajendra; Sharma, Rajesh
2016
Inertia of Loewner matrices. Zbl 1354.15005
Bhatia, Rajendra; Friedland, Shmuel; Jain, Tanvi
2016
Positive definite matrices. Reprint of the 2007 hardback edition. Zbl 1321.15003
Bhatia, Rajendra
2015
On symplectic eigenvalues of positive definite matrices. Zbl 1329.15048
Bhatia, Rajendra; Jain, Tanvi
2015
Inertia of the matrix $$[(p_i+p_j)^r]$$. Zbl 1321.15017
Bhatia, Rajendra; Jain, Tanvi
2015
The geometric mean of exponentials of Pauli matrices. Zbl 1425.15035
Bhatia, Rajendra; Jain, Tanvi
2015
On some positive definite functions. Zbl 1331.42009
Bhatia, Rajendra; Jain, Tanvi
2015
Trace inequalities for products of positive definite matrices. Zbl 1288.15022
Bhatia, Rajendra
2014
Positive linear maps and spreads of matrices. Zbl 1320.15015
Bhatia, Rajendra; Sharma, Rajesh
2014
Positivity properties of the matrix $${\left[(i+j)^{i+j}\right]}$$. Zbl 1305.15072
Bhatia, Rajendra; Jain, Tanvi
2014
The Riemannian mean of positive matrices. Zbl 1271.15019
Bhatia, Rajendra
2013
Matrix information geometry. Selected papers based on the presentations at the Indo-French workshop on matrix information geometries (MIG): Applications in sensor and cognitive systems engineering, Palaiseau, France, February 23–25, 2011. Zbl 1252.94003
2013
Derivatives of tensor powers and their norms. Zbl 1283.15073
Bhatia, Rajendra; Grover, Priyanka; Jain, Tanvi
2013
The bipolar decomposition. Zbl 1283.15039
Bhatia, Rajendra
2013
Monotonicity of the matrix geometric mean. Zbl 1253.15047
Bhatia, Rajendra; Karandikar, Rajeeva L.
2012
Norm inequalities related to the matrix geometric mean. Zbl 1252.15023
Bhatia, Rajendra; Grover, Priyanka
2012
Some inequalities for positive linear maps. Zbl 1252.15024
Bhatia, Rajendra; Sharma, Rajesh
2012
An interpolating family of means. Zbl 1331.26053
Bhatia, Rajendra; Li, Ren-Cang
2012
Collected papers. Volume IV: Particle systems and their large deviations. Edited by Rajendra Bhatia, Abhay Bhatt and K. R. Parthasarathy. Zbl 1311.82004
2012
Min matrices and mean matrices. Zbl 1247.15029
Bhatia, Rajendra
2011
Positivity and conditional positivity of Loewner matrices. Zbl 1204.15039
Bhatia, Rajendra; Sano, Takashi
2010
Modulus of continuity of the matrix absolute value. Zbl 1226.47010
Bhatia, Rajendra
2010
Loewner matrices and operator convexity. Zbl 1172.15010
Bhatia, Rajendra; Sano, Takashi
2009
The singular values of $$A+B$$ and $$A+iB$$. Zbl 1172.47011
2009
The operator equation $$\sum _{i=0}^n A^{n-i}XB^i=Y$$. Zbl 1167.15010
Bhatia, Rajendra; Uchiyama, Mitsuru
2009
Higher order derivatives and perturbation bounds for determinants. Zbl 1177.15006
Bhatia, Rajendra; Jain, Tanvi
2009
Notes on functional analysis. Zbl 1175.46001
Bhatia, Rajendra
2009
The matrix arithmetic-geometric mean inequality revisited. Zbl 1148.15014
2008
Commutators, pinchings, and spectral variation. Zbl 1147.15019
2008
Infinite divisibility of GCD matrices. Zbl 1169.15301
Bhatia, Rajendra; Dias da Silva, J. A.
2008
Positive definite matrices. Zbl 1133.15017
Bhatia, Rajendra
2007
Positive definite matrices. Zbl 1125.15300
Bhatia, Rajendra
2007
Mean matrices and infinite divisibility. Zbl 1124.15015
Bhatia, Rajendra; Kosaki, Hideki
2007
Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. Zbl 1139.15303
Bhatia, Rajendra
2007
Positivity preserving Hadamard matrix functions. Zbl 1130.15011
Bhatia, Rajendra; Elsner, Ludwig
2007
Riemannian geometry and matrix geometric means. Zbl 1088.15022
Bhatia, Rajendra; Holbrook, John
2006
Interpolating the arithmetic–geometric mean inequality and its operator version. Zbl 1092.15018
Bhatia, Rajendra
2006
Infinitely divisible matrices. Zbl 1132.15019
Bhatia, Rajendra
2006
Noncommutative geometric means. Zbl 1091.26022
Bhatia, Rajendra; Holbrook, John
2006
Corners of normal matrices. Zbl 1119.15026
Bhatia, Rajendra; Choi, Man-Duen
2006
Generalized Lyapunov equations and positive definite functions. Zbl 1097.15015
Bhatia, Rajendra; Drissi, Driss
2005
Clarkson inequalities with several operators. Zbl 1071.47011
2004
On the exponential metric increasing property. Zbl 1052.15013
Bhatia, Rajendra
2003
Partial traces and entropy inequalities. Zbl 1027.15007
Bhatia, Rajendra
2003
Norm inequalities for operators with positive real part. Zbl 1043.47011
Bhatia, Rajendra; Zhan, Xingzhi
2003
Higher order logarithmic derivatives of matrices in the spectral norm. Zbl 1062.15015
Bhatia, Rajendra; Elsner, Ludwig
2003
Pinchings and norms of scaled triangular matrices. Zbl 1004.15020
Bhatia, Rajendra; Kahan, William; Li, Ren-Cang
2002
Variation of induced linear operators. Zbl 1151.47301
Bhatia, Rajendra; Dias da Silva, J. A.
2002
Positive linear maps and the Lyapunov equation. Zbl 1018.15003
Bhatia, Rajendra; Elsner, Ludwig
2002
Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. Zbl 1016.15014
Bhatia, Rajendra
2001
Compact operators whose real and imaginary parts are positive. Zbl 0965.47013
Bhatia, Rajendra; Zhan, Xingzhi
2001
A key inequality for functions of matrices. Zbl 0978.15016
Bhatia, Rajendra; Davis, Chandler
2001
Notes on matrix arithmetic-geometric mean inequalities. Zbl 0974.15016
2000
Positive definite functions and operator inequalities. Zbl 1037.15021
Bhatia, Rajendra; Parthasarathy, K. R.
2000
A better bound on the variance. Zbl 1009.15009
Bhatia, Rajendra; Davis, Chandler
2000
Cartesian decompositions and Schatten norms. Zbl 0981.47008
2000
More operator versions of the Schwarz inequality. Zbl 0984.46040
Bhatia, Rajendra; Davis, Chandler
2000
Pinching, trimming, truncating, and averaging of matrices. Zbl 0984.15024
Bhatia, Rajendra
2000
Fréchet derivatives of the power function. Zbl 0988.47011
Bhatia, Rajendra; Holbrook, John A.
2000
Orthogonality of matrices and some distance problems. Zbl 0937.15023
Bhatia, Rajendra; Šemrl, Peter
1999
Maps on matrices that preserve the spectral radius distance. Zbl 0927.15006
Bhatia, Rajendra; Šemrl, Peter; Sourour, A. R.
1999
Derivations, derivatives and chain rules. Zbl 0951.47012
Bhatia, Rajendra; Sinha, Kalyan B.
1999
Perturbation of extended enumerations of eigenvalues. Zbl 0933.47015
Bhatia, Rajendra; Davis, Chandler
1999
Perturbation theorems for Hermitian elements in Banach algebras. Zbl 0940.46026
Bhatia, Rajendra; Drissi, Driss
1999
Norm inequalities for positive operators. Zbl 0912.47005
1998
Differentiation of operator functions and perturbation bounds. Zbl 0918.47017
Bhatia, Rajendra; Singh, Dinesh; Sinha, Kalyan B.
1998
Distance between commuting tuples of normal operators. Zbl 0931.47001
Bhatia, Rajendra; Elsner, Ludwig; Šemrl, Peter
1998
Eigenvalues of symmetrizable matrices. Zbl 0898.15015
Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang
1998
How and why to solve the operator equation $$AX-XB=Y$$. Zbl 0909.47011
Bhatia, Rajendra; Rosenthal, Peter
1997
Approximate isometries on Euclidean spaces. Zbl 0901.46016
Bhatia, Rajendra; Šemrl, Peter
1997
A note on the Lyapunov equation. Zbl 0881.15016
Bhatia, Rajendra
1997
Some inequalities for norms of commutators. Zbl 0877.15023
1997
Some inequalities for commutators and an application to spectral variation. II. Zbl 0901.47012
Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang
1997
Spectral variation bounds for diagonalisable matrices. Zbl 0897.15007
Bhatia, Rajendra; Elsner, Ludwig; Krause, Gerd M.
1997
Matrix analysis. Zbl 0863.15001
Bhatia, Rajendra
1996
On perturbations of matrix pencils with real spectra. II. Zbl 0852.15008
Bhatia, Rajendra; Li, Ren-Cang
1996
Distance between Hermitian operators in Schatten classes. Zbl 0857.47013
Bhatia, Rajendra; Šemrl, Peter
1996
On joint eigenvalues of commuting matrices. Zbl 0870.15003
Bhatia, R.; Elsner, L.
1996
A Cauchy-Schwarz inequality for operators with applications. Zbl 0824.47006
Bhatia, Rajendra; Davis, Chandler
1995
Perturbation bounds for the operator absolute value. Zbl 0835.47009
Bhatia, Rajendra
1995
On the joint spectral radius of commuting matrices. Zbl 0830.47002
Bhatia, Rajendra; Bhattacharyya, Tirthankar
1995
Matrix factorizations and their perturbations. Zbl 0794.15006
Bhatia, Rajendra
1994
First and second order perturbation bounds for the operator absolute value. Zbl 0815.47006
Bhatia, Rajendra
1994
The Hoffman-Wielandt inequality in infinite dimensions. Zbl 0805.47017
Bhatia, Rajendra; Elsner, Ludwig
1994
Variation of real powers of positive operators. Zbl 0836.47011
Bhatia, Rajendra; Sinha, Kalyan B.
1994
Variation of the unitary part of a matrix. Zbl 0805.15006
Bhatia, Rajendra; Mukherjea, Kalyan
1994
Relations of linking and duality between symmetric gauge functions. Zbl 0808.15016
Bhatia, Rajendra; Davis, Chandler
1994
A simple proof of an operator inequality of Jocić and Kittaneh. Zbl 0851.47012
Bhatia, Rajendra
1994
More matrix forms of the arithmetic-geometric mean inequality. Zbl 0767.15012
Bhatia, Rajendra; Davis, Chandler
1993
A generalization of the Hoffman-Wielandt theorem. Zbl 0774.15011
Bhatia, Rajendra; Bhattacharyya, Tirthankar
1993
...and 35 more Documents
all top 5

Cited by 2,276 Authors

 82 Bhatia, Rajendra 79 Kittaneh, Fuad 60 Lim, Yongdo 37 Hiai, Fumio 30 Moslehian, Mohammad Sal 26 Serra-Capizzano, Stefano 24 Kim, Sejong 21 Li, Rencang 21 Sababheh, Mohamad Suboh 21 Sain, Debmalya 20 Dragomir, Sever Silvestru 20 Hirzallah, Omar 20 Jain, Tanvi 19 Moradi, Hamid Reza 17 Bourin, Jean-Christophe 17 Lee, Hosoo 17 Paul, Kallol 17 Seo, Yuki 16 Kian, Mohsen 15 Dinh Trung Hoa 15 Garoni, Carlo 15 Uchiyama, Mitsuru 14 Elsner, Ludwig F. 14 Lawson, Jimmie Don 14 Li, Chi-Kwong 14 Tam, Tin-Yau 13 Gil’, Michael Iosif 13 Lin, Minghua 13 Massey, Pedro G. 12 Conde, Cristian M. 12 Sra, Suvrit 11 Kosaki, Hideki 11 Pálfia, Miklós 11 Petz, Dénes 11 Singh, Mandeep 11 Stojanoff, Demetrio 10 Arambašić, Ljiljana 10 Audenaert, Koenraad M. R. 10 Dumitru, Raluca 10 Furuichi, Shigeru 10 Hayajneh, Mostafa 10 Holbrook, John A. R. 10 Jocić, Danko R. 10 Rastëgin, Alekseĭ Èduardovich 10 Zou, Limin 9 Aujla, Jaspal Singh 9 Bakherad, Mojtaba 9 Franco, Jose A. 9 Grover, Priyanka 9 Hayajneh, Saja 9 Molnár, Lajos 9 Niezgoda, Marek 9 Rajić, Rajna 9 Sano, Takashi 9 Sharma, Rajesh 8 Audeh, Wasim 8 Bourhim, Abdellatif 8 Fu, Xiaohui 8 Gumus, Ibrahim Halil 8 Iannazzo, Bruno 8 Kapil, Yogesh 8 Kum, Sangho 8 Kuzma, Bojan 8 Lee, Eun-Young 8 Omidvar, Mohsen Erfanian 7 Antezana, Jorge 7 Davis, Chandler 7 Drury, Stephen William 7 Fujii, Jun Ichi 7 Furuta, Takayuki 7 Guillot, Dominique 7 Khare, Apoorva 7 Larotonda, Gabriel 7 Li, Hanyu 7 Li, Yongtao 7 Ruiz, Mariano A. 7 Shao, Jingjing 7 Tanaka, Ryotaro 7 Tropp, Joel A. 7 Wójcik, Paweł 7 Yamazaki, Takeaki 7 Zhan, Xingzhi 7 Zhao, Jianguo 6 Absil, Pierre-Antoine 6 Alrimawi, Fadi 6 Bendaoud, Mohamed 6 Darvish, Vahid 6 Ding, Chao 6 Djordjević, Bogdan D. 6 Friedland, Shmuel 6 Ghazanfari, Amir Ghasem 6 Guterman, Alexander Èmilevich 6 Haukkanen, Pentti 6 Horn, Roger Alan 6 Huhtanen, Marko 6 Li, Wen 6 Mal, Arpita 6 Nasiri, Leila 6 O’Reilly, Małgorzata M. 6 Rajaratnam, Bala ...and 2,176 more Authors
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Cited in 398 Serials

 420 Linear Algebra and its Applications 98 Linear and Multilinear Algebra 60 Journal of Mathematical Analysis and Applications 46 Proceedings of the American Mathematical Society 40 Journal of Inequalities and Applications 33 Journal of Mathematical Physics 31 Journal of Functional Analysis 30 The Annals of Statistics 28 Positivity 27 Communications in Mathematical Physics 27 Integral Equations and Operator Theory 27 SIAM Journal on Matrix Analysis and Applications 26 ELA. The Electronic Journal of Linear Algebra 25 Mathematical Inequalities & Applications 24 Operators and Matrices 24 Journal of Mathematical Inequalities 22 Advances in Operator Theory 21 Filomat 19 Complex Analysis and Operator Theory 17 Journal of Statistical Physics 17 Letters in Mathematical Physics 17 Transactions of the American Mathematical Society 17 Banach Journal of Mathematical Analysis 16 Mathematics of Computation 15 Quantum Information Processing 15 Annals of Functional Analysis 14 International Journal of Mathematics 12 Numerische Mathematik 12 Results in Mathematics 12 Mathematical Programming. Series A. Series B 12 Journal of Machine Learning Research (JMLR) 12 Mediterranean Journal of Mathematics 11 Journal of Computational and Applied Mathematics 9 Numerical Functional Analysis and Optimization 9 Bulletin of the Iranian Mathematical Society 9 Aequationes Mathematicae 8 Reviews in Mathematical Physics 8 Journal of Optimization Theory and Applications 8 The Journal of Fourier Analysis and Applications 8 Foundations of Computational Mathematics 8 Electronic Journal of Statistics 8 Special Matrices 7 Mathematische Annalen 7 Probability Theory and Related Fields 7 SIAM Journal on Scientific Computing 7 Numerical Linear Algebra with Applications 7 Advances in Computational Mathematics 7 Journal of Spectral Theory 6 Bulletin of the Australian Mathematical Society 6 Computers & Mathematics with Applications 6 Indian Journal of Pure & Applied Mathematics 6 Advances in Mathematics 6 The Annals of Probability 6 BIT 6 Calcolo 6 Journal of Multivariate Analysis 6 Machine Learning 6 Numerical Algorithms 6 SIAM Journal on Optimization 6 Bernoulli 6 Journal of High Energy Physics 6 Journal of the Australian Mathematical Society 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Reports on Mathematical Physics 5 Rocky Mountain Journal of Mathematics 5 Studia Mathematica 5 Applied Mathematics and Computation 5 Communications in Statistics. Theory and Methods 5 Expositiones Mathematicae 5 Journal of Convex Analysis 5 Abstract and Applied Analysis 5 Acta Mathematica Sinica. English Series 5 Physical Review A, Third Series 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Communications in Algebra 4 Discrete Mathematics 4 Journal of the Franklin Institute 4 Mathematical Notes 4 The Mathematical Intelligencer 4 Automatica 4 Journal of Approximation Theory 4 Mathematische Zeitschrift 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Constructive Approximation 4 Journal of Theoretical Probability 4 Journal of Global Optimization 4 Journal of Elasticity 4 SIAM Review 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 The Journal of Analysis 4 Applied and Computational Harmonic Analysis 4 Journal of Mathematical Sciences (New York) 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Taiwanese Journal of Mathematics 4 Annales Henri Poincaré 4 Physical Review Letters 4 Journal of Applied Mathematics 4 Hacettepe Journal of Mathematics and Statistics 4 Optimization Letters ...and 298 more Serials
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Cited in 60 Fields

 961 Linear and multilinear algebra; matrix theory (15-XX) 864 Operator theory (47-XX) 264 Functional analysis (46-XX) 254 Numerical analysis (65-XX) 177 Quantum theory (81-XX) 156 Statistics (62-XX) 137 Probability theory and stochastic processes (60-XX) 131 Real functions (26-XX) 100 Information and communication theory, circuits (94-XX) 82 Operations research, mathematical programming (90-XX) 70 Differential geometry (53-XX) 58 Computer science (68-XX) 53 Combinatorics (05-XX) 47 Partial differential equations (35-XX) 44 Statistical mechanics, structure of matter (82-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 35 Functions of a complex variable (30-XX) 35 Systems theory; control (93-XX) 34 Global analysis, analysis on manifolds (58-XX) 30 Dynamical systems and ergodic theory (37-XX) 30 Difference and functional equations (39-XX) 27 Convex and discrete geometry (52-XX) 26 Geometry (51-XX) 25 Ordinary differential equations (34-XX) 24 Approximations and expansions (41-XX) 23 Topological groups, Lie groups (22-XX) 19 Number theory (11-XX) 16 General topology (54-XX) 14 Group theory and generalizations (20-XX) 14 Measure and integration (28-XX) 14 Mechanics of deformable solids (74-XX) 12 Nonassociative rings and algebras (17-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Relativity and gravitational theory (83-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Biology and other natural sciences (92-XX) 9 Special functions (33-XX) 9 Abstract harmonic analysis (43-XX) 8 Fluid mechanics (76-XX) 7 Integral equations (45-XX) 7 Manifolds and cell complexes (57-XX) 6 Field theory and polynomials (12-XX) 5 History and biography (01-XX) 5 Integral transforms, operational calculus (44-XX) 4 Algebraic geometry (14-XX) 4 Mechanics of particles and systems (70-XX) 3 Associative rings and algebras (16-XX) 3 $$K$$-theory (19-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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