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Author ID: bhatia.rajendra Recent zbMATH articles by "Bhatia, Rajendra"
Published as: Bhatia, Rajendra; Bhatia, R.
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all top 5

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
all top 5

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

Publications by Year

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
637
1996
Positive definite matrices. Zbl 1133.15017
Bhatia, Rajendra
320
2007
Positive definite matrices. Zbl 1125.15300
Bhatia, Rajendra
118
2007
Riemannian geometry and matrix geometric means. Zbl 1088.15022
Bhatia, Rajendra; Holbrook, John
112
2006
More matrix forms of the arithmetic-geometric mean inequality. Zbl 0767.15012
Bhatia, Rajendra; Davis, Chandler
96
1993
On the singular values of a product of operators. Zbl 0704.47014
Bhatia, Rajendra; Kittaneh, Fuad
95
1990
How and why to solve the operator equation \(AX-XB=Y\). Zbl 0909.47011
Bhatia, Rajendra; Rosenthal, Peter
94
1997
Orthogonality of matrices and some distance problems. Zbl 0937.15023
Bhatia, Rajendra; Šemrl, Peter
80
1999
Notes on matrix arithmetic-geometric mean inequalities. Zbl 0974.15016
Bhatia, Rajendra; Kittaneh, Fuad
72
2000
Perturbation of spectral subspaces and solution of linear operator equations. Zbl 0518.47013
Bhatia, Rajendra; Davis, Chandler; McIntosh, Alan
60
1983
Perturbation bounds for matrix eigenvalues. Zbl 0696.15013
Bhatia, Rajendra
56
1987
Monotonicity of the matrix geometric mean. Zbl 1253.15047
Bhatia, Rajendra; Karandikar, Rajeeva L.
50
2012
On the exponential metric increasing property. Zbl 1052.15013
Bhatia, Rajendra
45
2003
Positive definite functions and operator inequalities. Zbl 1037.15021
Bhatia, Rajendra; Parthasarathy, K. R.
45
2000
A better bound on the variance. Zbl 1009.15009
Bhatia, Rajendra; Davis, Chandler
42
2000
Interpolating the arithmetic–geometric mean inequality and its operator version. Zbl 1092.15018
Bhatia, Rajendra
41
2006
Norm inequalities for partitioned operators and an application. Zbl 0688.47005
Bhatia, Rajendra; Kittaneh, Fuad
40
1990
A Cauchy-Schwarz inequality for operators with applications. Zbl 0824.47006
Bhatia, Rajendra; Davis, Chandler
35
1995
Infinitely divisible matrices. Zbl 1132.15019
Bhatia, Rajendra
34
2006
On the Bures-Wasserstein distance between positive definite matrices. Zbl 1437.15044
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
34
2019
Mean matrices and infinite divisibility. Zbl 1124.15015
Bhatia, Rajendra; Kosaki, Hideki
32
2007
Maps on matrices that preserve the spectral radius distance. Zbl 0927.15006
Bhatia, Rajendra; Šemrl, Peter; Sourour, A. R.
31
1999
Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. Zbl 1139.15303
Bhatia, Rajendra
31
2007
The matrix arithmetic-geometric mean inequality revisited. Zbl 1148.15014
Bhatia, Rajendra; Kittaneh, Fuad
30
2008
Norm inequalities related to the matrix geometric mean. Zbl 1252.15023
Bhatia, Rajendra; Grover, Priyanka
27
2012
Clarkson inequalities with several operators. Zbl 1071.47011
Bhatia, Rajendra; Kittaneh, Fuad
25
2004
An extremal problem in Fourier analysis with applications to operator theory. Zbl 0674.42002
Bhatia, Rajendra; Davis, Chandler; Koosis, Paul
24
1989
Matrix factorizations and their perturbations. Zbl 0794.15006
Bhatia, Rajendra
24
1994
Some inequalities for positive linear maps. Zbl 1252.15024
Bhatia, Rajendra; Sharma, Rajesh
23
2012
Some inequalities for norm ideals. Zbl 0632.47005
Bhatia, Rajendra
21
1987
Norm inequalities for positive operators. Zbl 0912.47005
Bhatia, Rajendra; Kittaneh, Fuad
21
1998
A bound for the spectral variation of a unitary operator. Zbl 0539.15010
Bhatia, Rajendra; Davis, Chandler
21
1984
On the Clarkson-McCarthy inequalities. Zbl 0618.47008
Bhatia, Rajendra; Holbrook, John A. R.
21
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.
21
1990
Positive definite matrices. Reprint of the 2007 hardback edition. Zbl 1321.15003
Bhatia, Rajendra
20
2015
Loewner matrices and operator convexity. Zbl 1172.15010
Bhatia, Rajendra; Sano, Takashi
18
2009
Cartesian decompositions and Schatten norms. Zbl 0981.47008
Bhatia, Rajendra; Kittaneh, Fuad
18
2000
Eigenvalue inequalities associated with the Cartesian decomposition. Zbl 0641.15007
Ando, T.; Bhatia, R.
17
1987
On symplectic eigenvalues of positive definite matrices. Zbl 1329.15048
Bhatia, Rajendra; Jain, Tanvi
17
2015
Analysis of spectral variation and some inequalities. Zbl 0488.15010
Bhatia, Rajendra
17
1982
More operator versions of the Schwarz inequality. Zbl 0984.46040
Bhatia, Rajendra; Davis, Chandler
16
2000
Approximate isometries on Euclidean spaces. Zbl 0901.46016
Bhatia, Rajendra; Šemrl, Peter
16
1997
Variation of Grassmann powers and spectra. Zbl 0469.15004
Bhatia, Rajendra; Friedland, Shmuel
16
1981
Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. Zbl 1016.15014
Bhatia, Rajendra
16
2001
Some norm inequalities for matrix means. Zbl 1334.15052
Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki
15
2016
On the rate of change of spectra of operators. Zbl 0421.15019
Bhatia, Rajendra; Mukherjea, Kalyan K.
15
1979
Pinching, trimming, truncating, and averaging of matrices. Zbl 0984.15024
Bhatia, Rajendra
15
2000
First and second order perturbation bounds for the operator absolute value. Zbl 0815.47006
Bhatia, Rajendra
14
1994
The Hoffman-Wielandt inequality in infinite dimensions. Zbl 0805.47017
Bhatia, Rajendra; Elsner, Ludwig
14
1994
The Riemannian mean of positive matrices. Zbl 1271.15019
Bhatia, Rajendra
14
2013
Some inequalities for commutators and an application to spectral variation. Zbl 0752.47005
Bhatia, Rajendra; Davis, Chandler; Kittaneh, Fuad
14
1991
Compact operators whose real and imaginary parts are positive. Zbl 0965.47013
Bhatia, Rajendra; Zhan, Xingzhi
14
2001
Perturbation inequalities for the absolute value map in norm ideals of operators. Zbl 0698.47029
Bhatia, Rajendra
13
1988
The singular values of \(A+B\) and \(A+iB\). Zbl 1172.47011
Bhatia, Rajendra; Kittaneh, Fuad
12
2009
Variation of real powers of positive operators. Zbl 0836.47011
Bhatia, Rajendra; Sinha, Kalyan B.
12
1994
Trace inequalities for products of positive definite matrices. Zbl 1288.15022
Bhatia, Rajendra
12
2014
Short normal paths and spectral variation. Zbl 0568.15012
Bhatia, Rajendra; Holbrook, John A. R.
11
1985
Differentiation of operator functions and perturbation bounds. Zbl 0918.47017
Bhatia, Rajendra; Singh, Dinesh; Sinha, Kalyan B.
11
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
11
2013
The operator equation \(\sum _{i=0}^n A^{n-i}XB^i=Y\). Zbl 1167.15010
Bhatia, Rajendra; Uchiyama, Mitsuru
11
2009
Commutators, pinchings, and spectral variation. Zbl 1147.15019
Bhatia, Rajendra; Kittaneh, Fuad
11
2008
Positive linear maps and spreads of matrices. Zbl 1320.15015
Bhatia, Rajendra; Sharma, Rajesh
10
2014
Unitary invariance and spectral variation. Zbl 0657.15019
Bhatia, Rajendra; Holbrook, John A. R.
10
1987
A note on the Lyapunov equation. Zbl 0881.15016
Bhatia, Rajendra
10
1997
Partial traces and entropy inequalities. Zbl 1027.15007
Bhatia, Rajendra
10
2003
Generalized Lyapunov equations and positive definite functions. Zbl 1097.15015
Bhatia, Rajendra; Drissi, Driss
10
2005
Noncommutative geometric means. Zbl 1091.26022
Bhatia, Rajendra; Holbrook, John
10
2006
Norm inequalities for operators with positive real part. Zbl 1043.47011
Bhatia, Rajendra; Zhan, Xingzhi
10
2003
Matrix versions of the Hellinger distance. Zbl 1420.15016
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi
10
2019
Higher order derivatives and perturbation bounds for determinants. Zbl 1177.15006
Bhatia, Rajendra; Jain, Tanvi
9
2009
Variation of the unitary part of a matrix. Zbl 0805.15006
Bhatia, Rajendra; Mukherjea, Kalyan
9
1994
Positivity preserving Hadamard matrix functions. Zbl 1130.15011
Bhatia, Rajendra; Elsner, Ludwig
9
2007
On perturbations of matrix pencils with real spectra. II. Zbl 0852.15008
Bhatia, Rajendra; Li, Ren-Cang
9
1996
Some inequalities for norms of commutators. Zbl 0877.15023
Bhatia, Rajendra; Kittaneh, Fuad
9
1997
Inertia of the matrix \([(p_i+p_j)^r]\). Zbl 1321.15017
Bhatia, Rajendra; Jain, Tanvi
8
2015
Perturbation bounds for the operator absolute value. Zbl 0835.47009
Bhatia, Rajendra
8
1995
Strong convexity of sandwiched entropies and related optimization problems. Zbl 1402.49036
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
8
2018
Inequalities for the Wasserstein mean of positive definite matrices. Zbl 1418.15017
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
8
2019
Fréchet derivatives of the power function. Zbl 0988.47011
Bhatia, Rajendra; Holbrook, John A.
8
2000
On some perturbation inequalities for operators. Zbl 0659.47016
Bhatia, Rajendra; Kittaneh, Fuad
7
1988
Pinchings and norms of scaled triangular matrices. Zbl 1004.15020
Bhatia, Rajendra; Kahan, William; Li, Ren-Cang
7
2002
Some inequalities for commutators and an application to spectral variation. II. Zbl 0901.47012
Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang
7
1997
Positive linear maps and spreads of matrices. II. Zbl 1391.15075
Bhatia, Rajendra; Sharma, Rajesh
7
2016
Min matrices and mean matrices. Zbl 1247.15029
Bhatia, Rajendra
7
2011
Notes on functional analysis. Zbl 1175.46001
Bhatia, Rajendra
7
2009
A generalization of the Hoffman-Wielandt theorem. Zbl 0774.15011
Bhatia, Rajendra; Bhattacharyya, Tirthankar
7
1993
Infinite divisibility of GCD matrices. Zbl 1169.15301
Bhatia, Rajendra; Dias da Silva, J. A.
6
2008
Variation of symmetric tensor powers and permanents. Zbl 0552.15014
Bhatia, Rajendra
6
1984
The geometric mean of exponentials of Pauli matrices. Zbl 1425.15035
Bhatia, Rajendra; Jain, Tanvi
6
2015
Inertia of Loewner matrices. Zbl 1354.15005
Bhatia, Rajendra; Friedland, Shmuel; Jain, Tanvi
5
2016
Lectures on functional analysis. Part I: Perturbation by bounded operators. Zbl 0451.47020
Bhatia, Rajendra; Parthasarathy, K. R.
5
1978
Derivations, derivatives and chain rules. Zbl 0951.47012
Bhatia, Rajendra; Sinha, Kalyan B.
5
1999
Letter to the editor. Zbl 0780.51017
Bhatia, Rajendra
5
1991
Positivity and conditional positivity of Loewner matrices. Zbl 1204.15039
Bhatia, Rajendra; Sano, Takashi
5
2010
On the rate of change of spectra of operators. II. Zbl 0479.15009
Bhatia, Rajendra
5
1981
Corners of normal matrices. Zbl 1119.15026
Bhatia, Rajendra; Choi, Man-Duen
5
2006
A unitary analogue of Kato’s theorem on variation of discrete spectra. Zbl 0658.47008
Bhatia, Rajendra; Sinha, Kalayan B.
4
1988
Comparing a matrix to its off-diagonal part. Zbl 0674.15018
Bhatia, Rajendra; Choi, Man-Duen; Davis, Chandler
4
1989
Perturbation of extended enumerations of eigenvalues. Zbl 0933.47015
Bhatia, Rajendra; Davis, Chandler
4
1999
Distance between commuting tuples of normal operators. Zbl 0931.47001
Bhatia, Rajendra; Elsner, Ludwig; Šemrl, Peter
4
1998
Variational principles for symplectic eigenvalues. Zbl 1475.15021
Bhatia, Rajendra; Jain, Tanvi
2
2021
A Schur-Horn theorem for symplectic eigenvalues. Zbl 1451.15012
Bhatia, Rajendra; Jain, Tanvi
3
2020
On the Bures-Wasserstein distance between positive definite matrices. Zbl 1437.15044
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
34
2019
Matrix versions of the Hellinger distance. Zbl 1420.15016
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi
10
2019
Inequalities for the Wasserstein mean of positive definite matrices. Zbl 1418.15017
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
8
2019
Some inequalities for eigenvalues and symplectic eigenvalues of positive definite matrices. Zbl 1425.15015
Bhatia, Rajendra
2
2019
Correction to: “Matrix versions of the Hellinger distance”. Zbl 1435.15018
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi
2
2019
Procrustes problems in Riemannian manifolds of positive definite matrices. Zbl 1404.15025
Bhatia, Rajendra; Congedo, Marco
1
2019
Strong convexity of sandwiched entropies and related optimization problems. Zbl 1402.49036
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
8
2018
Some norm inequalities for matrix means. Zbl 1334.15052
Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki
15
2016
Positive linear maps and spreads of matrices. II. Zbl 1391.15075
Bhatia, Rajendra; Sharma, Rajesh
7
2016
Inertia of Loewner matrices. Zbl 1354.15005
Bhatia, Rajendra; Friedland, Shmuel; Jain, Tanvi
5
2016
Positive definite matrices. Reprint of the 2007 hardback edition. Zbl 1321.15003
Bhatia, Rajendra
20
2015
On symplectic eigenvalues of positive definite matrices. Zbl 1329.15048
Bhatia, Rajendra; Jain, Tanvi
17
2015
Inertia of the matrix \([(p_i+p_j)^r]\). Zbl 1321.15017
Bhatia, Rajendra; Jain, Tanvi
8
2015
The geometric mean of exponentials of Pauli matrices. Zbl 1425.15035
Bhatia, Rajendra; Jain, Tanvi
6
2015
On some positive definite functions. Zbl 1331.42009
Bhatia, Rajendra; Jain, Tanvi
4
2015
Trace inequalities for products of positive definite matrices. Zbl 1288.15022
Bhatia, Rajendra
12
2014
Positive linear maps and spreads of matrices. Zbl 1320.15015
Bhatia, Rajendra; Sharma, Rajesh
10
2014
Positivity properties of the matrix \({\left[(i+j)^{i+j}\right]}\). Zbl 1305.15072
Bhatia, Rajendra; Jain, Tanvi
1
2014
The Riemannian mean of positive matrices. Zbl 1271.15019
Bhatia, Rajendra
14
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
11
2013
Derivatives of tensor powers and their norms. Zbl 1283.15073
Bhatia, Rajendra; Grover, Priyanka; Jain, Tanvi
2
2013
The bipolar decomposition. Zbl 1283.15039
Bhatia, Rajendra
1
2013
Monotonicity of the matrix geometric mean. Zbl 1253.15047
Bhatia, Rajendra; Karandikar, Rajeeva L.
50
2012
Norm inequalities related to the matrix geometric mean. Zbl 1252.15023
Bhatia, Rajendra; Grover, Priyanka
27
2012
Some inequalities for positive linear maps. Zbl 1252.15024
Bhatia, Rajendra; Sharma, Rajesh
23
2012
An interpolating family of means. Zbl 1331.26053
Bhatia, Rajendra; Li, Ren-Cang
3
2012
Collected papers. Volume IV: Particle systems and their large deviations. Edited by Rajendra Bhatia, Abhay Bhatt and K. R. Parthasarathy. Zbl 1311.82004
Varadhan, S. R. S.
1
2012
Min matrices and mean matrices. Zbl 1247.15029
Bhatia, Rajendra
7
2011
Positivity and conditional positivity of Loewner matrices. Zbl 1204.15039
Bhatia, Rajendra; Sano, Takashi
5
2010
Modulus of continuity of the matrix absolute value. Zbl 1226.47010
Bhatia, Rajendra
2
2010
Loewner matrices and operator convexity. Zbl 1172.15010
Bhatia, Rajendra; Sano, Takashi
18
2009
The singular values of \(A+B\) and \(A+iB\). Zbl 1172.47011
Bhatia, Rajendra; Kittaneh, Fuad
12
2009
The operator equation \(\sum _{i=0}^n A^{n-i}XB^i=Y\). Zbl 1167.15010
Bhatia, Rajendra; Uchiyama, Mitsuru
11
2009
Higher order derivatives and perturbation bounds for determinants. Zbl 1177.15006
Bhatia, Rajendra; Jain, Tanvi
9
2009
Notes on functional analysis. Zbl 1175.46001
Bhatia, Rajendra
7
2009
The matrix arithmetic-geometric mean inequality revisited. Zbl 1148.15014
Bhatia, Rajendra; Kittaneh, Fuad
30
2008
Commutators, pinchings, and spectral variation. Zbl 1147.15019
Bhatia, Rajendra; Kittaneh, Fuad
11
2008
Infinite divisibility of GCD matrices. Zbl 1169.15301
Bhatia, Rajendra; Dias da Silva, J. A.
6
2008
Positive definite matrices. Zbl 1133.15017
Bhatia, Rajendra
320
2007
Positive definite matrices. Zbl 1125.15300
Bhatia, Rajendra
118
2007
Mean matrices and infinite divisibility. Zbl 1124.15015
Bhatia, Rajendra; Kosaki, Hideki
32
2007
Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. Zbl 1139.15303
Bhatia, Rajendra
31
2007
Positivity preserving Hadamard matrix functions. Zbl 1130.15011
Bhatia, Rajendra; Elsner, Ludwig
9
2007
Riemannian geometry and matrix geometric means. Zbl 1088.15022
Bhatia, Rajendra; Holbrook, John
112
2006
Interpolating the arithmetic–geometric mean inequality and its operator version. Zbl 1092.15018
Bhatia, Rajendra
41
2006
Infinitely divisible matrices. Zbl 1132.15019
Bhatia, Rajendra
34
2006
Noncommutative geometric means. Zbl 1091.26022
Bhatia, Rajendra; Holbrook, John
10
2006
Corners of normal matrices. Zbl 1119.15026
Bhatia, Rajendra; Choi, Man-Duen
5
2006
Generalized Lyapunov equations and positive definite functions. Zbl 1097.15015
Bhatia, Rajendra; Drissi, Driss
10
2005
Clarkson inequalities with several operators. Zbl 1071.47011
Bhatia, Rajendra; Kittaneh, Fuad
25
2004
On the exponential metric increasing property. Zbl 1052.15013
Bhatia, Rajendra
45
2003
Partial traces and entropy inequalities. Zbl 1027.15007
Bhatia, Rajendra
10
2003
Norm inequalities for operators with positive real part. Zbl 1043.47011
Bhatia, Rajendra; Zhan, Xingzhi
10
2003
Higher order logarithmic derivatives of matrices in the spectral norm. Zbl 1062.15015
Bhatia, Rajendra; Elsner, Ludwig
4
2003
Pinchings and norms of scaled triangular matrices. Zbl 1004.15020
Bhatia, Rajendra; Kahan, William; Li, Ren-Cang
7
2002
Variation of induced linear operators. Zbl 1151.47301
Bhatia, Rajendra; Dias da Silva, J. A.
4
2002
Positive linear maps and the Lyapunov equation. Zbl 1018.15003
Bhatia, Rajendra; Elsner, Ludwig
3
2002
Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. Zbl 1016.15014
Bhatia, Rajendra
16
2001
Compact operators whose real and imaginary parts are positive. Zbl 0965.47013
Bhatia, Rajendra; Zhan, Xingzhi
14
2001
A key inequality for functions of matrices. Zbl 0978.15016
Bhatia, Rajendra; Davis, Chandler
1
2001
Notes on matrix arithmetic-geometric mean inequalities. Zbl 0974.15016
Bhatia, Rajendra; Kittaneh, Fuad
72
2000
Positive definite functions and operator inequalities. Zbl 1037.15021
Bhatia, Rajendra; Parthasarathy, K. R.
45
2000
A better bound on the variance. Zbl 1009.15009
Bhatia, Rajendra; Davis, Chandler
42
2000
Cartesian decompositions and Schatten norms. Zbl 0981.47008
Bhatia, Rajendra; Kittaneh, Fuad
18
2000
More operator versions of the Schwarz inequality. Zbl 0984.46040
Bhatia, Rajendra; Davis, Chandler
16
2000
Pinching, trimming, truncating, and averaging of matrices. Zbl 0984.15024
Bhatia, Rajendra
15
2000
Fréchet derivatives of the power function. Zbl 0988.47011
Bhatia, Rajendra; Holbrook, John A.
8
2000
Orthogonality of matrices and some distance problems. Zbl 0937.15023
Bhatia, Rajendra; Šemrl, Peter
80
1999
Maps on matrices that preserve the spectral radius distance. Zbl 0927.15006
Bhatia, Rajendra; Šemrl, Peter; Sourour, A. R.
31
1999
Derivations, derivatives and chain rules. Zbl 0951.47012
Bhatia, Rajendra; Sinha, Kalyan B.
5
1999
Perturbation of extended enumerations of eigenvalues. Zbl 0933.47015
Bhatia, Rajendra; Davis, Chandler
4
1999
Perturbation theorems for Hermitian elements in Banach algebras. Zbl 0940.46026
Bhatia, Rajendra; Drissi, Driss
1
1999
Norm inequalities for positive operators. Zbl 0912.47005
Bhatia, Rajendra; Kittaneh, Fuad
21
1998
Differentiation of operator functions and perturbation bounds. Zbl 0918.47017
Bhatia, Rajendra; Singh, Dinesh; Sinha, Kalyan B.
11
1998
Distance between commuting tuples of normal operators. Zbl 0931.47001
Bhatia, Rajendra; Elsner, Ludwig; Šemrl, Peter
4
1998
Eigenvalues of symmetrizable matrices. Zbl 0898.15015
Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang
3
1998
How and why to solve the operator equation \(AX-XB=Y\). Zbl 0909.47011
Bhatia, Rajendra; Rosenthal, Peter
94
1997
Approximate isometries on Euclidean spaces. Zbl 0901.46016
Bhatia, Rajendra; Šemrl, Peter
16
1997
A note on the Lyapunov equation. Zbl 0881.15016
Bhatia, Rajendra
10
1997
Some inequalities for norms of commutators. Zbl 0877.15023
Bhatia, Rajendra; Kittaneh, Fuad
9
1997
Some inequalities for commutators and an application to spectral variation. II. Zbl 0901.47012
Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang
7
1997
Spectral variation bounds for diagonalisable matrices. Zbl 0897.15007
Bhatia, Rajendra; Elsner, Ludwig; Krause, Gerd M.
1
1997
Matrix analysis. Zbl 0863.15001
Bhatia, Rajendra
637
1996
On perturbations of matrix pencils with real spectra. II. Zbl 0852.15008
Bhatia, Rajendra; Li, Ren-Cang
9
1996
Distance between Hermitian operators in Schatten classes. Zbl 0857.47013
Bhatia, Rajendra; Šemrl, Peter
3
1996
On joint eigenvalues of commuting matrices. Zbl 0870.15003
Bhatia, R.; Elsner, L.
1
1996
A Cauchy-Schwarz inequality for operators with applications. Zbl 0824.47006
Bhatia, Rajendra; Davis, Chandler
35
1995
Perturbation bounds for the operator absolute value. Zbl 0835.47009
Bhatia, Rajendra
8
1995
On the joint spectral radius of commuting matrices. Zbl 0830.47002
Bhatia, Rajendra; Bhattacharyya, Tirthankar
1
1995
Matrix factorizations and their perturbations. Zbl 0794.15006
Bhatia, Rajendra
24
1994
First and second order perturbation bounds for the operator absolute value. Zbl 0815.47006
Bhatia, Rajendra
14
1994
The Hoffman-Wielandt inequality in infinite dimensions. Zbl 0805.47017
Bhatia, Rajendra; Elsner, Ludwig
14
1994
Variation of real powers of positive operators. Zbl 0836.47011
Bhatia, Rajendra; Sinha, Kalyan B.
12
1994
Variation of the unitary part of a matrix. Zbl 0805.15006
Bhatia, Rajendra; Mukherjea, Kalyan
9
1994
Relations of linking and duality between symmetric gauge functions. Zbl 0808.15016
Bhatia, Rajendra; Davis, Chandler
3
1994
A simple proof of an operator inequality of Jocić and Kittaneh. Zbl 0851.47012
Bhatia, Rajendra
2
1994
More matrix forms of the arithmetic-geometric mean inequality. Zbl 0767.15012
Bhatia, Rajendra; Davis, Chandler
96
1993
A generalization of the Hoffman-Wielandt theorem. Zbl 0774.15011
Bhatia, Rajendra; Bhattacharyya, Tirthankar
7
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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