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Bhatia, Rajendra

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 Author ID: bhatia.rajendra Published as: Bhatia, R.; Bhatia, Rajendra External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 159 Publications since 1978, including 21 Books Biographic References: 2 Publications
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Co-Authors

 46 single-authored 16 Kittaneh, Fuad 15 Jain, Tanvi 13 Davis, Chandler 11 Elsner, Ludwig F. 7 Holbrook, John A. R. 6 Šemrl, Peter 5 Li, Rencang 4 Lim, Yongdo 4 Pal, Arup Kumar 4 Rangarajan, Gita 4 Sinha, Kalyan B. 4 Srinivas, Vasudevan 4 Vanninathan, Muthusamy 3 Bhattacharyya, Tirthankar 3 Mukherjea, Kalyan K. 3 Sharma, Rajesh 2 Choi, Man-Duen 2 Drissi, Driss 2 Friedland, Shmuel 2 Gaubert, Stéphane 2 Grover, Priyanka 2 Kirkland, Steve J. 2 Krause, Gerd M. 2 Parthasarathy, Kalyanapuram Rangachari 2 Perdigão Dias da Silva, José António 2 Rosenthal, Peter 2 Sano, Takashi 2 Zhan, Xingzhi 1 Ando, T. jun. 1 Bhatt, Abhay G. 1 Bunse-Gerstner, Angelika 1 Congedo, Marco 1 Guralnick, Robert Michael 1 Horn, Roger Alan 1 Kahan, William Morton 1 Karandikar, Rajeeva L. 1 Koosis, Paul 1 Kosaki, Hideki 1 Li, Chi-Kwong 1 McIntosh, Alan 1 Mehrmann, Volker 1 Nielsen, Frank 1 Okube, K. 1 Olesky, D. Dale 1 Omladič, Matjaž 1 Poithasarathy, K. R. 1 Prasad, K. Manjunatha 1 Puntanen, Simo 1 Rajan, Conjeeveram S. 1 Singh, Ajit Iqbal 1 Singh, Dinesh Chandra 1 Sourour, Ahmed Ramzi 1 Tsatsoneros, M. J. 1 Uchiyama, Mitsuru 1 Wolkowicz, Henry 1 Yamazaki, Takeaki
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Serials

 43 Linear Algebra and its Applications 7 American Mathematical Monthly 7 Linear and Multilinear Algebra 6 SIAM Journal on Matrix Analysis and Applications 6 Texts and Readings in Mathematics 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 The Mathematics Student 2 Aequationes Mathematicae 2 Expositiones Mathematicae 2 ELA. The Electronic Journal of Linear Algebra 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Acta Scientiarum Mathematicarum 1 BIT 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 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 Journal of Spectral Theory 1 Mathematics Newsletter 1 Princeton Series in Applied Mathematics 1 Classroom Resource Materials
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Fields

 106 Linear and multilinear algebra; matrix theory (15-XX) 67 Operator theory (47-XX) 15 Functional analysis (46-XX) 13 General and overarching topics; collections (00-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Numerical analysis (65-XX) 9 Real functions (26-XX) 8 History and biography (01-XX) 8 Differential geometry (53-XX) 7 Quantum theory (81-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Information and communication theory, circuits (94-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-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

133 Publications have been cited 3,079 times in 1,989 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
How and why to solve the operator equation $$AX-XB=Y$$. Zbl 0909.47011
Bhatia, Rajendra; Rosenthal, Peter
1997
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
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
Notes on matrix arithmetic-geometric mean inequalities. Zbl 0974.15016
2000
Orthogonality of matrices and some distance problems. Zbl 0937.15023
Bhatia, Rajendra; Šemrl, Peter
1999
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
Norm inequalities for partitioned operators and an application. Zbl 0688.47005
1990
Interpolating the arithmetic–geometric mean inequality and its operator version. Zbl 1092.15018
Bhatia, Rajendra
2006
A better bound on the variance. Zbl 1009.15009
Bhatia, Rajendra; Davis, Chandler
2000
A Cauchy-Schwarz inequality for operators with applications. Zbl 0824.47006
Bhatia, Rajendra; Davis, Chandler
1995
Mean matrices and infinite divisibility. Zbl 1124.15015
Bhatia, Rajendra; Kosaki, Hideki
2007
Infinitely divisible matrices. Zbl 1132.15019
Bhatia, Rajendra
2006
Maps on matrices that preserve the spectral radius distance. Zbl 0927.15006
Bhatia, Rajendra; Šemrl, Peter; Sourour, A. R.
1999
The matrix arithmetic-geometric mean inequality revisited. Zbl 1148.15014
2008
Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. Zbl 1139.15303
Bhatia, Rajendra
2007
Norm inequalities related to the matrix geometric mean. Zbl 1252.15023
Bhatia, Rajendra; Grover, Priyanka
2012
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
Clarkson inequalities with several operators. Zbl 1071.47011
2004
A bound for the spectral variation of a unitary operator. Zbl 0539.15010
Bhatia, Rajendra; Davis, Chandler
1984
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
Some inequalities for norm ideals. Zbl 0632.47005
Bhatia, Rajendra
1987
Norm inequalities for positive operators. Zbl 0912.47005
1998
Analysis of spectral variation and some inequalities. Zbl 0488.15010
Bhatia, Rajendra
1982
Eigenvalue inequalities associated with the Cartesian decomposition. Zbl 0641.15007
Ando, T.; Bhatia, R.
1987
On the Bures-Wasserstein distance between positive definite matrices. Zbl 1437.15044
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
2019
Some inequalities for positive linear maps. Zbl 1252.15024
Bhatia, Rajendra; Sharma, Rajesh
2012
Variation of Grassmann powers and spectra. Zbl 0469.15004
Bhatia, Rajendra; Friedland, Shmuel
1981
Loewner matrices and operator convexity. Zbl 1172.15010
Bhatia, Rajendra; Sano, Takashi
2009
On the Clarkson-McCarthy inequalities. Zbl 0618.47008
Bhatia, Rajendra; Holbrook, John A. R.
1988
More operator versions of the Schwarz inequality. Zbl 0984.46040
Bhatia, Rajendra; Davis, Chandler
2000
Cartesian decompositions and Schatten norms. Zbl 0981.47008
2000
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
Approximate isometries on Euclidean spaces. Zbl 0901.46016
Bhatia, Rajendra; Šemrl, Peter
1997
First and second order perturbation bounds for the operator absolute value. Zbl 0815.47006
Bhatia, Rajendra
1994
Perturbation inequalities for the absolute value map in norm ideals of operators. Zbl 0698.47029
Bhatia, Rajendra
1988
Some norm inequalities for matrix means. Zbl 1334.15052
Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki
2016
Compact operators whose real and imaginary parts are positive. Zbl 0965.47013
Bhatia, Rajendra; Zhan, Xingzhi
2001
The Hoffman-Wielandt inequality in infinite dimensions. Zbl 0805.47017
Bhatia, Rajendra; Elsner, Ludwig
1994
Some inequalities for commutators and an application to spectral variation. Zbl 0752.47005
Bhatia, Rajendra; Davis, Chandler; Kittaneh, Fuad
1991
Short normal paths and spectral variation. Zbl 0568.15012
Bhatia, Rajendra; Holbrook, John A. R.
1985
The Riemannian mean of positive matrices. Zbl 1271.15019
Bhatia, Rajendra
2013
Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. Zbl 1016.15014
Bhatia, Rajendra
2001
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
On symplectic eigenvalues of positive definite matrices. Zbl 1329.15048
Bhatia, Rajendra; Jain, Tanvi
2015
Positive definite matrices. Reprint of the 2007 hardback edition. Zbl 1321.15003
Bhatia, Rajendra
2015
Trace inequalities for products of positive definite matrices. Zbl 1288.15022
Bhatia, Rajendra
2014
Higher order derivatives and perturbation bounds for determinants. Zbl 1177.15006
Bhatia, Rajendra; Jain, Tanvi
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
Commutators, pinchings, and spectral variation. Zbl 1147.15019
2008
Generalized Lyapunov equations and positive definite functions. Zbl 1097.15015
Bhatia, Rajendra; Drissi, Driss
2005
Differentiation of operator functions and perturbation bounds. Zbl 0918.47017
Bhatia, Rajendra; Singh, Dinesh; Sinha, Kalyan B.
1998
Some inequalities for norms of commutators. Zbl 0877.15023
1997
On perturbations of matrix pencils with real spectra. II. Zbl 0852.15008
Bhatia, Rajendra; Li, Ren-Cang
1996
Unitary invariance and spectral variation. Zbl 0657.15019
Bhatia, Rajendra; Holbrook, John A. R.
1987
Positive linear maps and spreads of matrices. Zbl 1320.15015
Bhatia, Rajendra; Sharma, Rajesh
2014
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
Nielsen, Frank (ed.); Bhatia, Rajendra (ed.)
2013
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
Inertia of the matrix $$[(p_i+p_j)^r]$$. Zbl 1321.15017
Bhatia, Rajendra; Jain, Tanvi
2015
Positivity preserving Hadamard matrix functions. Zbl 1130.15011
Bhatia, Rajendra; Elsner, Ludwig
2007
Partial traces and entropy inequalities. Zbl 1027.15007
Bhatia, Rajendra
2003
Fréchet derivatives of the power function. Zbl 0988.47011
Bhatia, Rajendra; Holbrook, John A.
2000
A note on the Lyapunov equation. Zbl 0881.15016
Bhatia, Rajendra
1997
Perturbation bounds for the operator absolute value. Zbl 0835.47009
Bhatia, Rajendra
1995
A generalization of the Hoffman-Wielandt theorem. Zbl 0774.15011
Bhatia, Rajendra; Bhattacharyya, Tirthankar
1993
Min matrices and mean matrices. Zbl 1247.15029
Bhatia, Rajendra
2011
Some inequalities for commutators and an application to spectral variation. II. Zbl 0901.47012
Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang
1997
Comparing a matrix to its off-diagonal part. Zbl 0674.15018
Bhatia, Rajendra; Choi, Man-Duen; Davis, Chandler
1989
On some perturbation inequalities for operators. Zbl 0659.47016
1988
Variation of symmetric tensor powers and permanents. Zbl 0552.15014
Bhatia, Rajendra
1984
Positive linear maps and spreads of matrices. II. Zbl 1391.15075
Bhatia, Rajendra; Sharma, Rajesh
2016
Notes on functional analysis. Zbl 1175.46001
Bhatia, Rajendra
2009
Pinchings and norms of scaled triangular matrices. Zbl 1004.15020
Bhatia, Rajendra; Kahan, William; Li, Ren-Cang
2002
Letter to the editor. Zbl 0780.51017
Bhatia, Rajendra
1991
On the rate of change of spectra of operators. II. Zbl 0479.15009
Bhatia, Rajendra
1981
Lectures on functional analysis. Part I: Perturbation by bounded operators. Zbl 0451.47020
Bhatia, Rajendra; Parthasarathy, K. R.
1978
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
Strong convexity of sandwiched entropies and related optimization problems. Zbl 1402.49036
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo
2018
On some positive definite functions. Zbl 1331.42009
Bhatia, Rajendra; Jain, Tanvi
2015
Modulus of continuity of the matrix absolute value. Zbl 1226.47010
Bhatia, Rajendra
2010
Corners of normal matrices. Zbl 1119.15026
Bhatia, Rajendra; Choi, Man-Duen
2006
Fourier series. Zbl 1060.42001
Bhatia, Rajendra
2005
Higher order logarithmic derivatives of matrices in the spectral norm. Zbl 1062.15015
Bhatia, Rajendra; Elsner, Ludwig
2003
Variation of induced linear operators. Zbl 1151.47301
Bhatia, Rajendra; Dias da Silva, J. A.
2002
Derivations, derivatives and chain rules. Zbl 0951.47012
Bhatia, Rajendra; Sinha, Kalyan B.
1999
Distance between commuting tuples of normal operators. Zbl 0931.47001
Bhatia, Rajendra; Elsner, Ludwig; Šemrl, Peter
1998
A softer, stronger Lidskii theorem. Zbl 0675.15001
Bhatia, Rajendra; Holbrook, John A. R.
1989
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
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
On symplectic eigenvalues of positive definite matrices. Zbl 1329.15048
Bhatia, Rajendra; Jain, Tanvi
2015
Positive definite matrices. Reprint of the 2007 hardback edition. Zbl 1321.15003
Bhatia, Rajendra
2015
Inertia of the matrix $$[(p_i+p_j)^r]$$. Zbl 1321.15017
Bhatia, Rajendra; Jain, Tanvi
2015
On some positive definite functions. Zbl 1331.42009
Bhatia, Rajendra; Jain, Tanvi
2015
The geometric mean of exponentials of Pauli matrices. Zbl 1425.15035
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
Nielsen, Frank (ed.); Bhatia, Rajendra (ed.)
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
Min matrices and mean matrices. Zbl 1247.15029
Bhatia, Rajendra
2011
Modulus of continuity of the matrix absolute value. Zbl 1226.47010
Bhatia, Rajendra
2010
Positivity and conditional positivity of Loewner matrices. Zbl 1204.15039
Bhatia, Rajendra; Sano, Takashi
2010
Loewner matrices and operator convexity. Zbl 1172.15010
Bhatia, Rajendra; Sano, Takashi
2009
Higher order derivatives and perturbation bounds for determinants. Zbl 1177.15006
Bhatia, Rajendra; Jain, Tanvi
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
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
Fourier series. Zbl 1060.42001
Bhatia, Rajendra
2005
Clarkson inequalities with several operators. Zbl 1071.47011
2004
On the exponential metric increasing property. Zbl 1052.15013
Bhatia, Rajendra
2003
Norm inequalities for operators with positive real part. Zbl 1043.47011
Bhatia, Rajendra; Zhan, Xingzhi
2003
Partial traces and entropy inequalities. Zbl 1027.15007
Bhatia, Rajendra
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
Compact operators whose real and imaginary parts are positive. Zbl 0965.47013
Bhatia, Rajendra; Zhan, Xingzhi
2001
Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. Zbl 1016.15014
Bhatia, Rajendra
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
More operator versions of the Schwarz inequality. Zbl 0984.46040
Bhatia, Rajendra; Davis, Chandler
2000
Cartesian decompositions and Schatten norms. Zbl 0981.47008
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
Some inequalities for norms of commutators. Zbl 0877.15023
1997
A note on the Lyapunov equation. Zbl 0881.15016
Bhatia, Rajendra
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
Fourier series. Zbl 0940.42001
Bhatia, Rajendra
1993
A Henrici theorem for joint spectra of commuting matrices. Zbl 0790.15015
Bhatia, Rajendra; Bhattacharyya, Tirthankar
1993
...and 33 more Documents
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Cited by 2,222 Authors

 79 Bhatia, Rajendra 72 Kittaneh, Fuad 52 Lim, Yongdo 40 Serra-Capizzano, Stefano 36 Hiai, Fumio 31 Moslehian, Mohammad Sal 22 Li, Rencang 21 Bourin, Jean-Christophe 21 Uchiyama, Mitsuru 19 Hirzallah, Omar 18 Garoni, Carlo 18 Kim, Sejong 18 Massey, Pedro G. 17 Stojanoff, Demetrio 16 Lee, Hosoo 16 Li, Chi-Kwong 16 Niezgoda, Marek 16 Seo, Yuki 15 Audenaert, Koenraad M. R. 15 Jain, Tanvi 15 Sababheh, Mohamad Suboh 14 Dragomir, Sever Silvestru 14 Elsner, Ludwig F. 14 Lin, Minghua 14 Moradi, Hamid Reza 14 Tam, Tin-Yau 13 Sain, Debmalya 12 Aujla, Jaspal Singh 11 Conde, Cristian M. 11 Holbrook, John A. R. 11 Pálfia, Miklós 11 Petz, Dénes 11 Sesana, Debora 11 Singh, Mandeep 10 Dinh Trung Hoa 10 Gil’, Michael Iosif 10 Kian, Mohsen 10 Lawson, Jimmie Don 10 Rastegin, Alexey E. 10 Sra, Suvrit 10 Zou, Limin 9 Antezana, Jorge 9 Furuichi, Shigeru 9 Furuta, Takayuki 9 Kosaki, Hideki 9 Lee, Eun-Young 9 Li, Wen 9 Paul, Kallol 9 Ruiz, Mariano A. 9 Sendov, Hristo S. 9 Zhan, Xingzhi 8 Bourhim, Abdellatif 8 Drury, Stephen William 8 Fujii, Jun Ichi 8 Jocić, Danko R. 8 Krnić, Mario 8 Larotonda, Gabriel 8 Molnár, Lajos 8 Sano, Takashi 8 Zhang, Fuzhen 7 Arambašić, Ljiljana 7 Davis, Chandler 7 Dumitru, Raluca 7 Guillot, Dominique 7 Hayajneh, Mostafa 7 Khare, Apoorva 7 Rajić, Rajna 7 Rodman, Leiba X. 7 Saito, Kichisuke 7 Šemrl, Peter 7 Sharma, Rajesh 7 Tanaka, Ryotaro 7 Wada, Shuhei 7 Zamani, Ali 6 Bakherad, Mojtaba 6 Ding, Chao 6 Franco, Jose A. 6 Friedland, Shmuel 6 Fu, Xiaohui 6 Grover, Priyanka 6 Gumus, Ibrahim Halil 6 Haukkanen, Pentti 6 Hayajneh, Saja 6 Horn, Roger Alan 6 Huhtanen, Marko 6 Iannazzo, Bruno 6 Kapil, Yogesh 6 Kum, Sangho 6 Kuzma, Bojan 6 Li, Hanyu 6 Najafi, Hamed 6 Nechita, Ion 6 Omidvar, Mohsen Erfanian 6 O’Reilly, Małgorzata M. 6 Pečarić, Josip 6 Rajaratnam, Bala 6 Sun, Defeng 6 Taghavi Jelodar, Ali 6 Tropp, Joel A. 6 Wójcik, Paweł ...and 2,122 more Authors
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Cited in 351 Serials

 531 Linear Algebra and its Applications 82 Linear and Multilinear Algebra 68 Journal of Mathematical Analysis and Applications 42 Proceedings of the American Mathematical Society 41 Journal of Mathematical Physics 39 Journal of Functional Analysis 30 The Annals of Statistics 26 Communications in Mathematical Physics 25 Integral Equations and Operator Theory 23 SIAM Journal on Matrix Analysis and Applications 21 Journal of Inequalities and Applications 19 Mathematical Inequalities & Applications 18 ELA. The Electronic Journal of Linear Algebra 18 Positivity 17 Letters in Mathematical Physics 16 Journal of Statistical Physics 16 Advances in Operator Theory 15 Applied Mathematics and Computation 15 Transactions of the American Mathematical Society 15 Complex Analysis and Operator Theory 15 Journal of Mathematical Inequalities 14 Mathematics of Computation 14 Banach Journal of Mathematical Analysis 13 Quantum Information Processing 12 Journal of Computational and Applied Mathematics 12 Numerische Mathematik 11 Mathematical Programming. Series A. Series B 10 Physics Letters. A 10 Operators and Matrices 10 Annals of Functional Analysis 9 Probability Theory and Related Fields 9 International Journal of Mathematics 8 Reviews in Mathematical Physics 8 Results in Mathematics 8 Bulletin of the Iranian Mathematical Society 8 The Journal of Fourier Analysis and Applications 8 Special Matrices 7 Computers & Mathematics with Applications 7 Advances in Mathematics 7 Numerical Functional Analysis and Optimization 7 Aequationes Mathematicae 7 Numerical Linear Algebra with Applications 7 Advances in Computational Mathematics 7 Foundations of Computational Mathematics 7 Mediterranean Journal of Mathematics 6 Bulletin of the Australian Mathematical Society 6 Discrete Applied Mathematics 6 Reports on Mathematical Physics 6 The Annals of Probability 6 Automatica 6 BIT 6 Calcolo 6 Journal of Multivariate Analysis 6 Journal of Optimization Theory and Applications 6 Mathematische Annalen 6 Statistics & Probability Letters 6 Stochastic Processes and their Applications 6 SIAM Journal on Scientific Computing 6 Applied and Computational Harmonic Analysis 6 Abstract and Applied Analysis 6 Journal of High Energy Physics 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Journal of Machine Learning Research (JMLR) 6 Electronic Journal of Statistics 5 Indian Journal of Pure & Applied Mathematics 5 Journal of the Franklin Institute 5 Journal of Approximation Theory 5 Journal of Econometrics 5 Numerical Algorithms 5 Annals of Physics 5 Expositiones Mathematicae 5 Bernoulli 5 Journal of the Australian Mathematical Society 5 Physical Review A, Third Series 5 Journal of Spectral Theory 4 Communications in Algebra 4 Mathematical Notes 4 Rocky Mountain Journal of Mathematics 4 The Mathematical Intelligencer 4 Mathematische Zeitschrift 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Journal of Theoretical Probability 4 Journal of Elasticity 4 SIAM Review 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Indagationes Mathematicae. New Series 4 SIAM Journal on Optimization 4 Journal of Mathematical Sciences (New York) 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Acta Mathematica Sinica. English Series 4 Physical Review Letters 4 Journal of Applied Mathematics 4 Journal of Physics A: Mathematical and Theoretical 4 Science China. Mathematics 3 Archive for Rational Mechanics and Analysis 3 Discrete Mathematics 3 International Journal of Theoretical Physics 3 Israel Journal of Mathematics 3 Journal of Computational Physics 3 Lithuanian Mathematical Journal ...and 251 more Serials
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Cited in 60 Fields

 929 Linear and multilinear algebra; matrix theory (15-XX) 731 Operator theory (47-XX) 251 Numerical analysis (65-XX) 228 Functional analysis (46-XX) 183 Quantum theory (81-XX) 141 Statistics (62-XX) 132 Probability theory and stochastic processes (60-XX) 123 Real functions (26-XX) 112 Information and communication theory, circuits (94-XX) 67 Operations research, mathematical programming (90-XX) 57 Differential geometry (53-XX) 50 Combinatorics (05-XX) 47 Partial differential equations (35-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 45 Computer science (68-XX) 44 Statistical mechanics, structure of matter (82-XX) 35 Systems theory; control (93-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 34 Global analysis, analysis on manifolds (58-XX) 30 Functions of a complex variable (30-XX) 30 Dynamical systems and ergodic theory (37-XX) 26 Convex and discrete geometry (52-XX) 24 Topological groups, Lie groups (22-XX) 24 Ordinary differential equations (34-XX) 24 Difference and functional equations (39-XX) 19 Geometry (51-XX) 17 Group theory and generalizations (20-XX) 17 Approximations and expansions (41-XX) 15 Measure and integration (28-XX) 14 Number theory (11-XX) 14 Biology and other natural sciences (92-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 General topology (54-XX) 12 Mechanics of deformable solids (74-XX) 11 Special functions (33-XX) 10 Nonassociative rings and algebras (17-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Relativity and gravitational theory (83-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Abstract harmonic analysis (43-XX) 8 Integral equations (45-XX) 7 Fluid mechanics (76-XX) 6 Field theory and polynomials (12-XX) 6 Algebraic geometry (14-XX) 5 History and biography (01-XX) 4 Integral transforms, operational calculus (44-XX) 4 Optics, electromagnetic theory (78-XX) 3 Associative rings and algebras (16-XX) 3 $$K$$-theory (19-XX) 3 Sequences, series, summability (40-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 2 Potential theory (31-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Commutative algebra (13-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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