Edit Profile (opens in new tab) Bhatia, Rajendra Compute Distance To: Compute 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 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 135 Publications have been cited 3,205 times in 2,111 Documents Cited by ▼ Year ▼ Matrix analysis. Zbl 0863.15001Bhatia, Rajendra 637 1996 Positive definite matrices. Zbl 1133.15017Bhatia, Rajendra 320 2007 Positive definite matrices. Zbl 1125.15300Bhatia, Rajendra 118 2007 Riemannian geometry and matrix geometric means. Zbl 1088.15022Bhatia, Rajendra; Holbrook, John 112 2006 More matrix forms of the arithmetic-geometric mean inequality. Zbl 0767.15012Bhatia, Rajendra; Davis, Chandler 96 1993 On the singular values of a product of operators. Zbl 0704.47014Bhatia, Rajendra; Kittaneh, Fuad 95 1990 How and why to solve the operator equation \(AX-XB=Y\). Zbl 0909.47011Bhatia, Rajendra; Rosenthal, Peter 94 1997 Orthogonality of matrices and some distance problems. Zbl 0937.15023Bhatia, Rajendra; Šemrl, Peter 80 1999 Notes on matrix arithmetic-geometric mean inequalities. Zbl 0974.15016Bhatia, Rajendra; Kittaneh, Fuad 72 2000 Perturbation of spectral subspaces and solution of linear operator equations. Zbl 0518.47013Bhatia, Rajendra; Davis, Chandler; McIntosh, Alan 60 1983 Perturbation bounds for matrix eigenvalues. Zbl 0696.15013Bhatia, Rajendra 56 1987 Monotonicity of the matrix geometric mean. Zbl 1253.15047Bhatia, Rajendra; Karandikar, Rajeeva L. 50 2012 On the exponential metric increasing property. Zbl 1052.15013Bhatia, Rajendra 45 2003 Positive definite functions and operator inequalities. Zbl 1037.15021Bhatia, Rajendra; Parthasarathy, K. R. 45 2000 A better bound on the variance. Zbl 1009.15009Bhatia, Rajendra; Davis, Chandler 42 2000 Interpolating the arithmetic–geometric mean inequality and its operator version. Zbl 1092.15018Bhatia, Rajendra 41 2006 Norm inequalities for partitioned operators and an application. Zbl 0688.47005Bhatia, Rajendra; Kittaneh, Fuad 40 1990 A Cauchy-Schwarz inequality for operators with applications. Zbl 0824.47006Bhatia, Rajendra; Davis, Chandler 35 1995 Infinitely divisible matrices. Zbl 1132.15019Bhatia, Rajendra 34 2006 On the Bures-Wasserstein distance between positive definite matrices. Zbl 1437.15044Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 34 2019 Mean matrices and infinite divisibility. Zbl 1124.15015Bhatia, Rajendra; Kosaki, Hideki 32 2007 Maps on matrices that preserve the spectral radius distance. Zbl 0927.15006Bhatia, Rajendra; Šemrl, Peter; Sourour, A. R. 31 1999 Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. Zbl 1139.15303Bhatia, Rajendra 31 2007 The matrix arithmetic-geometric mean inequality revisited. Zbl 1148.15014Bhatia, Rajendra; Kittaneh, Fuad 30 2008 Norm inequalities related to the matrix geometric mean. Zbl 1252.15023Bhatia, Rajendra; Grover, Priyanka 27 2012 Clarkson inequalities with several operators. Zbl 1071.47011Bhatia, Rajendra; Kittaneh, Fuad 25 2004 An extremal problem in Fourier analysis with applications to operator theory. Zbl 0674.42002Bhatia, Rajendra; Davis, Chandler; Koosis, Paul 24 1989 Matrix factorizations and their perturbations. Zbl 0794.15006Bhatia, Rajendra 24 1994 Some inequalities for positive linear maps. Zbl 1252.15024Bhatia, Rajendra; Sharma, Rajesh 23 2012 Some inequalities for norm ideals. Zbl 0632.47005Bhatia, Rajendra 21 1987 Norm inequalities for positive operators. Zbl 0912.47005Bhatia, Rajendra; Kittaneh, Fuad 21 1998 A bound for the spectral variation of a unitary operator. Zbl 0539.15010Bhatia, Rajendra; Davis, Chandler 21 1984 On the Clarkson-McCarthy inequalities. Zbl 0618.47008Bhatia, Rajendra; Holbrook, John A. R. 21 1988 Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix. Zbl 0713.15005Bhatia, R.; Elsner, L.; Krause, G. 21 1990 Positive definite matrices. Reprint of the 2007 hardback edition. Zbl 1321.15003Bhatia, Rajendra 20 2015 Loewner matrices and operator convexity. Zbl 1172.15010Bhatia, Rajendra; Sano, Takashi 18 2009 Cartesian decompositions and Schatten norms. Zbl 0981.47008Bhatia, Rajendra; Kittaneh, Fuad 18 2000 Eigenvalue inequalities associated with the Cartesian decomposition. Zbl 0641.15007Ando, T.; Bhatia, R. 17 1987 On symplectic eigenvalues of positive definite matrices. Zbl 1329.15048Bhatia, Rajendra; Jain, Tanvi 17 2015 Analysis of spectral variation and some inequalities. Zbl 0488.15010Bhatia, Rajendra 17 1982 More operator versions of the Schwarz inequality. Zbl 0984.46040Bhatia, Rajendra; Davis, Chandler 16 2000 Approximate isometries on Euclidean spaces. Zbl 0901.46016Bhatia, Rajendra; Šemrl, Peter 16 1997 Variation of Grassmann powers and spectra. Zbl 0469.15004Bhatia, Rajendra; Friedland, Shmuel 16 1981 Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. Zbl 1016.15014Bhatia, Rajendra 16 2001 Some norm inequalities for matrix means. Zbl 1334.15052Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki 15 2016 On the rate of change of spectra of operators. Zbl 0421.15019Bhatia, Rajendra; Mukherjea, Kalyan K. 15 1979 Pinching, trimming, truncating, and averaging of matrices. Zbl 0984.15024Bhatia, Rajendra 15 2000 First and second order perturbation bounds for the operator absolute value. Zbl 0815.47006Bhatia, Rajendra 14 1994 The Hoffman-Wielandt inequality in infinite dimensions. Zbl 0805.47017Bhatia, Rajendra; Elsner, Ludwig 14 1994 The Riemannian mean of positive matrices. Zbl 1271.15019Bhatia, Rajendra 14 2013 Some inequalities for commutators and an application to spectral variation. Zbl 0752.47005Bhatia, Rajendra; Davis, Chandler; Kittaneh, Fuad 14 1991 Compact operators whose real and imaginary parts are positive. Zbl 0965.47013Bhatia, Rajendra; Zhan, Xingzhi 14 2001 Perturbation inequalities for the absolute value map in norm ideals of operators. Zbl 0698.47029Bhatia, Rajendra 13 1988 The singular values of \(A+B\) and \(A+iB\). Zbl 1172.47011Bhatia, Rajendra; Kittaneh, Fuad 12 2009 Variation of real powers of positive operators. Zbl 0836.47011Bhatia, Rajendra; Sinha, Kalyan B. 12 1994 Trace inequalities for products of positive definite matrices. Zbl 1288.15022Bhatia, Rajendra 12 2014 Short normal paths and spectral variation. Zbl 0568.15012Bhatia, Rajendra; Holbrook, John A. R. 11 1985 Differentiation of operator functions and perturbation bounds. Zbl 0918.47017Bhatia, 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 1167.15010Bhatia, Rajendra; Uchiyama, Mitsuru 11 2009 Commutators, pinchings, and spectral variation. Zbl 1147.15019Bhatia, Rajendra; Kittaneh, Fuad 11 2008 Positive linear maps and spreads of matrices. Zbl 1320.15015Bhatia, Rajendra; Sharma, Rajesh 10 2014 Unitary invariance and spectral variation. Zbl 0657.15019Bhatia, Rajendra; Holbrook, John A. R. 10 1987 A note on the Lyapunov equation. Zbl 0881.15016Bhatia, Rajendra 10 1997 Partial traces and entropy inequalities. Zbl 1027.15007Bhatia, Rajendra 10 2003 Generalized Lyapunov equations and positive definite functions. Zbl 1097.15015Bhatia, Rajendra; Drissi, Driss 10 2005 Noncommutative geometric means. Zbl 1091.26022Bhatia, Rajendra; Holbrook, John 10 2006 Norm inequalities for operators with positive real part. Zbl 1043.47011Bhatia, Rajendra; Zhan, Xingzhi 10 2003 Matrix versions of the Hellinger distance. Zbl 1420.15016Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi 10 2019 Higher order derivatives and perturbation bounds for determinants. Zbl 1177.15006Bhatia, Rajendra; Jain, Tanvi 9 2009 Variation of the unitary part of a matrix. Zbl 0805.15006Bhatia, Rajendra; Mukherjea, Kalyan 9 1994 Positivity preserving Hadamard matrix functions. Zbl 1130.15011Bhatia, Rajendra; Elsner, Ludwig 9 2007 On perturbations of matrix pencils with real spectra. II. Zbl 0852.15008Bhatia, Rajendra; Li, Ren-Cang 9 1996 Some inequalities for norms of commutators. Zbl 0877.15023Bhatia, Rajendra; Kittaneh, Fuad 9 1997 Inertia of the matrix \([(p_i+p_j)^r]\). Zbl 1321.15017Bhatia, Rajendra; Jain, Tanvi 8 2015 Perturbation bounds for the operator absolute value. Zbl 0835.47009Bhatia, Rajendra 8 1995 Strong convexity of sandwiched entropies and related optimization problems. Zbl 1402.49036Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 8 2018 Inequalities for the Wasserstein mean of positive definite matrices. Zbl 1418.15017Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 8 2019 Fréchet derivatives of the power function. Zbl 0988.47011Bhatia, Rajendra; Holbrook, John A. 8 2000 On some perturbation inequalities for operators. Zbl 0659.47016Bhatia, Rajendra; Kittaneh, Fuad 7 1988 Pinchings and norms of scaled triangular matrices. Zbl 1004.15020Bhatia, Rajendra; Kahan, William; Li, Ren-Cang 7 2002 Some inequalities for commutators and an application to spectral variation. II. Zbl 0901.47012Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang 7 1997 Positive linear maps and spreads of matrices. II. Zbl 1391.15075Bhatia, Rajendra; Sharma, Rajesh 7 2016 Min matrices and mean matrices. Zbl 1247.15029Bhatia, Rajendra 7 2011 Notes on functional analysis. Zbl 1175.46001Bhatia, Rajendra 7 2009 A generalization of the Hoffman-Wielandt theorem. Zbl 0774.15011Bhatia, Rajendra; Bhattacharyya, Tirthankar 7 1993 Infinite divisibility of GCD matrices. Zbl 1169.15301Bhatia, Rajendra; Dias da Silva, J. A. 6 2008 Variation of symmetric tensor powers and permanents. Zbl 0552.15014Bhatia, Rajendra 6 1984 The geometric mean of exponentials of Pauli matrices. Zbl 1425.15035Bhatia, Rajendra; Jain, Tanvi 6 2015 Inertia of Loewner matrices. Zbl 1354.15005Bhatia, Rajendra; Friedland, Shmuel; Jain, Tanvi 5 2016 Lectures on functional analysis. Part I: Perturbation by bounded operators. Zbl 0451.47020Bhatia, Rajendra; Parthasarathy, K. R. 5 1978 Derivations, derivatives and chain rules. Zbl 0951.47012Bhatia, Rajendra; Sinha, Kalyan B. 5 1999 Letter to the editor. Zbl 0780.51017Bhatia, Rajendra 5 1991 Positivity and conditional positivity of Loewner matrices. Zbl 1204.15039Bhatia, Rajendra; Sano, Takashi 5 2010 On the rate of change of spectra of operators. II. Zbl 0479.15009Bhatia, Rajendra 5 1981 Corners of normal matrices. Zbl 1119.15026Bhatia, Rajendra; Choi, Man-Duen 5 2006 A unitary analogue of Kato’s theorem on variation of discrete spectra. Zbl 0658.47008Bhatia, Rajendra; Sinha, Kalayan B. 4 1988 Comparing a matrix to its off-diagonal part. Zbl 0674.15018Bhatia, Rajendra; Choi, Man-Duen; Davis, Chandler 4 1989 Perturbation of extended enumerations of eigenvalues. Zbl 0933.47015Bhatia, Rajendra; Davis, Chandler 4 1999 Distance between commuting tuples of normal operators. Zbl 0931.47001Bhatia, Rajendra; Elsner, Ludwig; Šemrl, Peter 4 1998 Variational principles for symplectic eigenvalues. Zbl 1475.15021Bhatia, Rajendra; Jain, Tanvi 2 2021 A Schur-Horn theorem for symplectic eigenvalues. Zbl 1451.15012Bhatia, Rajendra; Jain, Tanvi 3 2020 On the Bures-Wasserstein distance between positive definite matrices. Zbl 1437.15044Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 34 2019 Matrix versions of the Hellinger distance. Zbl 1420.15016Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi 10 2019 Inequalities for the Wasserstein mean of positive definite matrices. Zbl 1418.15017Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 8 2019 Some inequalities for eigenvalues and symplectic eigenvalues of positive definite matrices. Zbl 1425.15015Bhatia, Rajendra 2 2019 Correction to: “Matrix versions of the Hellinger distance”. Zbl 1435.15018Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi 2 2019 Procrustes problems in Riemannian manifolds of positive definite matrices. Zbl 1404.15025Bhatia, Rajendra; Congedo, Marco 1 2019 Strong convexity of sandwiched entropies and related optimization problems. Zbl 1402.49036Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 8 2018 Some norm inequalities for matrix means. Zbl 1334.15052Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki 15 2016 Positive linear maps and spreads of matrices. II. Zbl 1391.15075Bhatia, Rajendra; Sharma, Rajesh 7 2016 Inertia of Loewner matrices. Zbl 1354.15005Bhatia, Rajendra; Friedland, Shmuel; Jain, Tanvi 5 2016 Positive definite matrices. Reprint of the 2007 hardback edition. Zbl 1321.15003Bhatia, Rajendra 20 2015 On symplectic eigenvalues of positive definite matrices. Zbl 1329.15048Bhatia, Rajendra; Jain, Tanvi 17 2015 Inertia of the matrix \([(p_i+p_j)^r]\). Zbl 1321.15017Bhatia, Rajendra; Jain, Tanvi 8 2015 The geometric mean of exponentials of Pauli matrices. Zbl 1425.15035Bhatia, Rajendra; Jain, Tanvi 6 2015 On some positive definite functions. Zbl 1331.42009Bhatia, Rajendra; Jain, Tanvi 4 2015 Trace inequalities for products of positive definite matrices. Zbl 1288.15022Bhatia, Rajendra 12 2014 Positive linear maps and spreads of matrices. Zbl 1320.15015Bhatia, Rajendra; Sharma, Rajesh 10 2014 Positivity properties of the matrix \({\left[(i+j)^{i+j}\right]}\). Zbl 1305.15072Bhatia, Rajendra; Jain, Tanvi 1 2014 The Riemannian mean of positive matrices. Zbl 1271.15019Bhatia, 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 1283.15073Bhatia, Rajendra; Grover, Priyanka; Jain, Tanvi 2 2013 The bipolar decomposition. Zbl 1283.15039Bhatia, Rajendra 1 2013 Monotonicity of the matrix geometric mean. Zbl 1253.15047Bhatia, Rajendra; Karandikar, Rajeeva L. 50 2012 Norm inequalities related to the matrix geometric mean. Zbl 1252.15023Bhatia, Rajendra; Grover, Priyanka 27 2012 Some inequalities for positive linear maps. Zbl 1252.15024Bhatia, Rajendra; Sharma, Rajesh 23 2012 An interpolating family of means. Zbl 1331.26053Bhatia, 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 1311.82004Varadhan, S. R. S. 1 2012 Min matrices and mean matrices. Zbl 1247.15029Bhatia, Rajendra 7 2011 Positivity and conditional positivity of Loewner matrices. Zbl 1204.15039Bhatia, Rajendra; Sano, Takashi 5 2010 Modulus of continuity of the matrix absolute value. Zbl 1226.47010Bhatia, Rajendra 2 2010 Loewner matrices and operator convexity. Zbl 1172.15010Bhatia, Rajendra; Sano, Takashi 18 2009 The singular values of \(A+B\) and \(A+iB\). Zbl 1172.47011Bhatia, Rajendra; Kittaneh, Fuad 12 2009 The operator equation \(\sum _{i=0}^n A^{n-i}XB^i=Y\). Zbl 1167.15010Bhatia, Rajendra; Uchiyama, Mitsuru 11 2009 Higher order derivatives and perturbation bounds for determinants. Zbl 1177.15006Bhatia, Rajendra; Jain, Tanvi 9 2009 Notes on functional analysis. Zbl 1175.46001Bhatia, Rajendra 7 2009 The matrix arithmetic-geometric mean inequality revisited. Zbl 1148.15014Bhatia, Rajendra; Kittaneh, Fuad 30 2008 Commutators, pinchings, and spectral variation. Zbl 1147.15019Bhatia, Rajendra; Kittaneh, Fuad 11 2008 Infinite divisibility of GCD matrices. Zbl 1169.15301Bhatia, Rajendra; Dias da Silva, J. A. 6 2008 Positive definite matrices. Zbl 1133.15017Bhatia, Rajendra 320 2007 Positive definite matrices. Zbl 1125.15300Bhatia, Rajendra 118 2007 Mean matrices and infinite divisibility. Zbl 1124.15015Bhatia, Rajendra; Kosaki, Hideki 32 2007 Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. Zbl 1139.15303Bhatia, Rajendra 31 2007 Positivity preserving Hadamard matrix functions. Zbl 1130.15011Bhatia, Rajendra; Elsner, Ludwig 9 2007 Riemannian geometry and matrix geometric means. Zbl 1088.15022Bhatia, Rajendra; Holbrook, John 112 2006 Interpolating the arithmetic–geometric mean inequality and its operator version. Zbl 1092.15018Bhatia, Rajendra 41 2006 Infinitely divisible matrices. Zbl 1132.15019Bhatia, Rajendra 34 2006 Noncommutative geometric means. Zbl 1091.26022Bhatia, Rajendra; Holbrook, John 10 2006 Corners of normal matrices. Zbl 1119.15026Bhatia, Rajendra; Choi, Man-Duen 5 2006 Generalized Lyapunov equations and positive definite functions. Zbl 1097.15015Bhatia, Rajendra; Drissi, Driss 10 2005 Clarkson inequalities with several operators. Zbl 1071.47011Bhatia, Rajendra; Kittaneh, Fuad 25 2004 On the exponential metric increasing property. Zbl 1052.15013Bhatia, Rajendra 45 2003 Partial traces and entropy inequalities. Zbl 1027.15007Bhatia, Rajendra 10 2003 Norm inequalities for operators with positive real part. Zbl 1043.47011Bhatia, Rajendra; Zhan, Xingzhi 10 2003 Higher order logarithmic derivatives of matrices in the spectral norm. Zbl 1062.15015Bhatia, Rajendra; Elsner, Ludwig 4 2003 Pinchings and norms of scaled triangular matrices. Zbl 1004.15020Bhatia, Rajendra; Kahan, William; Li, Ren-Cang 7 2002 Variation of induced linear operators. Zbl 1151.47301Bhatia, Rajendra; Dias da Silva, J. A. 4 2002 Positive linear maps and the Lyapunov equation. Zbl 1018.15003Bhatia, Rajendra; Elsner, Ludwig 3 2002 Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. Zbl 1016.15014Bhatia, Rajendra 16 2001 Compact operators whose real and imaginary parts are positive. Zbl 0965.47013Bhatia, Rajendra; Zhan, Xingzhi 14 2001 A key inequality for functions of matrices. Zbl 0978.15016Bhatia, Rajendra; Davis, Chandler 1 2001 Notes on matrix arithmetic-geometric mean inequalities. Zbl 0974.15016Bhatia, Rajendra; Kittaneh, Fuad 72 2000 Positive definite functions and operator inequalities. Zbl 1037.15021Bhatia, Rajendra; Parthasarathy, K. R. 45 2000 A better bound on the variance. Zbl 1009.15009Bhatia, Rajendra; Davis, Chandler 42 2000 Cartesian decompositions and Schatten norms. Zbl 0981.47008Bhatia, Rajendra; Kittaneh, Fuad 18 2000 More operator versions of the Schwarz inequality. Zbl 0984.46040Bhatia, Rajendra; Davis, Chandler 16 2000 Pinching, trimming, truncating, and averaging of matrices. Zbl 0984.15024Bhatia, Rajendra 15 2000 Fréchet derivatives of the power function. Zbl 0988.47011Bhatia, Rajendra; Holbrook, John A. 8 2000 Orthogonality of matrices and some distance problems. Zbl 0937.15023Bhatia, Rajendra; Šemrl, Peter 80 1999 Maps on matrices that preserve the spectral radius distance. Zbl 0927.15006Bhatia, Rajendra; Šemrl, Peter; Sourour, A. R. 31 1999 Derivations, derivatives and chain rules. Zbl 0951.47012Bhatia, Rajendra; Sinha, Kalyan B. 5 1999 Perturbation of extended enumerations of eigenvalues. Zbl 0933.47015Bhatia, Rajendra; Davis, Chandler 4 1999 Perturbation theorems for Hermitian elements in Banach algebras. Zbl 0940.46026Bhatia, Rajendra; Drissi, Driss 1 1999 Norm inequalities for positive operators. Zbl 0912.47005Bhatia, Rajendra; Kittaneh, Fuad 21 1998 Differentiation of operator functions and perturbation bounds. Zbl 0918.47017Bhatia, Rajendra; Singh, Dinesh; Sinha, Kalyan B. 11 1998 Distance between commuting tuples of normal operators. Zbl 0931.47001Bhatia, Rajendra; Elsner, Ludwig; Šemrl, Peter 4 1998 Eigenvalues of symmetrizable matrices. Zbl 0898.15015Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang 3 1998 How and why to solve the operator equation \(AX-XB=Y\). Zbl 0909.47011Bhatia, Rajendra; Rosenthal, Peter 94 1997 Approximate isometries on Euclidean spaces. Zbl 0901.46016Bhatia, Rajendra; Šemrl, Peter 16 1997 A note on the Lyapunov equation. Zbl 0881.15016Bhatia, Rajendra 10 1997 Some inequalities for norms of commutators. Zbl 0877.15023Bhatia, Rajendra; Kittaneh, Fuad 9 1997 Some inequalities for commutators and an application to spectral variation. II. Zbl 0901.47012Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang 7 1997 Spectral variation bounds for diagonalisable matrices. Zbl 0897.15007Bhatia, Rajendra; Elsner, Ludwig; Krause, Gerd M. 1 1997 Matrix analysis. Zbl 0863.15001Bhatia, Rajendra 637 1996 On perturbations of matrix pencils with real spectra. II. Zbl 0852.15008Bhatia, Rajendra; Li, Ren-Cang 9 1996 Distance between Hermitian operators in Schatten classes. Zbl 0857.47013Bhatia, Rajendra; Šemrl, Peter 3 1996 On joint eigenvalues of commuting matrices. Zbl 0870.15003Bhatia, R.; Elsner, L. 1 1996 A Cauchy-Schwarz inequality for operators with applications. Zbl 0824.47006Bhatia, Rajendra; Davis, Chandler 35 1995 Perturbation bounds for the operator absolute value. Zbl 0835.47009Bhatia, Rajendra 8 1995 On the joint spectral radius of commuting matrices. Zbl 0830.47002Bhatia, Rajendra; Bhattacharyya, Tirthankar 1 1995 Matrix factorizations and their perturbations. Zbl 0794.15006Bhatia, Rajendra 24 1994 First and second order perturbation bounds for the operator absolute value. Zbl 0815.47006Bhatia, Rajendra 14 1994 The Hoffman-Wielandt inequality in infinite dimensions. Zbl 0805.47017Bhatia, Rajendra; Elsner, Ludwig 14 1994 Variation of real powers of positive operators. Zbl 0836.47011Bhatia, Rajendra; Sinha, Kalyan B. 12 1994 Variation of the unitary part of a matrix. Zbl 0805.15006Bhatia, Rajendra; Mukherjea, Kalyan 9 1994 Relations of linking and duality between symmetric gauge functions. Zbl 0808.15016Bhatia, Rajendra; Davis, Chandler 3 1994 A simple proof of an operator inequality of Jocić and Kittaneh. Zbl 0851.47012Bhatia, Rajendra 2 1994 More matrix forms of the arithmetic-geometric mean inequality. Zbl 0767.15012Bhatia, Rajendra; Davis, Chandler 96 1993 A generalization of the Hoffman-Wielandt theorem. Zbl 0774.15011Bhatia, Rajendra; Bhattacharyya, Tirthankar 7 1993 ...and 35 more Documents all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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