Edit Profile Bhatia, Rajendra Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 133 Publications have been cited 3,079 times in 1,989 Documents Cited by ▼ Year ▼ Matrix analysis. Zbl 0863.15001Bhatia, Rajendra 886 1996 Positive definite matrices. Zbl 1133.15017Bhatia, Rajendra 251 2007 Positive definite matrices. Zbl 1125.15300Bhatia, Rajendra 148 2007 Riemannian geometry and matrix geometric means. Zbl 1088.15022Bhatia, Rajendra; Holbrook, John 94 2006 How and why to solve the operator equation \(AX-XB=Y\). Zbl 0909.47011Bhatia, Rajendra; Rosenthal, Peter 87 1997 More matrix forms of the arithmetic-geometric mean inequality. Zbl 0767.15012Bhatia, Rajendra; Davis, Chandler 82 1993 On the singular values of a product of operators. Zbl 0704.47014Bhatia, Rajendra; Kittaneh, Fuad 75 1990 Perturbation of spectral subspaces and solution of linear operator equations. Zbl 0518.47013Bhatia, Rajendra; Davis, Chandler; McIntosh, Alan 62 1983 Perturbation bounds for matrix eigenvalues. Zbl 0696.15013Bhatia, Rajendra 57 1987 Notes on matrix arithmetic-geometric mean inequalities. Zbl 0974.15016Bhatia, Rajendra; Kittaneh, Fuad 51 2000 Orthogonality of matrices and some distance problems. Zbl 0937.15023Bhatia, Rajendra; Šemrl, Peter 50 1999 Monotonicity of the matrix geometric mean. Zbl 1253.15047Bhatia, Rajendra; Karandikar, Rajeeva L. 44 2012 On the exponential metric increasing property. Zbl 1052.15013Bhatia, Rajendra 43 2003 Positive definite functions and operator inequalities. Zbl 1037.15021Bhatia, Rajendra; Parthasarathy, K. R. 41 2000 Norm inequalities for partitioned operators and an application. Zbl 0688.47005Bhatia, Rajendra; Kittaneh, Fuad 33 1990 Interpolating the arithmetic–geometric mean inequality and its operator version. Zbl 1092.15018Bhatia, Rajendra 32 2006 A better bound on the variance. Zbl 1009.15009Bhatia, Rajendra; Davis, Chandler 31 2000 A Cauchy-Schwarz inequality for operators with applications. Zbl 0824.47006Bhatia, Rajendra; Davis, Chandler 31 1995 Mean matrices and infinite divisibility. Zbl 1124.15015Bhatia, Rajendra; Kosaki, Hideki 30 2007 Infinitely divisible matrices. Zbl 1132.15019Bhatia, Rajendra 30 2006 Maps on matrices that preserve the spectral radius distance. Zbl 0927.15006Bhatia, Rajendra; Šemrl, Peter; Sourour, A. R. 28 1999 The matrix arithmetic-geometric mean inequality revisited. Zbl 1148.15014Bhatia, Rajendra; Kittaneh, Fuad 27 2008 Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. Zbl 1139.15303Bhatia, Rajendra 27 2007 Norm inequalities related to the matrix geometric mean. Zbl 1252.15023Bhatia, Rajendra; Grover, Priyanka 25 2012 An extremal problem in Fourier analysis with applications to operator theory. Zbl 0674.42002Bhatia, Rajendra; Davis, Chandler; Koosis, Paul 25 1989 Matrix factorizations and their perturbations. Zbl 0794.15006Bhatia, Rajendra 22 1994 Clarkson inequalities with several operators. Zbl 1071.47011Bhatia, Rajendra; Kittaneh, Fuad 21 2004 A bound for the spectral variation of a unitary operator. Zbl 0539.15010Bhatia, Rajendra; Davis, Chandler 20 1984 Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix. Zbl 0713.15005Bhatia, R.; Elsner, L.; Krause, G. 19 1990 Some inequalities for norm ideals. Zbl 0632.47005Bhatia, Rajendra 19 1987 Norm inequalities for positive operators. Zbl 0912.47005Bhatia, Rajendra; Kittaneh, Fuad 18 1998 Analysis of spectral variation and some inequalities. Zbl 0488.15010Bhatia, Rajendra 18 1982 Eigenvalue inequalities associated with the Cartesian decomposition. Zbl 0641.15007Ando, T.; Bhatia, R. 17 1987 On the Bures-Wasserstein distance between positive definite matrices. Zbl 1437.15044Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 16 2019 Some inequalities for positive linear maps. Zbl 1252.15024Bhatia, Rajendra; Sharma, Rajesh 16 2012 Variation of Grassmann powers and spectra. Zbl 0469.15004Bhatia, Rajendra; Friedland, Shmuel 16 1981 Loewner matrices and operator convexity. Zbl 1172.15010Bhatia, Rajendra; Sano, Takashi 15 2009 On the Clarkson-McCarthy inequalities. Zbl 0618.47008Bhatia, Rajendra; Holbrook, John A. R. 15 1988 More operator versions of the Schwarz inequality. Zbl 0984.46040Bhatia, Rajendra; Davis, Chandler 14 2000 Cartesian decompositions and Schatten norms. Zbl 0981.47008Bhatia, Rajendra; Kittaneh, Fuad 14 2000 On the rate of change of spectra of operators. Zbl 0421.15019Bhatia, Rajendra; Mukherjea, Kalyan K. 14 1979 Pinching, trimming, truncating, and averaging of matrices. Zbl 0984.15024Bhatia, Rajendra 13 2000 Approximate isometries on Euclidean spaces. Zbl 0901.46016Bhatia, Rajendra; Šemrl, Peter 13 1997 First and second order perturbation bounds for the operator absolute value. Zbl 0815.47006Bhatia, Rajendra 13 1994 Perturbation inequalities for the absolute value map in norm ideals of operators. Zbl 0698.47029Bhatia, Rajendra 13 1988 Some norm inequalities for matrix means. Zbl 1334.15052Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki 12 2016 Compact operators whose real and imaginary parts are positive. Zbl 0965.47013Bhatia, Rajendra; Zhan, Xingzhi 12 2001 The Hoffman-Wielandt inequality in infinite dimensions. Zbl 0805.47017Bhatia, Rajendra; Elsner, Ludwig 12 1994 Some inequalities for commutators and an application to spectral variation. Zbl 0752.47005Bhatia, Rajendra; Davis, Chandler; Kittaneh, Fuad 12 1991 Short normal paths and spectral variation. Zbl 0568.15012Bhatia, Rajendra; Holbrook, John A. R. 12 1985 The Riemannian mean of positive matrices. Zbl 1271.15019Bhatia, Rajendra 11 2013 Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. Zbl 1016.15014Bhatia, Rajendra 10 2001 Variation of real powers of positive operators. Zbl 0836.47011Bhatia, Rajendra; Sinha, Kalyan B. 10 1994 Variation of the unitary part of a matrix. Zbl 0805.15006Bhatia, Rajendra; Mukherjea, Kalyan 10 1994 On symplectic eigenvalues of positive definite matrices. Zbl 1329.15048Bhatia, Rajendra; Jain, Tanvi 9 2015 Positive definite matrices. Reprint of the 2007 hardback edition. Zbl 1321.15003Bhatia, Rajendra 9 2015 Trace inequalities for products of positive definite matrices. Zbl 1288.15022Bhatia, Rajendra 9 2014 Higher order derivatives and perturbation bounds for determinants. Zbl 1177.15006Bhatia, Rajendra; Jain, Tanvi 9 2009 The singular values of \(A+B\) and \(A+iB\). Zbl 1172.47011Bhatia, Rajendra; Kittaneh, Fuad 9 2009 The operator equation \(\sum _{i=0}^n A^{n-i}XB^i=Y\). Zbl 1167.15010Bhatia, Rajendra; Uchiyama, Mitsuru 9 2009 Commutators, pinchings, and spectral variation. Zbl 1147.15019Bhatia, Rajendra; Kittaneh, Fuad 9 2008 Generalized Lyapunov equations and positive definite functions. Zbl 1097.15015Bhatia, Rajendra; Drissi, Driss 9 2005 Differentiation of operator functions and perturbation bounds. Zbl 0918.47017Bhatia, Rajendra; Singh, Dinesh; Sinha, Kalyan B. 9 1998 Some inequalities for norms of commutators. Zbl 0877.15023Bhatia, Rajendra; Kittaneh, Fuad 9 1997 On perturbations of matrix pencils with real spectra. II. Zbl 0852.15008Bhatia, Rajendra; Li, Ren-Cang 9 1996 Unitary invariance and spectral variation. Zbl 0657.15019Bhatia, Rajendra; Holbrook, John A. R. 9 1987 Positive linear maps and spreads of matrices. Zbl 1320.15015Bhatia, Rajendra; Sharma, Rajesh 8 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 1252.94003Nielsen, Frank (ed.); Bhatia, Rajendra (ed.) 8 2013 Noncommutative geometric means. Zbl 1091.26022Bhatia, Rajendra; Holbrook, John 8 2006 Norm inequalities for operators with positive real part. Zbl 1043.47011Bhatia, Rajendra; Zhan, Xingzhi 8 2003 Inertia of the matrix \([(p_i+p_j)^r]\). Zbl 1321.15017Bhatia, Rajendra; Jain, Tanvi 7 2015 Positivity preserving Hadamard matrix functions. Zbl 1130.15011Bhatia, Rajendra; Elsner, Ludwig 7 2007 Partial traces and entropy inequalities. Zbl 1027.15007Bhatia, Rajendra 7 2003 Fréchet derivatives of the power function. Zbl 0988.47011Bhatia, Rajendra; Holbrook, John A. 7 2000 A note on the Lyapunov equation. Zbl 0881.15016Bhatia, Rajendra 7 1997 Perturbation bounds for the operator absolute value. Zbl 0835.47009Bhatia, Rajendra 7 1995 A generalization of the Hoffman-Wielandt theorem. Zbl 0774.15011Bhatia, Rajendra; Bhattacharyya, Tirthankar 7 1993 Min matrices and mean matrices. Zbl 1247.15029Bhatia, Rajendra 6 2011 Some inequalities for commutators and an application to spectral variation. II. Zbl 0901.47012Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang 6 1997 Comparing a matrix to its off-diagonal part. Zbl 0674.15018Bhatia, Rajendra; Choi, Man-Duen; Davis, Chandler 6 1989 On some perturbation inequalities for operators. Zbl 0659.47016Bhatia, Rajendra; Kittaneh, Fuad 6 1988 Variation of symmetric tensor powers and permanents. Zbl 0552.15014Bhatia, Rajendra 6 1984 Positive linear maps and spreads of matrices. II. Zbl 1391.15075Bhatia, Rajendra; Sharma, Rajesh 5 2016 Notes on functional analysis. Zbl 1175.46001Bhatia, Rajendra 5 2009 Pinchings and norms of scaled triangular matrices. Zbl 1004.15020Bhatia, Rajendra; Kahan, William; Li, Ren-Cang 5 2002 Letter to the editor. Zbl 0780.51017Bhatia, Rajendra 5 1991 On the rate of change of spectra of operators. II. Zbl 0479.15009Bhatia, Rajendra 5 1981 Lectures on functional analysis. Part I: Perturbation by bounded operators. Zbl 0451.47020Bhatia, Rajendra; Parthasarathy, K. R. 5 1978 Matrix versions of the Hellinger distance. Zbl 1420.15016Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi 4 2019 Inequalities for the Wasserstein mean of positive definite matrices. Zbl 1418.15017Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 4 2019 Strong convexity of sandwiched entropies and related optimization problems. Zbl 1402.49036Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 4 2018 On some positive definite functions. Zbl 1331.42009Bhatia, Rajendra; Jain, Tanvi 4 2015 Modulus of continuity of the matrix absolute value. Zbl 1226.47010Bhatia, Rajendra 4 2010 Corners of normal matrices. Zbl 1119.15026Bhatia, Rajendra; Choi, Man-Duen 4 2006 Fourier series. Zbl 1060.42001Bhatia, Rajendra 4 2005 Higher order logarithmic derivatives of matrices in the spectral norm. Zbl 1062.15015Bhatia, Rajendra; Elsner, Ludwig 4 2003 Variation of induced linear operators. Zbl 1151.47301Bhatia, Rajendra; Dias da Silva, J. A. 4 2002 Derivations, derivatives and chain rules. Zbl 0951.47012Bhatia, Rajendra; Sinha, Kalyan B. 4 1999 Distance between commuting tuples of normal operators. Zbl 0931.47001Bhatia, Rajendra; Elsner, Ludwig; Šemrl, Peter 4 1998 A softer, stronger Lidskii theorem. Zbl 0675.15001Bhatia, Rajendra; Holbrook, John A. R. 4 1989 A Schur-Horn theorem for symplectic eigenvalues. Zbl 1451.15012Bhatia, Rajendra; Jain, Tanvi 1 2020 On the Bures-Wasserstein distance between positive definite matrices. Zbl 1437.15044Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 16 2019 Matrix versions of the Hellinger distance. Zbl 1420.15016Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi 4 2019 Inequalities for the Wasserstein mean of positive definite matrices. Zbl 1418.15017Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo 4 2019 Correction to: “Matrix versions of the Hellinger distance”. Zbl 1435.15018Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi 1 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 4 2018 Some norm inequalities for matrix means. Zbl 1334.15052Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki 12 2016 Positive linear maps and spreads of matrices. II. Zbl 1391.15075Bhatia, Rajendra; Sharma, Rajesh 5 2016 Inertia of Loewner matrices. Zbl 1354.15005Bhatia, Rajendra; Friedland, Shmuel; Jain, Tanvi 3 2016 On symplectic eigenvalues of positive definite matrices. Zbl 1329.15048Bhatia, Rajendra; Jain, Tanvi 9 2015 Positive definite matrices. Reprint of the 2007 hardback edition. Zbl 1321.15003Bhatia, Rajendra 9 2015 Inertia of the matrix \([(p_i+p_j)^r]\). Zbl 1321.15017Bhatia, Rajendra; Jain, Tanvi 7 2015 On some positive definite functions. Zbl 1331.42009Bhatia, Rajendra; Jain, Tanvi 4 2015 The geometric mean of exponentials of Pauli matrices. Zbl 1425.15035Bhatia, Rajendra; Jain, Tanvi 2 2015 Trace inequalities for products of positive definite matrices. Zbl 1288.15022Bhatia, Rajendra 9 2014 Positive linear maps and spreads of matrices. Zbl 1320.15015Bhatia, Rajendra; Sharma, Rajesh 8 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 11 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 1252.94003Nielsen, Frank (ed.); Bhatia, Rajendra (ed.) 8 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. 44 2012 Norm inequalities related to the matrix geometric mean. Zbl 1252.15023Bhatia, Rajendra; Grover, Priyanka 25 2012 Some inequalities for positive linear maps. Zbl 1252.15024Bhatia, Rajendra; Sharma, Rajesh 16 2012 An interpolating family of means. Zbl 1331.26053Bhatia, Rajendra; Li, Ren-Cang 3 2012 Min matrices and mean matrices. Zbl 1247.15029Bhatia, Rajendra 6 2011 Modulus of continuity of the matrix absolute value. Zbl 1226.47010Bhatia, Rajendra 4 2010 Positivity and conditional positivity of Loewner matrices. Zbl 1204.15039Bhatia, Rajendra; Sano, Takashi 3 2010 Loewner matrices and operator convexity. Zbl 1172.15010Bhatia, Rajendra; Sano, Takashi 15 2009 Higher order derivatives and perturbation bounds for determinants. Zbl 1177.15006Bhatia, Rajendra; Jain, Tanvi 9 2009 The singular values of \(A+B\) and \(A+iB\). Zbl 1172.47011Bhatia, Rajendra; Kittaneh, Fuad 9 2009 The operator equation \(\sum _{i=0}^n A^{n-i}XB^i=Y\). Zbl 1167.15010Bhatia, Rajendra; Uchiyama, Mitsuru 9 2009 Notes on functional analysis. Zbl 1175.46001Bhatia, Rajendra 5 2009 The matrix arithmetic-geometric mean inequality revisited. Zbl 1148.15014Bhatia, Rajendra; Kittaneh, Fuad 27 2008 Commutators, pinchings, and spectral variation. Zbl 1147.15019Bhatia, Rajendra; Kittaneh, Fuad 9 2008 Infinite divisibility of GCD matrices. Zbl 1169.15301Bhatia, Rajendra; Dias da Silva, J. A. 3 2008 Positive definite matrices. Zbl 1133.15017Bhatia, Rajendra 251 2007 Positive definite matrices. Zbl 1125.15300Bhatia, Rajendra 148 2007 Mean matrices and infinite divisibility. Zbl 1124.15015Bhatia, Rajendra; Kosaki, Hideki 30 2007 Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. Zbl 1139.15303Bhatia, Rajendra 27 2007 Positivity preserving Hadamard matrix functions. Zbl 1130.15011Bhatia, Rajendra; Elsner, Ludwig 7 2007 Riemannian geometry and matrix geometric means. Zbl 1088.15022Bhatia, Rajendra; Holbrook, John 94 2006 Interpolating the arithmetic–geometric mean inequality and its operator version. Zbl 1092.15018Bhatia, Rajendra 32 2006 Infinitely divisible matrices. Zbl 1132.15019Bhatia, Rajendra 30 2006 Noncommutative geometric means. Zbl 1091.26022Bhatia, Rajendra; Holbrook, John 8 2006 Corners of normal matrices. Zbl 1119.15026Bhatia, Rajendra; Choi, Man-Duen 4 2006 Generalized Lyapunov equations and positive definite functions. Zbl 1097.15015Bhatia, Rajendra; Drissi, Driss 9 2005 Fourier series. Zbl 1060.42001Bhatia, Rajendra 4 2005 Clarkson inequalities with several operators. Zbl 1071.47011Bhatia, Rajendra; Kittaneh, Fuad 21 2004 On the exponential metric increasing property. Zbl 1052.15013Bhatia, Rajendra 43 2003 Norm inequalities for operators with positive real part. Zbl 1043.47011Bhatia, Rajendra; Zhan, Xingzhi 8 2003 Partial traces and entropy inequalities. Zbl 1027.15007Bhatia, Rajendra 7 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 5 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 Compact operators whose real and imaginary parts are positive. Zbl 0965.47013Bhatia, Rajendra; Zhan, Xingzhi 12 2001 Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. Zbl 1016.15014Bhatia, Rajendra 10 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 51 2000 Positive definite functions and operator inequalities. Zbl 1037.15021Bhatia, Rajendra; Parthasarathy, K. R. 41 2000 A better bound on the variance. Zbl 1009.15009Bhatia, Rajendra; Davis, Chandler 31 2000 More operator versions of the Schwarz inequality. Zbl 0984.46040Bhatia, Rajendra; Davis, Chandler 14 2000 Cartesian decompositions and Schatten norms. Zbl 0981.47008Bhatia, Rajendra; Kittaneh, Fuad 14 2000 Pinching, trimming, truncating, and averaging of matrices. Zbl 0984.15024Bhatia, Rajendra 13 2000 Fréchet derivatives of the power function. Zbl 0988.47011Bhatia, Rajendra; Holbrook, John A. 7 2000 Orthogonality of matrices and some distance problems. Zbl 0937.15023Bhatia, Rajendra; Šemrl, Peter 50 1999 Maps on matrices that preserve the spectral radius distance. Zbl 0927.15006Bhatia, Rajendra; Šemrl, Peter; Sourour, A. R. 28 1999 Derivations, derivatives and chain rules. Zbl 0951.47012Bhatia, Rajendra; Sinha, Kalyan B. 4 1999 Perturbation of extended enumerations of eigenvalues. Zbl 0933.47015Bhatia, Rajendra; Davis, Chandler 3 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 18 1998 Differentiation of operator functions and perturbation bounds. Zbl 0918.47017Bhatia, Rajendra; Singh, Dinesh; Sinha, Kalyan B. 9 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 87 1997 Approximate isometries on Euclidean spaces. Zbl 0901.46016Bhatia, Rajendra; Šemrl, Peter 13 1997 Some inequalities for norms of commutators. Zbl 0877.15023Bhatia, Rajendra; Kittaneh, Fuad 9 1997 A note on the Lyapunov equation. Zbl 0881.15016Bhatia, Rajendra 7 1997 Some inequalities for commutators and an application to spectral variation. II. Zbl 0901.47012Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang 6 1997 Spectral variation bounds for diagonalisable matrices. Zbl 0897.15007Bhatia, Rajendra; Elsner, Ludwig; Krause, Gerd M. 1 1997 Matrix analysis. Zbl 0863.15001Bhatia, Rajendra 886 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 31 1995 Perturbation bounds for the operator absolute value. Zbl 0835.47009Bhatia, Rajendra 7 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 22 1994 First and second order perturbation bounds for the operator absolute value. Zbl 0815.47006Bhatia, Rajendra 13 1994 The Hoffman-Wielandt inequality in infinite dimensions. Zbl 0805.47017Bhatia, Rajendra; Elsner, Ludwig 12 1994 Variation of real powers of positive operators. Zbl 0836.47011Bhatia, Rajendra; Sinha, Kalyan B. 10 1994 Variation of the unitary part of a matrix. Zbl 0805.15006Bhatia, Rajendra; Mukherjea, Kalyan 10 1994 Relations of linking and duality between symmetric gauge functions. Zbl 0808.15016Bhatia, Rajendra; Davis, Chandler 2 1994 A simple proof of an operator inequality of Jocić and Kittaneh. Zbl 0851.47012Bhatia, Rajendra 1 1994 More matrix forms of the arithmetic-geometric mean inequality. Zbl 0767.15012Bhatia, Rajendra; Davis, Chandler 82 1993 A generalization of the Hoffman-Wielandt theorem. Zbl 0774.15011Bhatia, Rajendra; Bhattacharyya, Tirthankar 7 1993 Fourier series. Zbl 0940.42001Bhatia, Rajendra 3 1993 A Henrici theorem for joint spectra of commuting matrices. Zbl 0790.15015Bhatia, Rajendra; Bhattacharyya, Tirthankar 3 1993 ...and 33 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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