Bhatia, Rajendra; Sharma, Rajesh Eigenvalues and diagonal elements. (English) Zbl 1521.15008 Indian J. Pure Appl. Math. 54, No. 3, 757-759 (2023). MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{R. Sharma}, Indian J. Pure Appl. Math. 54, No. 3, 757--759 (2023; Zbl 1521.15008) Full Text: DOI arXiv
Bhatia, Rajendra; Sharma, Rajesh Extensions of the Schur majorisation inequalities. (English) Zbl 1498.15021 Linear Algebra Appl. 651, 385-389 (2022). Reviewer: Rosário Fernandes (Lisboa) MSC: 15A42 15A18 15B57 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{R. Sharma}, Linear Algebra Appl. 651, 385--389 (2022; Zbl 1498.15021) Full Text: DOI arXiv
Bhatia, Rajendra; Jain, Tanvi Variational principles for symplectic eigenvalues. (English) Zbl 1475.15021 Can. Math. Bull. 64, No. 3, 553-559 (2021). MSC: 15A42 15A18 15A45 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Jain}, Can. Math. Bull. 64, No. 3, 553--559 (2021; Zbl 1475.15021) Full Text: DOI
Bhatia, Rajendra; Jain, Tanvi A Schur-Horn theorem for symplectic eigenvalues. (English) Zbl 1451.15012 Linear Algebra Appl. 599, 133-139 (2020). Reviewer: Ninoslav Truhar (Osijek) MSC: 15A42 15A45 15A18 15B48 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Jain}, Linear Algebra Appl. 599, 133--139 (2020; Zbl 1451.15012) Full Text: DOI arXiv
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi Correction to: “Matrix versions of the Hellinger distance”. (English) Zbl 1435.15018 Lett. Math. Phys. 109, No. 12, 2779-2781 (2019). MSC: 15A60 51K05 15B48 49K35 94A17 81P45 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Lett. Math. Phys. 109, No. 12, 2779--2781 (2019; Zbl 1435.15018) Full Text: DOI
Bhatia, Rajendra Some inequalities for eigenvalues and symplectic eigenvalues of positive definite matrices. (English) Zbl 1425.15015 Int. J. Math. 30, No. 11, Article ID 1950055, 5 p. (2019). MSC: 15A42 15A18 PDFBibTeX XMLCite \textit{R. Bhatia}, Int. J. Math. 30, No. 11, Article ID 1950055, 5 p. (2019; Zbl 1425.15015) Full Text: DOI
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo On the Bures-Wasserstein distance between positive definite matrices. (English) Zbl 1437.15044 Expo. Math. 37, No. 2, 165-191 (2019). Reviewer: V. Lokesha (Bangalore) MSC: 15B48 15A45 15A60 47A64 53C22 60D05 81P45 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Expo. Math. 37, No. 2, 165--191 (2019; Zbl 1437.15044) Full Text: DOI arXiv
Bhatia, Rajendra; Gaubert, Stephane; Jain, Tanvi Matrix versions of the Hellinger distance. (English) Zbl 1420.15016 Lett. Math. Phys. 109, No. 8, 1777-1804 (2019); correction ibid. 109, No. 12, 2779-2781 (2019). Reviewer: John D. Dixon (Ottawa) MSC: 15A60 51K05 15B48 49K35 94A17 81P45 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Lett. Math. Phys. 109, No. 8, 1777--1804 (2019; Zbl 1420.15016) Full Text: DOI arXiv
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo Inequalities for the Wasserstein mean of positive definite matrices. (English) Zbl 1418.15017 Linear Algebra Appl. 576, 108-123 (2019). Reviewer: Takeaki Yamazaki (Kawagoe) MSC: 15A45 15A18 47A64 47A30 15A42 15B48 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Linear Algebra Appl. 576, 108--123 (2019; Zbl 1418.15017) Full Text: DOI arXiv
Bhatia, Rajendra; Congedo, Marco Procrustes problems in Riemannian manifolds of positive definite matrices. (English) Zbl 1404.15025 Linear Algebra Appl. 563, 440-445 (2019). MSC: 15B48 47A58 15A27 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{M. Congedo}, Linear Algebra Appl. 563, 440--445 (2019; Zbl 1404.15025) Full Text: DOI HAL
Bhatia, Rajendra; Jain, Tanvi; Lim, Yongdo Strong convexity of sandwiched entropies and related optimization problems. (English) Zbl 1402.49036 Rev. Math. Phys. 30, No. 9, Article ID 1850014, 18 p. (2018). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 49Q20 15B48 47A63 81P16 81P45 94A17 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Rev. Math. Phys. 30, No. 9, Article ID 1850014, 18 p. (2018; Zbl 1402.49036) Full Text: DOI arXiv
Bhatia, Rajendra; Friedland, Shmuel; Jain, Tanvi Inertia of Loewner matrices. (English) Zbl 1354.15005 Indiana Univ. Math. J. 65, No. 4, 1251-1261 (2016). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15A18 15B48 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Indiana Univ. Math. J. 65, No. 4, 1251--1261 (2016; Zbl 1354.15005) Full Text: DOI arXiv Link
Bhatia, Rajendra; Lim, Yongdo; Yamazaki, Takeaki Some norm inequalities for matrix means. (English) Zbl 1334.15052 Linear Algebra Appl. 501, 112-122 (2016). MSC: 15A42 15A18 47A64 47A30 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Linear Algebra Appl. 501, 112--122 (2016; Zbl 1334.15052) Full Text: DOI
Bhatia, Rajendra; Sharma, Rajesh Positive linear maps and spreads of matrices. II. (English) Zbl 1391.15075 Linear Algebra Appl. 491, 30-40 (2016). MSC: 15A60 15A45 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{R. Sharma}, Linear Algebra Appl. 491, 30--40 (2016; Zbl 1391.15075) Full Text: DOI
Bhatia, Rajendra; Jain, Tanvi The geometric mean of exponentials of Pauli matrices. (English) Zbl 1425.15035 J. Ramanujan Math. Soc. 30, No. 2, 199-204 (2015). MSC: 15B48 15A16 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Jain}, J. Ramanujan Math. Soc. 30, No. 2, 199--204 (2015; Zbl 1425.15035) Full Text: Link
Bhatia, Rajendra; Jain, Tanvi On symplectic eigenvalues of positive definite matrices. (English) Zbl 1329.15048 J. Math. Phys. 56, No. 11, 112201, 16 p. (2015). MSC: 15A42 15B48 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Jain}, J. Math. Phys. 56, No. 11, 112201, 16 p. (2015; Zbl 1329.15048) Full Text: DOI arXiv
Bhatia, Rajendra (ed.); Kirkland, Steve (ed.); Prasad, K. Manjunatha (ed.); Puntanen, Simo (ed.) Preface: Special volume of Electronic Journal of Linear Algebra dedicated to Professor Ravindra B. Bapat. (English) Zbl 1329.00185 Electron. J. Linear Algebra 29, 1-2 (2015). MSC: 00B25 15-06 00B30 PDFBibTeX XMLCite \textit{R. Bhatia} (ed.) et al., Electron. J. Linear Algebra 29, 1--2 (2015; Zbl 1329.00185) Full Text: DOI
Bhatia, Rajendra Positive definite matrices. Reprint of the 2007 hardback edition. (English) Zbl 1321.15003 Princeton, NJ: Princeton University Press (ISBN 978-0-691-16825-8/pbk; 978-1-400-82778-7/ebook). ix, 254 p. (2015). MSC: 15-01 15B48 46-01 47-01 42-01 53-01 PDFBibTeX XMLCite \textit{R. Bhatia}, Positive definite matrices. Reprint of the 2007 hardback edition. Princeton, NJ: Princeton University Press (2015; Zbl 1321.15003) Full Text: DOI
Bhatia, Rajendra; Jain, Tanvi Inertia of the matrix \([(p_i+p_j)^r]\). (English) Zbl 1321.15017 J. Spectr. Theory 5, No. 1, 71-87 (2015). Reviewer: C. M. da Fonseca (Safat) MSC: 15A18 42A82 15B48 15B05 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Jain}, J. Spectr. Theory 5, No. 1, 71--87 (2015; Zbl 1321.15017) Full Text: DOI
Bhatia, Rajendra; Sharma, Rajesh Positive linear maps and spreads of matrices. (English) Zbl 1320.15015 Am. Math. Mon. 121, No. 7, 619-624 (2014). Reviewer: C. M. da Fonseca (Safat) MSC: 15A60 15A42 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{R. Sharma}, Am. Math. Mon. 121, No. 7, 619--624 (2014; Zbl 1320.15015) Full Text: DOI
Bhatia, Rajendra; Jain, Tanvi Positivity properties of the matrix \({\left[(i+j)^{i+j}\right]}\). (English) Zbl 1305.15072 Arch. Math. 103, No. 3, 279-283 (2014). Reviewer: Igor Klep (Auckland) MSC: 15B48 15B05 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Jain}, Arch. Math. 103, No. 3, 279--283 (2014; Zbl 1305.15072) Full Text: DOI arXiv
Bhatia, Rajendra; Jain, Tanvi Approximation problems in the Riemannian matric on positive definite metrices. (English) Zbl 1297.15036 Ann. Funct. Anal. 5, No. 2, 118-126 (2014). MSC: 15B48 41A50 47A58 53B21 53B40 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Jain}, Ann. Funct. Anal. 5, No. 2, 118--126 (2014; Zbl 1297.15036) Full Text: DOI EMIS
Bhatia, Rajendra Trace inequalities for products of positive definite matrices. (English) Zbl 1288.15022 J. Math. Phys. 55, No. 1, 013509, 3 p. (2014). MSC: 15A45 15B48 PDFBibTeX XMLCite \textit{R. Bhatia}, J. Math. Phys. 55, No. 1, 013509, 3 p. (2014; Zbl 1288.15022) Full Text: DOI
Bhattacharyya, Tirthankar (ed.); Horn, Roger A. (ed.); Rao, T. S. S. R. K. (ed.) [Bhatia, Rajendra] In the matrix mould. Expository articles by Rajendra Bhatia. (English) Zbl 1284.01003 New Delhi: Hindustan Book Agency (ISBN 978-93-80250-47-2). xii, 353 p. (2013). MSC: 01A75 15-03 PDFBibTeX XMLCite \textit{T. Bhattacharyya} (ed.) et al., In the matrix mould. Expository articles by Rajendra Bhatia. New Delhi: Hindustan Book Agency (2013; Zbl 1284.01003)
Bhatia, Rajendra The bipolar decomposition. (English) Zbl 1283.15039 Linear Algebra Appl. 439, No. 10, 3031-3037 (2013). MSC: 15A23 15B48 PDFBibTeX XMLCite \textit{R. Bhatia}, Linear Algebra Appl. 439, No. 10, 3031--3037 (2013; Zbl 1283.15039) Full Text: DOI
Bhatia, Rajendra; Grover, Priyanka; Jain, Tanvi Derivatives of tensor powers and their norms. (English) Zbl 1283.15073 Electron. J. Linear Algebra 26, 604-619 (2013). MSC: 15A69 15A60 15A15 15B48 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Electron. J. Linear Algebra 26, 604--619 (2013; Zbl 1283.15073) Full Text: DOI arXiv Link
Bhatia, Rajendra The Riemannian mean of positive matrices. (English) Zbl 1271.15019 Nielsen, Frank (ed.) et al., 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. Berlin: Springer (ISBN 978-3-642-30231-2/hbk; 978-3-642-30232-9/ebook). 35-51 (2013). MSC: 15B48 26E60 15-02 PDFBibTeX XMLCite \textit{R. Bhatia}, in: 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. Berlin: Springer. 35--51 (2013; Zbl 1271.15019) Full Text: DOI
Bhatia, Rajendra; Li, Ren-Cang An interpolating family of means. (English) Zbl 1331.26053 Commun. Stoch. Anal. 6, No. 1, 15-31 (2012). MSC: 26E60 26D15 15B48 42A82 47A30 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{R.-C. Li}, Commun. Stoch. Anal. 6, No. 1, 15--31 (2012; Zbl 1331.26053)
Bhatia, Rajendra; Karandikar, Rajeeva L. Monotonicity of the matrix geometric mean. (English) Zbl 1253.15047 Math. Ann. 353, No. 4, 1453-1467 (2012). Reviewer: Süleyman Güler (Aydin) MSC: 15B48 47A64 53C20 15A45 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{R. L. Karandikar}, Math. Ann. 353, No. 4, 1453--1467 (2012; Zbl 1253.15047) Full Text: DOI
Bhatia, Rajendra; Grover, Priyanka Norm inequalities related to the matrix geometric mean. (English) Zbl 1252.15023 Linear Algebra Appl. 437, No. 2, 726-733 (2012). Reviewer: Frank Uhlig (Auburn) MSC: 15A45 15A60 15A42 47A30 47A64 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{P. Grover}, Linear Algebra Appl. 437, No. 2, 726--733 (2012; Zbl 1252.15023) Full Text: DOI arXiv
Bhatia, Rajendra; Sharma, Rajesh Some inequalities for positive linear maps. (English) Zbl 1252.15024 Linear Algebra Appl. 436, No. 6, 1562-1571 (2012). Reviewer: Omar Hirzallah (Zarqa) MSC: 15A45 15A60 46L53 47A63 47C15 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{R. Sharma}, Linear Algebra Appl. 436, No. 6, 1562--1571 (2012; Zbl 1252.15024) Full Text: DOI
Bhatia, Rajendra Min matrices and mean matrices. (English) Zbl 1247.15029 Math. Intell. 33, No. 2, 22-28 (2011). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 15B36 15B48 15A45 15A60 PDFBibTeX XMLCite \textit{R. Bhatia}, Math. Intell. 33, No. 2, 22--28 (2011; Zbl 1247.15029) Full Text: DOI
Bhatia, Rajendra Linear algebra in India. (English) Zbl 1213.01031 Math. Newsl., Ramanujan Math. Soc. 19, No. 1, Spec. Issue, 129-131 (2010). MSC: 01A60 62-03 15-03 01A32 PDFBibTeX XMLCite \textit{R. Bhatia}, Math. Newsl., Ramanujan Math. Soc. 19, No. 1, 129--131 (2010; Zbl 1213.01031)
Bhatia, Rajendra; Sano, Takashi Positivity and conditional positivity of Loewner matrices. (English) Zbl 1204.15039 Positivity 14, No. 3, 421-430 (2010). Reviewer: Mihail Voicu (Iaşi) MSC: 15B48 47A63 42A82 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Sano}, Positivity 14, No. 3, 421--430 (2010; Zbl 1204.15039) Full Text: DOI
Bhatia, Rajendra Modulus of continuity of the matrix absolute value. (English) Zbl 1226.47010 Indian J. Pure Appl. Math. 41, No. 1, 99-111 (2010). MSC: 47A30 15A60 PDFBibTeX XMLCite \textit{R. Bhatia}, Indian J. Pure Appl. Math. 41, No. 1, 99--111 (2010; Zbl 1226.47010) Full Text: DOI
Bhatia, Rajendra; Jain, Tanvi Higher order derivatives and perturbation bounds for determinants. (English) Zbl 1177.15006 Linear Algebra Appl. 431, No. 11, 2102-2108 (2009). Reviewer: Ian M. Wanless (Victoria) MSC: 15A15 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Jain}, Linear Algebra Appl. 431, No. 11, 2102--2108 (2009; Zbl 1177.15006) Full Text: DOI
Bhatia, Rajendra; Kittaneh, Fuad The singular values of \(A+B\) and \(A+iB\). (English) Zbl 1172.47011 Linear Algebra Appl. 431, No. 9, 1502-1508 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A30 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{F. Kittaneh}, Linear Algebra Appl. 431, No. 9, 1502--1508 (2009; Zbl 1172.47011) Full Text: DOI
Bhatia, Rajendra; Uchiyama, Mitsuru The operator equation \(\sum _{i=0}^n A^{n-i}XB^i=Y\). (English) Zbl 1167.15010 Expo. Math. 27, No. 3, 251-255 (2009). MSC: 15A24 47A50 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{M. Uchiyama}, Expo. Math. 27, No. 3, 251--255 (2009; Zbl 1167.15010) Full Text: DOI
Bhatia, Rajendra; Sano, Takashi Loewner matrices and operator convexity. (English) Zbl 1172.15010 Math. Ann. 344, No. 3, 703-716 (2009). Reviewer: John D. Dixon (Ottawa) MSC: 15B48 47A63 42A82 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Sano}, Math. Ann. 344, No. 3, 703--716 (2009; Zbl 1172.15010) Full Text: DOI
Bhatia, Rajendra; Dias da Silva, J. A. Infinite divisibility of GCD matrices. (English) Zbl 1169.15301 Am. Math. Mon. 115, No. 6, 551-553 (2008). MSC: 15B36 11C20 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{J. A. Dias da Silva}, Am. Math. Mon. 115, No. 6, 551--553 (2008; Zbl 1169.15301) Full Text: DOI
Bhatia, Rajendra; Kittaneh, Fuad Commutators, pinchings, and spectral variation. (English) Zbl 1147.15019 Oper. Matrices 2, No. 1, 143-151 (2008). Reviewer: Jinhai Chen (Hongkong) MSC: 15A60 15A42 47A30 47B47 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{F. Kittaneh}, Oper. Matrices 2, No. 1, 143--151 (2008; Zbl 1147.15019) Full Text: DOI Backlinks: MO
Bhatia, Rajendra; Kittaneh, Fuad The matrix arithmetic-geometric mean inequality revisited. (English) Zbl 1148.15014 Linear Algebra Appl. 428, No. 8-9, 2177-2191 (2008). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A45 15A42 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{F. Kittaneh}, Linear Algebra Appl. 428, No. 8--9, 2177--2191 (2008; Zbl 1148.15014) Full Text: DOI
Bhatia, Rajendra Spectral variation, normal matrices, and Finsler geometry. (English) Zbl 1253.53068 Math. Intell. 29, No. 3, 41-46 (2007). MSC: 53C60 01A60 15A18 15B57 PDFBibTeX XMLCite \textit{R. Bhatia}, Math. Intell. 29, No. 3, 41--46 (2007; Zbl 1253.53068) Full Text: DOI
Bhatia, Rajendra; Elsner, Ludwig Positivity preserving Hadamard matrix functions. (English) Zbl 1130.15011 Positivity 11, No. 4, 583-588 (2007). Reviewer: A. Arvanitoyeorgos (Rion) MSC: 15B48 15B57 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{L. Elsner}, Positivity 11, No. 4, 583--588 (2007; Zbl 1130.15011) Full Text: DOI
Bhatia, Rajendra Positive definite matrices. (English) Zbl 1125.15300 Texts and Readings in Mathematics 44. New Delhi: Hindustan Book Agency (ISBN 978-81-85931-73-9). ix, 254 p. (2007). MSC: 15-02 PDFBibTeX XMLCite \textit{R. Bhatia}, Positive definite matrices. New Delhi: Hindustan Book Agency (2007; Zbl 1125.15300)
Bhatia, Rajendra Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. (English) Zbl 1139.15303 Classics in Applied Mathematics 53. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-31-3/pbk; 978-0-89871-907-9/ebook). xiv, 191 p. (2007). MSC: 15A42 15-02 15A18 15B57 PDFBibTeX XMLCite \textit{R. Bhatia}, Perturbation bounds for matrix eigenvalues. Reprint of the 1987 original. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2007; Zbl 1139.15303) Full Text: DOI
Bhatia, Rajendra; Kosaki, Hideki Mean matrices and infinite divisibility. (English) Zbl 1124.15015 Linear Algebra Appl. 424, No. 1, 36-54 (2007). Reviewer: Martín Argerami (Regina) MSC: 15A45 15B57 47A63 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{H. Kosaki}, Linear Algebra Appl. 424, No. 1, 36--54 (2007; Zbl 1124.15015) Full Text: DOI Link
Bhatia, Rajendra Positive definite matrices. (English) Zbl 1133.15017 Princeton Series in Applied Mathematics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-12918-1/hbk). ix, 254 p. (2007). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15B48 15-02 26E60 15A45 47A64 47A30 15A60 PDFBibTeX XMLCite \textit{R. Bhatia}, Positive definite matrices. Princeton, NJ: Princeton University Press (2007; Zbl 1133.15017)
Bhatia, Rajendra (ed.); Guralnick, Robert (ed.); Kirkland, Steve (ed.); Wolkowicz, Henry (ed.) Special issue devoted to the 12th ILAS conference of the International Linear Algebra Society (ILAS), Regina, Canada, June 26–29, 2005. (English) Zbl 1105.15300 Linear Algebra Appl. 421, No. 1, 170 p. (2007). MSC: 15-06 00B25 PDFBibTeX XML
Bhatia, Rajendra Infinitely divisible matrices. (English) Zbl 1132.15019 Am. Math. Mon. 113, No. 3, 221-235 (2006). MSC: 15B48 PDFBibTeX XMLCite \textit{R. Bhatia}, Am. Math. Mon. 113, No. 3, 221--235 (2006; Zbl 1132.15019) Full Text: DOI
Bhatia, Rajendra; Choi, Man-Duen Corners of normal matrices. (English) Zbl 1119.15026 Proc. Indian Acad. Sci., Math. Sci. 116, No. 4, 393-399 (2006). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15B57 15A60 15A29 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{M.-D. Choi}, Proc. Indian Acad. Sci., Math. Sci. 116, No. 4, 393--399 (2006; Zbl 1119.15026) Full Text: DOI arXiv
Bhatia, Rajendra; Holbrook, John Riemannian geometry and matrix geometric means. (English) Zbl 1088.15022 Linear Algebra Appl. 413, No. 2-3, 594-618 (2006). Reviewer: Fozi Dannan (Damascus) MSC: 15A45 15B48 53B21 53C22 26E60 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{J. Holbrook}, Linear Algebra Appl. 413, No. 2--3, 594--618 (2006; Zbl 1088.15022) Full Text: DOI
Bhatia, Rajendra Interpolating the arithmetic–geometric mean inequality and its operator version. (English) Zbl 1092.15018 Linear Algebra Appl. 413, No. 2-3, 355-363 (2006). Reviewer: Martín Argerami (Regina) MSC: 15A45 15A60 26E60 PDFBibTeX XMLCite \textit{R. Bhatia}, Linear Algebra Appl. 413, No. 2--3, 355--363 (2006; Zbl 1092.15018) Full Text: DOI
Bhatia, Rajendra; Holbrook, John Noncommutative geometric means. (English) Zbl 1091.26022 Math. Intell. 28, No. 1, 32-39 (2006). Reviewer: Peter S. Bullen (Vancouver) MSC: 26E60 15B48 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{J. Holbrook}, Math. Intell. 28, No. 1, 32--39 (2006; Zbl 1091.26022) Full Text: DOI
Bhatia, Rajendra; Drissi, Driss Generalized Lyapunov equations and positive definite functions. (English) Zbl 1097.15015 SIAM J. Matrix Anal. Appl. 27, No. 1, 103-114 (2005). Reviewer: Leonid Golinskii (Kharkov) MSC: 15A24 15B48 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{D. Drissi}, SIAM J. Matrix Anal. Appl. 27, No. 1, 103--114 (2005; Zbl 1097.15015) Full Text: DOI Link
Bhatia, Rajendra; Elsner, Ludwig Higher order logarithmic derivatives of matrices in the spectral norm. (English) Zbl 1062.15015 SIAM J. Matrix Anal. Appl. 25, No. 3, 662-668 (2003). MSC: 15A60 15A54 65L70 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{L. Elsner}, SIAM J. Matrix Anal. Appl. 25, No. 3, 662--668 (2003; Zbl 1062.15015) Full Text: DOI
Bhatia, Rajendra; Zhan, Xingzhi Norm inequalities for operators with positive real part. (English) Zbl 1043.47011 J. Oper. Theory 50, No. 1, 67-76 (2003). MSC: 47A30 47B10 15A18 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{X. Zhan}, J. Oper. Theory 50, No. 1, 67--76 (2003; Zbl 1043.47011)
Bhatia, Rajendra On the exponential metric increasing property. (English) Zbl 1052.15013 Linear Algebra Appl. 375, 211-220 (2003). Reviewer: Frank Uhlig (Auburn) MSC: 15A45 15B48 15A60 53B21 53B40 PDFBibTeX XMLCite \textit{R. Bhatia}, Linear Algebra Appl. 375, 211--220 (2003; Zbl 1052.15013) Full Text: DOI
Bhatia, Rajendra Partial traces and entropy inequalities. (English) Zbl 1027.15007 Linear Algebra Appl. 370, 125-132 (2003). Reviewer: Václav Burjan (Praha) MSC: 15A15 15A45 PDFBibTeX XMLCite \textit{R. Bhatia}, Linear Algebra Appl. 370, 125--132 (2003; Zbl 1027.15007) Full Text: DOI
Bhatia, Rajendra; Elsner, Ludwig Positive linear maps and the Lyapunov equation. (English) Zbl 1018.15003 Gohberg, Israel (ed.) et al., Linear operators and matrices. The Peter Lancaster anniversary volume. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 130, 107-120 (2002). Reviewer: V.P.Kostov (Nice, Cedex) MSC: 15A04 15B48 15A24 15A45 93C55 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{L. Elsner}, in: Linear operators and matrices. The Peter Lancaster anniversary volume. Basel: Birkhäuser. 107--120 (2002; Zbl 1018.15003)
Bhatia, Rajendra; Kahan, William; Li, Ren-Cang Pinchings and norms of scaled triangular matrices. (English) Zbl 1004.15020 Linear Multilinear Algebra 50, No. 1, 15-21 (2002). Reviewer: Václav Burjan (Praha) MSC: 15A42 15A60 65F35 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Linear Multilinear Algebra 50, No. 1, 15--21 (2002; Zbl 1004.15020) Full Text: DOI Link
Bhatia, Rajendra; Dias da Silva, J. A. Variation of induced linear operators. (English) Zbl 1151.47301 Linear Algebra Appl. 341, No. 1-3, 391-402 (2002). MSC: 47A30 15A18 47A80 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{J. A. Dias da Silva}, Linear Algebra Appl. 341, No. 1--3, 391--402 (2002; Zbl 1151.47301) Full Text: DOI
Bhatia, Rajendra Linear algebra to quantum cohomology: The story of Alfred Horn’s inequalities. (English) Zbl 1016.15014 Am. Math. Mon. 108, No. 4, 289-318 (2001). Reviewer: Tage Bai Andersen (Aarhus) MSC: 15A42 14F05 14M25 20G05 15B57 15A90 81T70 PDFBibTeX XMLCite \textit{R. Bhatia}, Am. Math. Mon. 108, No. 4, 289--318 (2001; Zbl 1016.15014) Full Text: DOI
Bhatia, Rajendra; Zhan, Xingzhi Compact operators whose real and imaginary parts are positive. (English) Zbl 0965.47013 Proc. Am. Math. Soc. 129, No. 8, 2277-2281 (2001). MSC: 47B06 47B07 47A30 47B10 15A18 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{X. Zhan}, Proc. Am. Math. Soc. 129, No. 8, 2277--2281 (2001; Zbl 0965.47013) Full Text: DOI
Bhatia, Rajendra; Davis, Chandler A key inequality for functions of matrices. (English) Zbl 0978.15016 Linear Algebra Appl. 323, No. 1-3, 1-5 (2001). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 15A45 15A54 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{C. Davis}, Linear Algebra Appl. 323, No. 1--3, 1--5 (2001; Zbl 0978.15016) Full Text: DOI
Bhatia, Rajendra Pinching, trimming, truncating, and averaging of matrices. (English) Zbl 0984.15024 Am. Math. Mon. 107, No. 7, 602-608 (2000). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15A21 15A45 PDFBibTeX XMLCite \textit{R. Bhatia}, Am. Math. Mon. 107, No. 7, 602--608 (2000; Zbl 0984.15024) Full Text: DOI
Bhatia, Rajendra; Davis, Chandler A better bound on the variance. (English) Zbl 1009.15009 Am. Math. Mon. 107, No. 4, 353-357 (2000). MSC: 15A45 26D15 62J10 60E15 47A50 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{C. Davis}, Am. Math. Mon. 107, No. 4, 353--357 (2000; Zbl 1009.15009) Full Text: DOI
Bhatia, Rajendra; Kittaneh, Fuad Cartesian decompositions and Schatten norms. (English) Zbl 0981.47008 Linear Algebra Appl. 318, No. 1-3, 109-116 (2000). Reviewer: Yang Dachun (Jena) MSC: 47A30 47B10 15A18 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{F. Kittaneh}, Linear Algebra Appl. 318, No. 1--3, 109--116 (2000; Zbl 0981.47008) Full Text: DOI
Bhatia, Rajendra; Parthasarathy, K. R. Positive definite functions and operator inequalities. (English) Zbl 1037.15021 Bull. Lond. Math. Soc. 32, No. 2, 214-228 (2000). Reviewer: Leonid Golinskii (Kharkov) MSC: 15A60 15A45 42A82 47A30 47A63 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{K. R. Parthasarathy}, Bull. Lond. Math. Soc. 32, No. 2, 214--228 (2000; Zbl 1037.15021) Full Text: DOI
Bhatia, Rajendra; Kittaneh, Fuad Notes on matrix arithmetic-geometric mean inequalities. (English) Zbl 0974.15016 Linear Algebra Appl. 308, No. 1-3, 203-211 (2000). Reviewer: J.Zemánek (Warszawa) MSC: 15A45 15A60 15B48 47A30 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{F. Kittaneh}, Linear Algebra Appl. 308, No. 1--3, 203--211 (2000; Zbl 0974.15016) Full Text: DOI
Bhatia, Rajendra; Šemrl, Peter Orthogonality of matrices and some distance problems. (English) Zbl 0937.15023 Linear Algebra Appl. 287, No. 1-3, 77-85 (1999). Reviewer: Váslaw Burjan (Praha) MSC: 15A60 47A30 46B20 46C05 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{P. Šemrl}, Linear Algebra Appl. 287, No. 1--3, 77--85 (1999; Zbl 0937.15023) Full Text: DOI
Bhatia, R. (ed.); Bunse-Gerstner, A. (ed.); Mehrmann, V. (ed.); Olesky, D. D. (ed.) Special issue celebrating the 60th birthday of Ludwig Elsner. (English) Zbl 0932.00087 Linear Algebra Appl. 287, No. 1-3, 382 p. (1999). MSC: 00B30 15-06 PDFBibTeX XMLCite \textit{R. Bhatia} (ed.) et al., Linear Algebra Appl. 287, No. 1--3, 382 p. (1999; Zbl 0932.00087) Full Text: DOI
Bhatia, Rajendra; Šemrl, Peter; Sourour, A. R. Maps on matrices that preserve the spectral radius distance. (English) Zbl 0927.15006 Stud. Math. 134, No. 2, 99-110 (1999). Reviewer: J.Zemánek (Warszawa) MSC: 15A18 15A04 15A30 47A10 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Stud. Math. 134, No. 2, 99--110 (1999; Zbl 0927.15006) Full Text: EuDML
Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang Eigenvalues of symmetrizable matrices. (English) Zbl 0898.15015 BIT 38, No. 1, 1-11 (1998). Reviewer: K.H.Kim (Montgomery) MSC: 15A42 15A12 PDFBibTeX XMLCite \textit{R. Bhatia} et al., BIT 38, No. 1, 1--11 (1998; Zbl 0898.15015) Full Text: DOI
Bhatia, Rajendra; Kittaneh, Fuad Some inequalities for norms of commutators. (English) Zbl 0877.15023 SIAM J. Matrix Anal. Appl. 18, No. 1, 258-263 (1997). Reviewer: M.Voicu (Iaşi) MSC: 15A45 47A30 47A55 47B10 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{F. Kittaneh}, SIAM J. Matrix Anal. Appl. 18, No. 1, 258--263 (1997; Zbl 0877.15023) Full Text: DOI
Bhatia, Rajendra; Kittaneh, Fuad; Li, Ren-Cang Some inequalities for commutators and an application to spectral variation. II. (English) Zbl 0901.47012 Linear Multilinear Algebra 43, No. 1-3, 207-219 (1997). MSC: 47A63 47B47 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Linear Multilinear Algebra 43, No. 1--3, 207--219 (1997; Zbl 0901.47012) Full Text: DOI
Bhatia, Rajendra; Elsner, Ludwig; Krause, Gerd M. Spectral variation bounds for diagonalisable matrices. (English) Zbl 0897.15007 Aequationes Math. 54, No. 1-2, 102-107 (1997). Reviewer: J.M.Day (San José) MSC: 15A42 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Aequationes Math. 54, No. 1--2, 102--107 (1997; Zbl 0897.15007) Full Text: DOI EuDML
Bhatia, Rajendra A note on the Lyapunov equation. (English) Zbl 0881.15016 Linear Algebra Appl. 259, 71-76 (1997). Reviewer: M.Voicu (Iaşi) MSC: 15A24 15A60 15A45 PDFBibTeX XMLCite \textit{R. Bhatia}, Linear Algebra Appl. 259, 71--76 (1997; Zbl 0881.15016) Full Text: DOI
Bhatia, Rajendra; Rosenthal, Peter How and why to solve the operator equation \(AX-XB=Y\). (English) Zbl 0909.47011 Bull. Lond. Math. Soc. 29, No. 1, 1-21 (1997). MSC: 47A62 47A10 47B47 47B49 65F15 65F30 15A24 47A55 47A15 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{P. Rosenthal}, Bull. Lond. Math. Soc. 29, No. 1, 1--21 (1997; Zbl 0909.47011) Full Text: DOI
Bhatia, Rajendra Matrix analysis. (English) Zbl 0863.15001 Graduate Texts in Mathematics. 169. New York, NY: Springer. xi, 347 p. (1996). Reviewer: J.Szilasi (Debrecen) MSC: 15-01 15A60 15B51 15A42 49R50 15A45 47A55 65F15 PDFBibTeX XMLCite \textit{R. Bhatia}, Matrix analysis. New York, NY: Springer (1996; Zbl 0863.15001)
Bhatia, R.; Elsner, L. On joint eigenvalues of commuting matrices. (English) Zbl 0870.15003 Can. Math. Bull. 39, No. 2, 164-168 (1996). Reviewer: Z.Dostal (Ostrava) MSC: 15A18 15A27 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{L. Elsner}, Can. Math. Bull. 39, No. 2, 164--168 (1996; Zbl 0870.15003) Full Text: DOI
Bhatia, Rajendra; Li, Ren-Cang On perturbations of matrix pencils with real spectra. II. (English) Zbl 0852.15008 Math. Comput. 65, No. 214, 637-645 (1996). Reviewer: H.Hollatz (Magdeburg) MSC: 15A22 15A42 65F15 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{R.-C. Li}, Math. Comput. 65, No. 214, 637--645 (1996; Zbl 0852.15008) Full Text: DOI
Bhatia, Rajendra; Davis, Chandler Relations of linking and duality between symmetric gauge functions. (English) Zbl 0808.15016 Feintuch, A. (ed.) et al., Nonselfadjoint operators and related topics. Workshop on Operator theory and its applications, Beersheva, Israel, February 24-28, 1992. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 73, 127-137 (1994). MSC: 15A60 15A45 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{C. Davis}, in: Nonselfadjoint operators and related topics. Workshop on Operator theory and its applications, Beersheva, Israel, February 24-28, 1992. Basel: Birkhäuser Verlag. 127--137 (1994; Zbl 0808.15016)
Bhatia, Rajendra; Mukherjea, Kalyan Variation of the unitary part of a matrix. (English) Zbl 0805.15006 SIAM J. Matrix Anal. Appl. 15, No. 3, 1007-1014 (1994). Reviewer: H.-J.Kowalsky (Braunschweig) MSC: 15A23 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{K. Mukherjea}, SIAM J. Matrix Anal. Appl. 15, No. 3, 1007--1014 (1994; Zbl 0805.15006) Full Text: DOI
Bhatia, Rajendra Matrix factorizations and their perturbations. (English) Zbl 0794.15006 Linear Algebra Appl. 197-198, 245-276 (1994). Reviewer: E.Ellers (Toronto) MSC: 15A23 65F30 65F05 PDFBibTeX XMLCite \textit{R. Bhatia}, Linear Algebra Appl. 197--198, 245--276 (1994; Zbl 0794.15006) Full Text: DOI
Bhatia, Rajendra; Bhattacharyya, Tirthankar A Henrici theorem for joint spectra of commuting matrices. (English) Zbl 0790.15015 Proc. Am. Math. Soc. 118, No. 1, 5-14 (1993). Reviewer: M.Voicu (Iaşi) MSC: 15A42 15A66 47A10 47A55 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Bhattacharyya}, Proc. Am. Math. Soc. 118, No. 1, 5--14 (1993; Zbl 0790.15015) Full Text: DOI
Bhatia, Rajendra; Elsner, Ludwig The \(q\)-binomial theorem and spectral symmetry. (English) Zbl 0777.05003 Indag. Math., New Ser. 4, No. 1, 11-16 (1993). Reviewer: M.Ştefănescu (Iaşi) MSC: 05A10 15B33 05B20 15A24 15A18 05A30 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{L. Elsner}, Indag. Math., New Ser. 4, No. 1, 11--16 (1993; Zbl 0777.05003) Full Text: DOI
Bhatia, Rajendra; Davis, Chandler More matrix forms of the arithmetic-geometric mean inequality. (English) Zbl 0767.15012 SIAM J. Matrix Anal. Appl. 14, No. 1, 132-136 (1993). Reviewer: S.S.Dragomir (Timişoara) MSC: 15A45 15A42 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{C. Davis}, SIAM J. Matrix Anal. Appl. 14, No. 1, 132--136 (1993; Zbl 0767.15012) Full Text: DOI
Bhatia, Rajendra; Bhattacharyya, Tirthankar A generalization of the Hoffman-Wielandt theorem. (English) Zbl 0774.15011 Linear Algebra Appl. 179, 11-17 (1993). Reviewer: L.Elsner (Bielefeld) MSC: 15A42 15A66 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{T. Bhattacharyya}, Linear Algebra Appl. 179, 11--17 (1993; Zbl 0774.15011) Full Text: DOI
Bhatia, Rajendra On residual bounds for eigenvalues. (English) Zbl 0767.15011 Indian J. Pure Appl. Math. 23, No. 12, 865-866 (1992). Reviewer: M.Voicu (Iaşi) MSC: 15A42 15A60 15B57 PDFBibTeX XMLCite \textit{R. Bhatia}, Indian J. Pure Appl. Math. 23, No. 12, 865--866 (1992; Zbl 0767.15011)
Bhatia, R.; Elsner, L. Symmetries and variation of spectra. (English) Zbl 0771.15003 Can. J. Math. 44, No. 6, 1155-1166 (1992). Reviewer: F.J.Gaines (Dublin) MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{L. Elsner}, Can. J. Math. 44, No. 6, 1155--1166 (1992; Zbl 0771.15003) Full Text: DOI
Bhatia, Rajendra; Davis, Chandler; Kittaneh, Fuad Some inequalities for commutators and an application to spectral variation. (English) Zbl 0752.47005 Aequationes Math. 41, No. 1, 70-78 (1991). Reviewer: K.N.Boyadzhiev (Ada) MSC: 47A63 47B47 15A42 15B57 15A60 65F99 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Aequationes Math. 41, No. 1, 70--78 (1991; Zbl 0752.47005) Full Text: DOI EuDML
Bhatia, Rajendra; Horn, Roger A.; Kittaneh, Fuad Normal approximants to binormal operators. (English) Zbl 0728.15007 Linear Algebra Appl. 147, 169-179 (1991). Reviewer: A.Ruhe (Göteborg) MSC: 15A21 15A60 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Linear Algebra Appl. 147, 169--179 (1991; Zbl 0728.15007) Full Text: DOI
Bhatia, R.; Elsner, L.; Krause, G. Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix. (English) Zbl 0713.15005 Linear Algebra Appl. 142, 195-209 (1990). Reviewer: G.P.Barker MSC: 15A42 15A60 30C15 PDFBibTeX XMLCite \textit{R. Bhatia} et al., Linear Algebra Appl. 142, 195--209 (1990; Zbl 0713.15005) Full Text: DOI
Bhatia, Rajendra; Elsner, Ludwig On the variation of permanents. (English) Zbl 0709.15024 Linear Multilinear Algebra 27, No. 2, 105-109 (1990). Reviewer: D.Carlson MSC: 15A60 15A15 15A45 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{L. Elsner}, Linear Multilinear Algebra 27, No. 2, 105--109 (1990; Zbl 0709.15024) Full Text: DOI
Bhatia, Rajendra; Holbrook, John A. R. A softer, stronger Lidskii theorem. (English) Zbl 0675.15001 Proc. Indian Acad. Sci., Math. Sci. 99, No. 1, 75-83 (1989). Reviewer: G.P.Barker MSC: 15A18 15A60 15A42 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{J. A. R. Holbrook}, Proc. Indian Acad. Sci., Math. Sci. 99, No. 1, 75--83 (1989; Zbl 0675.15001) Full Text: DOI
Bhatia, Rajendra; Choi, Man-Duen; Davis, Chandler Comparing a matrix to its off-diagonal part. (English) Zbl 0674.15018 The Gohberg anniversary collection. Vol. I: Matrix theory papers, Proc. Int. Conf. Oper. Theory., Calgary/Canada 1988, Oper. Theory, Adv. Appl. 40, 151-164 (1989). Reviewer: Tong Wenting MSC: 15A60 65F35 47A30 PDFBibTeX XML
Bhatia, Rajendra Perturbation bounds for matrix eigenvalues. (English) Zbl 0696.15013 Pitman Research Notes in Mathematics Series, 162. Harlow: Longman Scientific & Technical; New York: John Wiley & Sons Ltd. 129 p. $ 41.95 (1987). Reviewer: K.H.Kim MSC: 15A42 15-02 15A18 15B57 PDFBibTeX XMLCite \textit{R. Bhatia}, Perturbation bounds for matrix eigenvalues. Harlow: Longman Scientific \&| Technical; New York: John Wiley \&| Sons Ltd. (1987; Zbl 0696.15013)
Bhatia, Rajendra; Holbrook, John A. R. Unitary invariance and spectral variation. (English) Zbl 0657.15019 Linear Algebra Appl. 95, 43-68 (1987). Reviewer: Z.Dostal MSC: 15A60 15A09 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{J. A. R. Holbrook}, Linear Algebra Appl. 95, 43--68 (1987; Zbl 0657.15019) Full Text: DOI
Ando, T.; Bhatia, R. Eigenvalue inequalities associated with the Cartesian decomposition. (English) Zbl 0641.15007 Linear Multilinear Algebra 22, No. 2, 133-147 (1987). Reviewer: E.Kreyszig MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{T. Ando} and \textit{R. Bhatia}, Linear Multilinear Algebra 22, No. 2, 133--147 (1987; Zbl 0641.15007) Full Text: DOI