Zobrazeno 1 - 10
of 223
pro vyhledávání: '"Rajendra Bhatia"'
ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, th
Autor:
Rajendra Bhatia, Tanvi Jain
Publikováno v:
Linear Algebra and its Applications. 656:463-482
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c6944bdaf0086b28bfdfdd3a9e2b787
https://doi.org/10.1016/j.laa.2022.10.009
https://doi.org/10.1016/j.laa.2022.10.009
Autor:
Rajendra Bhatia
This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical a
Autor:
Rajendra Bhatia
Publikováno v:
Resonance. 27:1551-1561
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9b0856a53ae638c6461dfa74c6287ed
https://doi.org/10.1007/s12045-022-1448-5
https://doi.org/10.1007/s12045-022-1448-5
Autor:
Tanvi Jain, Rajendra Bhatia
Publikováno v:
Canadian Mathematical Bulletin. 64:553-559
If A is a real $2n \times 2n$ positive definite matrix, then there exists a symplectic matrix M such that $M^TAM=\text {diag}(D, D),$ where D is a positive diagonal matrix with diagonal entries $d_1(A)\leqslant \cdots \leqslant d_n(A).$ We prove a ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dfa2cbcf44b8742ae896797981411f44
https://doi.org/10.4153/s0008439520000648
https://doi.org/10.4153/s0008439520000648
Autor:
Tanvi Jain, Rajendra Bhatia
Publikováno v:
Linear Algebra and its Applications. 599:133-139
Let x and y be positive n-vectors. We show that there exists a 2 n × 2 n positive definite real matrix whose symplectic spectrum is y, and the symplectic spectrum of whose diagonal is x if and only if x is weakly supermajorised by y.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c652343af4860268d177443a6211905d
https://doi.org/10.1016/j.laa.2020.04.005
https://doi.org/10.1016/j.laa.2020.04.005
Autor:
Rajendra Bhatia, Rajesh Sharma
In this paper we discuss some relations between the eigenvalues and the diagonal entries of Hermitian matrices.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9c9ac8867116d9ce9ae5acde596aa56
Autor:
Rajendra Bhatia
Publikováno v:
International Journal of Research -GRANTHAALAYAH. 7:52-69
What if opaque colours can be used to create a play of transparency and translucency in the painting? Since the 14th century, artists have been playing around with various color pigments, binders and solvents to achieve transparency in opaque mineral
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42957660a0b2419c54a4a5c125cf9f96
https://doi.org/10.29121/granthaalayah.v7.i11.2019.982
https://doi.org/10.29121/granthaalayah.v7.i11.2019.982
Publikováno v:
Expositiones Mathematicae. 37:165-191
The metric d ( A , B ) = tr A + tr B − 2 tr ( A 1 ∕ 2 B A 1 ∕ 2 ) 1 ∕ 2 1 ∕ 2 on the manifold of n × n positive definite matrices arises in various optimisation problems, in quantum information and in the theory of optimal transport. It is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9664d3a27adefecc821d9d614919a031
https://doi.org/10.1016/j.exmath.2018.01.002
https://doi.org/10.1016/j.exmath.2018.01.002
Autor:
Rajendra Bhatia, Marco Congedo
Publikováno v:
Linear Algebra and its Applications
Linear Algebra and its Applications, Elsevier, 2019, 563, pp.440-445. ⟨10.1016/j.laa.2018.11.009⟩
Linear Algebra and its Applications, Elsevier, 2019, 563, pp.440-445. ⟨10.1016/j.laa.2018.11.009⟩
International audience; We consider the manifold of positive definite matrices endowed with the Fisher Riemannian metric and some other distances commonly used in information theory. We show that for each of them the best approximant to A from the un
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::beece6042e0bd6deb97e9f2421cad9fa
https://doi.org/10.1016/j.laa.2018.11.009
https://doi.org/10.1016/j.laa.2018.11.009