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A NEW PROOF TO CONSTRUCT MULTIVARIABLE GEOMETRIC MEANS BY SYMMETRIZATION
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 Title & Authors
A NEW PROOF TO CONSTRUCT MULTIVARIABLE GEOMETRIC MEANS BY SYMMETRIZATION
KIM, SEJONG; PETZ, DENES;
 
 Abstract
The original geometric mean of two positive definite operators A and B is given by A#B
 Keywords
positive definite operator;operator mean;
 Language
English
 Cited by
1.
REMARKS ON CONVERGENCE OF INDUCTIVE MEANS, Journal of applied mathematics & informatics, 2016, 34, 3_4, 285  crossref(new windwow)
 References
1.
R. Bhatia, Positive Definite Matrices, Princeton University Press, NJ, 2007.

2.
S. K. Chakraborty and G. Panda, A higher order iterative algorithm for multivariate opti-mization problem, J. Appl. Math. & Informatics 32 (2014), 747-760. crossref(new window)

3.
F. Hiai and D. Petz, Introduction to Matrix Analysis and Applications, Hindustan Book Agancy and Springer, 2014.

4.
F. Kubo and T. Ando, Means of positive linear operators, Math. Ann. 246 (1980), 205-224. crossref(new window)

5.
J. Lawson and Y. Lim, A general framework for extending means to higher orders, Colloq. Math. 113 (2008), 191-221. crossref(new window)

6.
J. Lawson and Y. Lim, Karhcer means and Karcher equations of positive definite operators, Trans. Amer. Math. Soc. Series B 1 (2014), 1-22. crossref(new window)

7.
A. Ungar, Analytic Hyperbolic Geometry and Albert Einstein's Special Theory of Relativity, World Scientific, 2008.