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Subdivision Schemes for Positive Definite Matrices
Foundations of Computational Mathematics, 2012The authors consider subdivision methods generalised from scalar cases to the subdivision of matrices. To this end, they begin with a summary of the basic approaches to subdivision (in the scalar case) by ways of arithmetic and geometric means for instance.
Uri Itai, Nir Sharon
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On positive definite quadratic forms
Forum Mathematicum, 2000Let \(Q\) be a real indefinite quadratic form in 3 or more variables whose coefficients are not all in rational ratio. It was proved by Margulis (1987) that \(Q\) assumes arbitrarily small values at integral points. In this paper a natural analogue of Margulis result has been investigated.
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Positive Definite Functions and States
The Annals of Mathematics, 1954This paper is concerned with the relation between the set P of continuous, positive definite functions on a locally compact group G and the set F of continuous, positive linear functionals on the group operator algebra A of G. This concern is motivated by an attempt to establish a connection between the procedure of Gelfand and Raikov [3] with the ...
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Positive definiteness and the Stolarsky invariance principle
Journal of Mathematical Analysis and Applications, 2022Dmitriy Bilyk +2 more
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On Positive-Definite Functions
Proceedings of the London Mathematical Society, 1956openaire +1 more source
Positive definiteness for 4th order symmetric tensors and applications
Analysis and Mathematical Physics, 2020Yisheng Song
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Positive Definiteness and Stability of Interval Matrices
SIAM Journal on Matrix Analysis and Applications, 1994Jiří Rohn
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Positive definiteness of Diffusion Kurtosis Imaging
Inverse Problems and Imaging, 2012Shenglong Hu +2 more
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