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Isometric Decompositions

Journal of the London Mathematical Society, 1988
It is known [see \textit{S. Wagon}, Can. Math. Bull. 26, 337-340 (1983; Zbl 0486.51013)] that a ball in \({\mathbb{R}}^ n \)cannot be decomposed into m sets (2\(\leq m\leq n)\) that are mutually isometric under rotations and translations of \({\mathbb{R}}^ n.\) The author of the present paper considers some related problems concerning decompositions of
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LU decomposition

2004
Abstract This chapter discusses parallel dense matrix computations, in particular the solution of linear systems by LU decomposition with partial row pivoting. It first presents a general Cartesian scheme for the distribution of matrices.
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Polar Decomposition And Gauss Decomposition

1994
Abstract Every real positive definite symmetric matrix x can be diagonalized, that is, there exist an orthogonal matrix u and a positive diagonal matrix d such that x = udu′. This gives a decomposition of x which we call the polar decomposition because of its similarity to polar coordinates in the plane. Another decomposition of x is the
Jacques Faraut, Adam Korányi
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Ammonia for hydrogen storage; A review of catalytic ammonia decomposition and hydrogen separation and purification

International journal of hydrogen energy, 2019
Ammonia is of interest as a hydrogen storage and transport medium because it enables liquid-phase hydrogen storage under mild conditions. Although ammonia can be used directly for energy applications, its use in conventional fuel cell electric vehicles ...
K. Lamb, M. Dolan, D. F. Kennedy
semanticscholar   +1 more source

trend/cycle decomposition

2008
Macro economists distinguish between the forces that cause long-term growth and those that cause temporary fluctuations such as recessions. The former include population growth, capital accumulation, and productivity change, and their effect on the economy is permanent. The latter are generally monetary shocks such as shifts in central bank policy that
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Variational Mode Decomposition

IEEE Transactions on Signal Processing, 2014
Konstantin Dragomiretskiy   +1 more
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Atomic Decomposition by Basis Pursuit

SIAM Journal on Scientific Computing, 1998
S. Chen, D. Donoho, M. Saunders
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SDNet: A Versatile Squeeze-and-Decomposition Network for Real-Time Image Fusion

International Journal of Computer Vision, 2021
Hao Zhang, Jiayi Ma
semanticscholar   +1 more source

Ensemble Empirical Mode Decomposition: a Noise-Assisted Data Analysis Method

Advances in Data Science and Adaptive Analysis, 2009
Zhaohua Wu, N. Huang
semanticscholar   +1 more source

Tensor-Train Decomposition

SIAM Journal on Scientific Computing, 2011
I. Oseledets
semanticscholar   +1 more source

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