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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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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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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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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
1994Abstract 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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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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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
openaire +1 more source