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Self-reciprocal redundant vector stars
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A. Gómez-Rodriguez
Published/Copyright:
September 25, 2009
Abstract
In this work it is shown that a star of M vectors in Rn (M > n) is self-reciprocal, in the sense that it coincides with its Mackay generalized reciprocal star, if and only if it forms an eutactic star. We also show that eutactic stars behave in ways that resemble the behavior of orthonormal sets. A characterization of eutactic stars based on the Moore-Penrose pseudoinverse is presented.
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Published Online: 2009-9-25
Published in Print: 2004-11-1
© 2004 Oldenbourg Wissenschaftsverlag GmbH
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Articles in the same Issue
- Self-reciprocal redundant vector stars
- Editorial: Incommensurate Crystallography of Modulated and Composite Crystals
- An elementary introduction to superspace crystallography
- Methods of structural analysis and computer program JANA2000
- Flexible phases, modulated structures and the transmission electron microscope
- X-ray diffuse scattering as precursor of incommensurate Peierls transitions in one-dimensional organic charge transfer conductors
- Incommensurate modulations made visible by the Maximum Entropy Method in superspace
- The study of incommensurate structures as a probe to reveal atomic interactions in crystals
- High temperature structures of LiKSO4 crystals: normal and incommensurate phases
- Incommensurate crystal structures in the elements at high pressure
- Structural phase transitions in iodine under high pressure
- Incommensurate crystal structure of LiCd4(VO4)3
- An electron and X-ray diffraction study of the compositely modulated barium nickel hollandite Bax(NixTi8—x)O16, 1.16 < x < 1.32, solid solution
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