Quasi-Convexification of Bartas Multi-Extrema Bounding TheoremReport as inadecuate



 Quasi-Convexification of Bartas Multi-Extrema Bounding Theorem


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There has been renewed interest in the exploitation of Bartas configuration space theorem BCST, 1937 which bounds the ground state energy. Mouchets 2005 BCST analysis is based on gradient optimization GO. However, it overlooks significant difficulties: i appearance of multi-extrema; ii inefficiency of GO for stiff singular perturbation-strong coupling problems; iii the nonexistence of a systematic procedure for arbitrarily improving the bounds. These deficiencies can be corrected by transforming BCST into a moments representation equivalent, and exploiting a generalization of the Eigenvalue Moment Method EMM, within the context of the well known Generalized Eigenvalue Problem GEP, as developed here.



Author: C. R. Handy

Source: https://archive.org/



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