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AFEM for the Laplace-Beltrami Operator on Graphs: Design and Conditional Contraction Property
Laplace-Beltrami operator graphs adaptive fi nite element method
2015/12/11
We present an adaptive finite element method (AFEM) of any polynomial degree for the
Laplace-Beltrami operator on C
1
graphs Γ in R
d
(d ≥ 2). We first derive residual-type a
posteri...
Posterior contraction of the population polytope in finite admixture models
latent mixing measures convex polytope population structure topic simplex
2012/6/7
We study the posterior contraction behavior of the latent population structure that arises in admixture models as the amount of data increases. An admixture model --- alternatively known as a topic mo...
A remarkable contraction of semisimple Lie algebras
Inonu-Wigner contraction coadjoint representation algebra of invariants orbit
2011/8/25
Abstract: Recently, E.Feigin introduced a very interesting contraction $\mathfrak q$ of a semisimple Lie algebra $\mathfrak g$ (see arXiv:1007.0646 and arXiv:1101.1898). We prove that these non-reduct...
Period Doubling Renormalization for Area-Preserving Maps and Mild Computer Assistance in Contraction Mapping Principle
Period Doubling Renormalization Area-Preserving Maps Mild Computer Assistance
2010/11/29
A universal period doubling cascade analogous to the famous Feigenbaum-Coullet-Tresser period doubling has been observed in area-preserving maps of R2. Existence of the “universal” map with orbits of ...
On an Inequality Involving Power and Contraction of Matrices with and without Trace
Trace inequalities Operator inequalities Positive semidefinite matrix Operator monotony Operator concavity
2008/6/27
On an Inequality Involving Power and Contraction of Matrices with and without Trace.
Selection of an eligible benchmark for interval decision making units with input contraction
Data envelopment Analysis Input Contraction Interval Data
2010/9/15
This paper offers an extension of obtaining an eligible benchmark using the concept of input contraction on interval data. Here, it is worthwhile obtaining most proportionality benchmark, which it wil...
A MODIFIED PROJECTION AND CONTRACTION METHOD FOR A CLASS OF LINEAR COMPLEMENTARITY PROBLEMS
2007/12/11
Recently, we have proposed an
iterative projection and contraction (PC) method for a class of linear
complementarity problems (LCP)$^{[4]}$. The method was showed to be globally
convergent, but no ...