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Non-consistent approximations of self-adjoint eigenproblems: Application to the supercell method
Non-consistent approximations self-adjoint eigenproblems Functional Analysis
2012/5/24
In this article, we introduce a general theoretical framework to analyze non-consistent approximations of the discrete eigenmodes of a self-adjoint operator. We focus in particular on the discrete eig...
Constructing all self-adjoint matrices with prescribed spectrum and diagonal
Schur-Horn interlacing majorization frames
2011/9/1
Abstract: The Schur-Horn Theorem states that there exists a self-adjoint matrix with a given spectrum and diagonal if and only if the spectrum majorizes the diagonal. Though the original proof of this...
lower bound of the first eigenvalue of certain self-adjoint elliptic operators on manifolds containing long necks
lower bound manifolds containing long necks certain self-adjoint elliptic operators
2010/3/5
In this note, under certain regularity and transversality conditions we obtain a sharp lower bound of the first eigenvalue for certain self-adjoint elliptic operators on manifolds with long necks. Thi...