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INTRODUCTION Over the last several decades, there has been an increasing number of neuroanatomical, neuroimaging, neurophysiological, and neuropsychological studies in search of structural, functional, and cognitive correlates of brain insult(s) that could ultimately lead to unravelling the pathophysiology of schizophrenia. A direct, easily administered,(More)
Let A be a self-adjoint operator on a separable Hilbert space H and let (Ln)n∈N be a sequence of finite dimensional subspaces of the domain of A, approximating H in the large n limit. Denote by An the compression of A to Ln. In general the spectrum of A is only a subset of the limit of the spectra of An and the latter might differ from the former in a(More)
This paper is concerned with methods for computing certified bounds for the isolated eigenvalues of self-adjoint operators. We examine in close detail the connections between an extension of the Temple-Lehmann-Goerisch method developed a few years ago by Zimmermann and Mertins, and a general framework considered by Davies and Plum. We propose employing the(More)
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