Spectral variational principle for Green's functions
نویسندگان
چکیده
منابع مشابه
Ekeland's Variational Principle for Set-Valued Functions
We establish several set-valued function versions of Ekeland’s variational principle and hence provide some sufficient conditions ensuring the existence of error bounds for inequality systems defined by finitely many lower semicontinuous functions.
متن کامل$(varphi_1, varphi_2)$-variational principle
In this paper we prove that if $X $ is a Banach space, then for every lower semi-continuous bounded below function $f, $ there exists a $left(varphi_1, varphi_2right)$-convex function $g, $ with arbitrarily small norm, such that $f + g $ attains its strong minimum on $X. $ This result extends some of the well-known varitional principles as that of Ekeland [On the variational principle, J. Ma...
متن کاملVariational analysis of spectral functions simplified
Spectral functions of symmetric matrices – those depending on matrices only through their eigenvalues – appear often in optimization. A cornerstone variational analytic tool for studying such functions is a formula relating their subdifferentials to the subdifferentials of their diagonal restrictions. This paper presents a new, short, and revealing derivation of this result. We then round off t...
متن کاملVariational analysis of non-Lipschitz spectral functions
We consider spectral functions f ◦ λ, where f is any permutation-invariant mapping from Cn to R, and λ is the eigenvalue map from the set of n × n complex matrices to Cn , ordering the eigenvalues lexicographically. For example, if f is the function “maximum real part”, then f ◦ λ is the spectral abscissa, while if f is “maximum modulus”, then f ◦ λ is the spectral radius. Both these spectral f...
متن کاملVariational Principle for
We show that some measures suuering from the so-called Renormalization Group pathologies satisfy a variational principle and that the corresponding limit of the pressure, with boundary conditions in a set of measure 1, is proportional to the pressure of the Ising model.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretica Chimica Acta
سال: 1972
ISSN: 0040-5744,1432-2234
DOI: 10.1007/bf01007554