Review of matrix perturbation theory
نویسندگان
چکیده
منابع مشابه
Matrix Perturbation Theory
Ren-Cang Li University of Texas at Arlington 15.1 Eigenvalue Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15-1 15.2 Singular Value Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15-6 15.3 Polar Decomposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15-7 15.4 Generalized Eigenvalue Problems . . . . . . . . . . . . . . . . . . . 15-...
متن کاملCanonical density matrix perturbation theory.
Density matrix perturbation theory [Niklasson and Challacombe, Phys. Rev. Lett. 92, 193001 (2004)] is generalized to canonical (NVT) free-energy ensembles in tight-binding, Hartree-Fock, or Kohn-Sham density-functional theory. The canonical density matrix perturbation theory can be used to calculate temperature-dependent response properties from the coupled perturbed self-consistent field equat...
متن کاملPerturbation Theory for Rectangular Matrix Pencils Perturbation Theory for Rectangular Matrix Pencils
abstract The theory of eigenvalues and eigenvectors of rectangular matrix pencils is complicated by the fact that arbitrarily small perturbations of the pencil can cause them disappear. However, there are applications in which the properties of the pencil ensure the existence of eigen-values and eigenvectors. In this paper it is shown how to develop a perturbation theory for such pencils. ABSTR...
متن کاملA Review of Perturbation Theory
may be solved exactly, giving an energy eigenvalue spectrum E0 j with corresponding eigenstates |ψ0 j 〉. Remember, because H0 is a Hermitian operator, its eigenvalues are real, and its eigenvectors |ψ0 j 〉 form a complete set. The strategy we’re going to take is straightforward. We’re going to assume that our perturbative corrections to the Hamiltonian, λH1 +λ2H2 + ..., lead to corresponding pe...
متن کاملChiral Perturbation Theory and Weak Matrix Elements
I describe recent developments in quenched chiral perturbation theory (QChPT) and the status of weak matrix elements involving light quarks. I illustrate how, with improved statistical errors, and with calculations of the masses of baryons containing non-degenerate quarks, there is now a clear need for extrapolations of higher order than linear in the quark mass. I describe how QChPT makes pred...
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: Linear Algebra and its Applications
سال: 1992
ISSN: 0024-3795
DOI: 10.1016/0024-3795(92)90451-f