eigenvalue equations
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Eigenvalue algorithm — In linear algebra, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. Contents 1 Characteristic polynomial 2 Power… … Wikipedia
Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… … Wikipedia
eigenvalue — /uy geuhn val yooh/, n. Math. See characteristic root. [1925 30; partial trans. of G Eigenwert, equiv. to eigen characteristic, particular + Wert VALUE] * * * In mathematical analysis, one of a set of discrete values of a parameter, k, in an… … Universalium
Kohn-Sham equations — The Kohn Sham equations are a set of eigenvalue equations within density functional theory (DFT). DFT attempts to reduce a many body problem for the N particle wavefunction Psi(mathbf{r} 1,s 1;ldots;mathbf{r} N,s N) (which depends on 4N… … Wikipedia
Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… … Wikipedia
Competitive Lotka–Volterra equations — The competitive Lotka–Volterra equations are a simple model of the population dynamics of species competing for some common resource. They can be further generalised to include trophic interactions. Contents 1 Overview 1.1 Two species 1.2 N… … Wikipedia
Divide-and-conquer eigenvalue algorithm — Divide and conquer eigenvalue algorithms are a class of eigenvalue algorithms for Hermitian or real symmetric matrices that have recently (circa 1990s) become competitive in terms of stability and efficiency with more traditional algorithms such… … Wikipedia
Roothaan equations — The Roothaan equations are a representation of the Hartree Fock equation in a non orthonormal basis set which can be of Gaussian type or Slater type. It applies to closed shell molecules or atoms where all molecular orbitals or atomic orbitals,… … Wikipedia
Jacobi eigenvalue algorithm — The Jacobi eigenvalue algorithm is a numerical procedure for the calculation of all eigenvalues and eigenvectors of a real symmetric matrix. Description Let varphi in mathbb{R}, , 1 le k < l le n and let J(varphi, k, l) denote the n imes n matrix … Wikipedia
Euler equations (fluid dynamics) — In fluid dynamics, the Euler equations govern inviscid flow. They correspond to the Navier Stokes equations with zero viscosity and heat conduction terms. They are usually written in the conservation form shown below to emphasize that they… … Wikipedia
Primitive equations — The primitive equations are a set of nonlinear differential equations that are used to approximate global atmospheric flow and are used in most atmospheric models. They consist of three main sets of equations: # Conservation of momentum :… … Wikipedia
