mathematics, the spectral radius of a square matrix is the maximum of the absolute values of its eigenvalues. More generally, the spectral radius of a bounded...

In mathematics, the joint spectral radius is a generalization of the classical notion of spectral radius of a matrix, to sets of matrices. In recent years...

is the spectral norm. The two values do not coincide in infinite dimensions — see Spectral radius for further discussion. The spectral radius should not...

has spectral radius 2 or at most 2. The graphs with spectral radius 2 form two infinite families and three sporadic examples; if we ask for spectral radius...

theory) Cheeger constant (Riemannian geometry) Eigengap Spectral gap (physics) Spectral radius "Impossible-Seeming Surfaces Confirmed Decades After Conjecture"...

in absolute value is strictly smaller than r , |λ| < r. Thus, the spectral radius ρ ( A ) {\displaystyle \rho (A)} is equal to r. If the matrix coefficients...

magnetic field. The correlation coefficient of a population parameter The spectral radius of a matrix A {\displaystyle A} denoted as ρ ( A ) {\displaystyle \rho...

conjugate transpose of the matrix A {\displaystyle A} ). In general, the spectral radius of A {\displaystyle A} is bounded above by the operator norm of A {\displaystyle...

above by ‖ W r e c ‖ k {\displaystyle \|W_{rec}\|^{k}} . So if the spectral radius of W r e c {\displaystyle W_{rec}} is γ < 1 {\displaystyle \gamma <1}...

differentiable, a sufficient condition for convergence is that the spectral radius of the derivative is strictly bounded by one in a neighborhood of the...

DFS(a)=(n^{*}(a),0,0).} A basic reproduction number can be calculated as the spectral radius of an appropriate functional operator. One way to calculate R 0 {\displaystyle...

the maximum absolute value of any eigenvalue. This is known as the spectral radius of the matrix. Let λi be an eigenvalue of an n by n matrix A. The algebraic...

(functional analysis) Spectral radius, Spectrum of an operator, Spectral theorem Spectral theory of compact operators Spectral theory of normal C*-algebras...

eigenvectors. The spectral radius of a square matrix is the largest absolute value of its eigenvalues. In spectral theory, the spectral radius of a bounded...

matrix, that is, the largest singular value of the matrix, that is, the spectral radius of the matrix (these concepts are the same for matrices, but different...

( ρ ( T ) {\displaystyle \rho (T)} is sometimes used to denote the spectral radius of T {\displaystyle T} ) If λ {\displaystyle \lambda } is an eigenvalue...

standard convergence condition (for any iterative method) is when the spectral radius of the iteration matrix is less than 1: ρ ( D − 1 ( L + U ) ) < 1....

V − 1 {\displaystyle FV^{-1}} with the largest absolute value (the spectral radius of F V − 1 {\displaystyle FV^{-1}} ). Next generation matrices can...

numerical radius is equal to the spectral norm. Still in functional analysis, λ max {\displaystyle \lambda _{\max }} is known as the spectral radius. In the...

(x)} of an element x {\displaystyle x} is non-empty and satisfies the spectral radius formula: sup { | λ | : λ ∈ σ ( x ) } = lim n → ∞ ‖ x n ‖ 1 / n . {\displaystyle...

Perth, Australia Jai Shri Ram, a Hindu slogan and greeting Joint spectral radius, in mathematics JSR Corporation [ja; es], a Japanese chemical business...

is equal to the spectral norm. Still in functional analysis, λ max {\displaystyle \lambda _{\max }} is known as the spectral radius. In the context of...

Alexandr (2020-03-01). "Forbidden Subgraphs for Graphs of Bounded Spectral Radius, with Applications to Equiangular Lines". Israel Journal of Mathematics...

lim n → ∞ W n = 0 {\displaystyle \lim _{n\to \infty }W^{n}=0} if the spectral radius of W {\displaystyle W} is smaller than 1. However, with LSTM units...

1 are all distinct. That is, the transfer function's spectral radius is 1. If the spectral radius is less than 1, the system is instead asymptotically...

convergence condition was formulated by Johnson et al. in 2006, when the spectral radius of the matrix ρ ( I − | D − 1 / 2 A D − 1 / 2 | ) < 1 {\displaystyle...

_{b}^{n}=\mathrm {tr} (T_{h}^{n})} . This sum is useful for estimating the spectral radius of T h {\displaystyle T_{h}} . There is an alternative possibility...

{\displaystyle 0\leq p\leq n} , let d p {\displaystyle d_{p}} be the spectral radius of f acting by pullback on the Hodge cohomology group H p , p ( X )...

_{k=0}^{\infty }\left({A}^{-1}{B}\right)^{k}{A}^{-1}} if the spectral radius of A − 1 B {\displaystyle A^{-1}B} is less than one. That is, if the...

MA: Wellesley-Cambridge Press. pp. xii+758. MR 0870634. The Joint spectral radius, introduced by Strang and Rota in the early 60s. Strang splitting Roselle...