first eigenvalue

In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an ... One of the primary tools in t...

first eigenvalue

In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an ... One of the primary tools in the study of the Dirichlet eigenvalues is the max-min principle: the first eigenvalue λ1 minimizes the Dirichlet energy. To wit,. , Lovasz seems to think the largest eigenvalue is not so interesting (if the graph ... Their largest eigenvalue reflect their condition number, which ...

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first eigenvalue 相關參考資料
Eigenvalues and eigenvectors - Wikipedia

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero .... Schwarz studied the first eigenvalue of Laplace's equation on general domains towards the e...

https://en.wikipedia.org

Dirichlet eigenvalue - Wikipedia

In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an ... One of the primary tools in the study of the Dirichlet eigenvalues is the max-min principle: the first eigenv...

https://en.wikipedia.org

big picture - The first eigenvalue of a graph - what does it ...

Lovasz seems to think the largest eigenvalue is not so interesting (if the graph ... Their largest eigenvalue reflect their condition number, which ...

https://mathoverflow.net

First eigenvalueeigenvector in sparse random symmetric matrices ...

Abstract: The properties of the first (largest) eigenvalue and its eigenvector (first eigenvector) are investigated for large sparse random ...

https://arxiv.org

6 Eigenvalues of the Laplacian

Then m is the first eigenvalue of (6.1). That is, m = λ1 and u is a corresponding eigen- function. Proof. Suppose u is the minimizer of the Rayleigh quotient and m ...

https://web.stanford.edu

Interpreting the First Eigenvalue of a Correlation Matrix - Deep Blue

Abstract: The first eigenvalue of a correlation matrix indicates the maximum amount of the variance of the variables which can be accounted for with a linear ...

https://deepblue.lib.umich.edu

On a lower bound for the first eigenvalue of the Laplace operator on a ...

[1] J. Barta, Sur la vibration fondamentale d'une membrane (Comptes Rendus de l'Acad. des Sci., Paris, Vol. 204, 1937, pp. 472-473). | JFM 63.0762.02.

http://www.numdam.org

Isoperimetric constants and the first eigenvalue of a compact ...

Isoperimetric constants and the first eigenvalue of a compact riemannian manifold. Yau, Shing-Tung. Annales scientifiques de l'École Normale Supérieure, Série ...

http://www.numdam.org

Tanno : The first eigenvalue of the Laplacian on spheres - Project Euclid

Tanno, Shûkichi. The first eigenvalue of the Laplacian on spheres. Tohoku Math. J. (2) 31 (1979), no. 2, 179--185. doi:10.2748/tmj/1178229837.

https://projecteuclid.org

Eigenvalues and Eigenvectors

To explain eigenvalues, we first explain eigenvectors. Almost all ... The eigenvalue tells whether the special vector x is stretched or shrunk or reversed or left.

http://math.mit.edu