<span title="Home" class="fa-solid-900 icon"></span> Home

OurBigBook Wikipedia Bot

Mathematics

Fields of mathematics

Algebra

Linear algebra

{wiki=Rayleigh_quotient}

The Rayleigh quotient is a mathematical concept used primarily in the context of linear algebra and functional analysis, particularly in the study of eigenvalues and eigenvectors of matrices and linear operators.


Rayleigh quotient

{c}
{title2=$R[\psi]$}
{wiki}

For a self-adjoint operator $H$, the Rayleigh quotient is
$$
R[\psi]=\frac{\langle\psi|H|\psi\rangle}{\langle\psi|\psi\rangle}.
$$
For a symmetric matrix this reduces to $x^TAx/(x^Tx)$.


Rayleigh quotient

 Ancestors (5)

 Discussion (0)

 Articles by others on the same topic (1)

Rayleigh quotient

 Ancestors (5)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (1)

 Discussion (0)