In mathematics, the Rayleigh quotient () for a given complex Hermitian matrix M {\displaystyle M} and nonzero vector x {\displaystyle x} is defined as: R ( M , x ) = x ∗ M x x ∗ x . {\displaystyle R(M,x)={x^{*}Mx \over x^{*}x}.} For real matrices and vectors, the condition of being Hermitian reduces to that of being symmetric, and the conjugate transpose x ∗ {\displaystyle x^{*}} to the usual transpose x ′ {\displaystyle x'} .
In mathematics, the Rayleigh quotient () for a given complex Hermitian matrix M {\displaystyle M} and nonzero vector x {\displaystyle x} is defined as: R ( M , x ) = x ∗ M x x ∗ x . {\displaystyle R(M,x)={x^{*}Mx \over x^{*}x}.} For real matrices and vectors, the condition of being Hermitian reduces to that of being symmetric, and the conjugate transpose x ∗ {\displaystyle x^{*}} to the usual transpose x ′ {\displaystyle x'} .
Source: Wikipedia "Rayleigh quotient" · CC BY-SA 4.0
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