cmvnorm (version 1.0-6)

isHermitian: Is a Matrix Hermitian?

Description

Returns TRUE if a matrix is Hermitian or Hermitian positive-definite

Usage

isHermitian(x, tol = 100 * .Machine$double.eps)
ishpd(x,tol= 100 * .Machine$double.eps)
zapim(x,tol= 100 * .Machine$double.eps)

Arguments

x

A square matrix

tol

Tolerance for numerical scruff

Details

Functions isHermitian() and ishpd() return a Boolean. Function zapim() zaps small imaginary parts of components vector, returning real if all elements are so zapped.

Examples

Run this code
# NOT RUN {
v <- 2^(1:30)
zapim(v+1i*exp(-v))


ishpd(matrix(c(1,0.1i,-0.1i,1),2,2))   # should be TRUE
isHermitian(matrix(c(1,3i,-3i,1),2,2)) # should be TRUE


# }

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