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acoshm

matrix hyperbolic inverse cosine

Syntax

t = acoshm(x)

Arguments

x, t

a real or complex square matrix.

Description

acoshm is the matrix hyperbolic inverse cosine of the matrix x. Uses the formula t=logm(x+(x+eye())*sqrtm((x-eye())/(x+eye()))). For non-symmetric matrices result may be inaccurate.

Examples

A=[1,2;3,4];
coshm(acoshm(A))
A(1,1)=A(1,1)+%i;
coshm(acoshm(A))

See also

  • acosh — hyperbolic cosine inverse
  • logm — square matrix logarithm
  • sqrtm — matrix square root
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Last updated:
Mon May 22 12:37:05 CEST 2023