polar

Arguments

A

a real or complex square matrix.

Ro

a real matrix.

Theta

a real or complex matrix.

Description

[Ro, Theta]=polar(A) returns the polar form of A i.e.A=Ro*expm(%i*Theta) when Ro symmetric >=0 and Theta hermitian >=0.

Examples

A=rand(5,5);
[Ro,Theta]=polar(A);
norm(A-Ro*expm(%i*Theta),1)

B = complex(5,7)
[M, P] = polar(B)
M * exp(%i * P)

See also

• expm — square matrix exponential
• svd — singular value decomposition