ishermitian

Arguments

A

real or complex square matrix.

t

boolean value (%t or %f). Returns %t if the matrix is Hermitian, %f otherwise.

Description

ishermitian returns %t if the matrix A is hermitian, that is if A* = A, where A* denotes the conjugate transpose of A.

Equivalently, a matrix is hermitian if A(i,j) = conj(A(j,i)) for all indices i and j. And diagonal elements must be real.

Examples

X = [1 %i; -%i 2];
ishermitian(X)
// %t

X = [1 %i; %i 2];
ishermitian(X)
// %f

X = [1 2; 2 3];
ishermitian(X)
// %t

See also

• issymmetric — Check whether a matrix is symmetric
• conj — 共役
• isequal — tests the strict global equality between several objects, without equivalences
• quote — (') 転置演算子, 文字列デリミタ

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