ishermitian
ishermitian(A) -> Bool
Test whether a matrix is Hermitian.
Examples
julia> A = [1 2+3im 4; 2-3im 5 6; 4 6 7];
julia> ishermitian(A)
trueThis example checks whether the matrix A is Hermitian. The function ishermitian returns true if the matrix is Hermitian, and false otherwise.
julia> B = [1 2 3; 4 5 6; 7 8 9];
julia> ishermitian(B)
falseIn this example, the matrix B is not Hermitian, so the function returns false.
Common mistake example:
julia> C = [1 2+3im; 4 5 6; 7 8 9];
julia> ishermitian(C)
ERROR: MethodError: no method matching ishermitian(::Array{Complex{Int64},2})In this case, the matrix C contains complex numbers, but ishermitian only works with real matrices. Make sure to provide a real matrix to the ishermitian function to avoid such errors.
See Also
Ac_ldiv_B, Ac_ldiv_Bc, Ac_mul_B, Ac_mul_Bc, Ac_rdiv_B, Ac_rdiv_Bc, At_ldiv_B, At_ldiv_Bt, At_mul_B, At_mul_Bt, At_rdiv_B, At_rdiv_Bt, A_ldiv_Bc, A_ldiv_Bt, A_mul_B!, A_mul_Bc, A_mul_Bt, A_rdiv_Bc, A_rdiv_Bt, Bidiagonal, cond, conv2, det, diag, diagind, diagm, diff, eig, eigvals, eigvecs, expm, eye, full, inv, isdiag, ishermitian, isposdef, isposdef!, issym, istril, istriu, logabsdet, logdet, lyap, norm, qrfact, rank, repmat, rot180, rotl90, rotr90, sortrows, sqrtm, SymTridiagonal, trace, Tridiagonal, tril, tril!, triu, triu!, writedlm,User Contributed Notes
Add a Note
The format of note supported is markdown, use triple backtick to start and end a code block.