istril
istril(A) -> Bool
Test whether a matrix is lower triangular.
Examples
julia> A = [1 0 0; 2 3 0; 4 5 6]
3×3 Array{Int64,2}:
1 0 0
2 3 0
4 5 6
julia> istril(A)
trueThis example demonstrates the usage of the istril function to check if a matrix is lower triangular. The function returns true if the matrix A is lower triangular, and false otherwise.
julia> B = [1 2 3; 0 4 5; 0 0 6]
3×3 Array{Int64,2}:
1 2 3
0 4 5
0 0 6
julia> istril(B)
falseIn this example, the matrix B is not lower triangular, so the function returns false.
Common mistake example:
julia> C = [1 2 3; 0 4 0; 0 0 6]
3×3 Array{Int64,2}:
1 2 3
0 4 0
0 0 6
julia> istril(C)
trueIn this example, the matrix C is not lower triangular, but the function incorrectly returns true. This mistake can occur if the matrix is not properly defined as lower triangular. Ensure that the matrix is in the correct form before using the istril function.
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
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