isposdef!(A) -> Bool

Test whether a matrix is positive definite, overwriting A in the processes.


julia> A = [1 2; 2 5];
julia> isposdef!(A)

This example checks if the matrix A is positive definite using the isposdef! function. The function overwrites A in the process and returns true if the matrix is positive definite.

julia> B = [1 2; 2 0];
julia> isposdef!(B)

In this example, the function returns false because the matrix B is not positive definite.

Common mistake example:

julia> C = [1 2; 2 3];
julia> isposdef!(C)
ERROR: MethodError: no method matching isposdef!(::Array{Int64,2})

The isposdef! function can only be applied to matrices, not arrays. It's important to pass a matrix as an argument to the 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,

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