isposdef

isposdef(A) -> Bool

Test whether a matrix is positive definite.

Examples

Check if a matrix is positive definite:
```
julia> A = [4 1; 1 4];
julia> isposdef(A)
true
```
This example checks if the matrix A is positive definite and returns true.
Handle non-positive definite matrix:
```
julia> B = [2 1; 1 2];
julia> isposdef(B)
false
```
It returns false since the matrix B is not positive definite.
Verify positive definiteness of a larger matrix:
```
julia> C = [5 2 1; 2 9 3; 1 3 6];
julia> isposdef(C)
true
```
It checks the positive definiteness of the matrix C and returns true.

Common mistake example:

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

In this example, the input matrix D is not square, which is a requirement for positive definiteness. Ensure that the matrix passed to isposdef is a square matrix to avoid such errors.

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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isposdef

Examples

See Also

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