= Sylvester's criterion
{wiki=Sylvester's_criterion}
Sylvester's criterion is a mathematical principle used to determine whether a given real symmetric matrix is positive definite. According to Sylvester's criterion, a real symmetric matrix \\( A \\) is positive definite if and only if all of its leading principal minors (the determinants of the top-left \\( k \\times k \\) submatrices for \\( k = 1, 2, \\ldots, n \\), where \\( n \\) is the order of the matrix) are positive.
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