nm, I already found how to calculate pivots of symmetric matrices . It's based on Jacobi method.
I know that number of positive pivots of symmetric matrix equals to the number of positive eigenvalues (same with negative ones).
I know how to find eigenvalues but it is not so quick. I heard that much more easier to find pivots (if i need to know how much positive/negative eigenvalues specific matrix has).
but i not sure how to find pivots.
Suppose i have matrix
how i calculate pivots?