With positive pivots in D, the factorization A = LDLT becomes L D DLT . (Square roots of
Chapter 6, Problem 6.2.27(choose chapter or problem)
With positive pivots in D, the factorization A = LDLT becomes L D DLT . (Square roots of the pivots give D = D D.) Then C = L D yields the Cholesky factorization A = CCT , which is symmetrized LU: From C = " 3 0 1 2# find A. From A = " 4 8 8 25# find C.
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