A is a nxn positive definite matrix: If false provide why True (T) or False (F).

Question

A is a nxn positive definite matrix: If false provide why

True (T) or False (F). Suppose A is an pi n positive definite matrix: ( ) The search directions for the conjugate gradient (CG) method arc always the residuals. ( ) The CG method will converge to the exact solution of Ax = b in at most n2 iterations. ( ) Two vectors u and v are said to be conjugate with respect to A if and only if uT Av > 0. ( ) The most expensive part in a CG iteration is computing the product of A and a vector. ( ) For A sparse, the CG method generally beats Jacobi, GS, and S.O.R.

Explanation / Answer

a)true

b)false

c)false

d)true

e)true

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