Consider the global matrix AΦ=b. What is the residual at the ith iteration? (Note: Φi is the value of Φ in the i^th iteration).(a) AΦ^i-1+b(b) AΦ^i-1-b(c) AΦ^i+b(d) AΦ^i-bThe question was posed to me in exam.I want to ask this question from Numerical Methods in portion Numerical Methods of Computational Fluid Dynamics

Consider the global matrix AΦ=b. What is the residual at the ith iter

1.	Consider the global matrix AΦ=b. What is the residual at the ith iteration? (Note: Φi is the value of Φ in the i^th iteration).(a) AΦ^i-1+b(b) AΦ^i-1-b(c) AΦ^i+b(d) AΦ^i-bThe question was posed to me in exam.I want to ask this question from Numerical Methods in portion Numerical Methods of Computational Fluid Dynamics
Answer» Correct option is (d) AΦ^i-b To explain: While solving the system AΦ=b, AΦ-b should be equal to ZERO. Since, the iterative METHOD will not produce such an answer, the DECISION when to stop the iteration RELIES upon a tolerance value. When the residual AΦ^i-b becomes less than the tolerance, iterations are stopped.

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