5.Which of the following statement(s) is/are TRUE about the Jacobiand Gauss-Seidel methods ?I.Convergence in Jacobi's method is faster.Computations in Jacobi's can be done in parallel but not inII.Gauss-Seidel.III. Gauss Seidel cannot solve the system of linear equations in threevariables whereas Jacobi can.IV. Gauss-Seidel requires less number of iterations than Jacobi'smethod.A.) Only IIВ.) I and IС.) II and IVD.) I, II and IVЕ.) I, II and III

For the given methods, statements II and IV hold true.

Answered: 5. Which of the following statement(s)…

Math

Advanced Math

5. Which of the following statement(s) is/are TRUE about the Jacobi and Gauss-Seidel methods ?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

5.
Which of the following statement(s) is/are TRUE about the Jacobi
and Gauss-Seidel methods ?
I.
Convergence in Jacobi's method is faster.
Computations in Jacobi's can be done in parallel but not in
II.
Gauss-Seidel.
III. Gauss Seidel cannot solve the system of linear equations in three
variables whereas Jacobi can.
IV. Gauss-Seidel requires less number of iterations than Jacobi's
method.
A.) Only II
В.) I and I
С.) II and IV
D.) I, II and IV
Е.) I, II and III

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