Consider a system of equations where the ith equation is ai i=bi (i+1)+ci (i+1)+di. While solving this system using Thomas algorithm, we get i=Pi (i+1)+Qi. What are Pi and Qi?

Question

Consider a system of equations where the ith equation is ai  i=bi  (i+1)+ci  (i+1)+di. While solving this system using Thomas algorithm, we get  i=Pi  (i+1)+Qi. What are Pi and Qi?

TuteeHUB · Accepted Answer

(P_i=  frac{c_i Q_{i-1}+b_i}{a_i-c_i P_{i-1}};Q_i=  frac{d_i}{a_i-c_i P_{i-1}}  )

TuteeHUB · Answer

(P_i=  frac{c_i Q_{i-1}+d_i}{a_i-c_i P_{i-1}};Q_i=  frac{b_i}{a_i-c_i P_{i-1}}  )

TuteeHUB · Answer

(P_i=  frac{b_i}{a_i-c_i P_{i-1}};Q_i=  frac{c_i Q_{i-1}+d_i}{a_i-c_i P_{i-1}}  )

TuteeHUB · Answer

(P_i=  frac{c_i Q_{i-1}+b_i}{a_i-c_i P_{i-1}};Q_i=  frac{d_i}{a_i-c_i P_{i-1}}  )

TuteeHUB · Answer

(P_i=  frac{d_i}{a_i-c_i P_{i-1}};Q_i=  frac{c_i Q_{i-1}+b_i}{a_i-c_i P_{i-1}}  )

1.	Consider a system of equations where the i^th equation is a_i _i=b_i _(i+1)+c_i _(i+1)+d_i. While solving this system using Thomas algorithm, we get _i=P_i _(i+1)+Q_i. What are P_i and Q_i?
A.	(P_i= frac{c_i Q_{i-1}+d_i}{a_i-c_i P_{i-1}};Q_i= frac{b_i}{a_i-c_i P_{i-1}} )
B.	(P_i= frac{b_i}{a_i-c_i P_{i-1}};Q_i= frac{c_i Q_{i-1}+d_i}{a_i-c_i P_{i-1}} )
C.	(P_i= frac{c_i Q_{i-1}+b_i}{a_i-c_i P_{i-1}};Q_i= frac{d_i}{a_i-c_i P_{i-1}} )
D.	(P_i= frac{d_i}{a_i-c_i P_{i-1}};Q_i= frac{c_i Q_{i-1}+b_i}{a_i-c_i P_{i-1}} )
Answer» C. (P_i= frac{c_i Q_{i-1}+b_i}{a_i-c_i P_{i-1}};Q_i= frac{d_i}{a_i-c_i P_{i-1}} )

Consider a system of equations where the i^th equation is a_i _i=b_i _(i+1)+c_i _(i+1)+d_i. While solving this system using Thomas algorithm, we get _i=P_i _(i+1)+Q_i. What are P_i and Q_i?

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