Bissoy.com
Doctors Medicines MCQs Q&A

The Gauss Seidel method gives results faster when the pivotal elements are

The Gauss Seidel method gives results faster when the pivotal elements are Correct Answer Larger than other coefficients

Explanation:

Gauss-Seidel method

  • Gauss – Siedel method converges if in each equation, the absolute value of the largest coefficient is greater than the sum of the absolute values of the remaining coefficients.
  • Since the most recent approximation of the unknowns is used while proceeding to the next step, the convergence in Gauss – Siedel method is faster.
  • It requires a large number of iteration to reach convergence.
  • The number of iterations required for convergence increases with the size of the system.
  • It has linear convergence characteristics.
  • The Computation time per iteration is less.
  • Less memory requirement.
  • It has more dependent on the selection of slack bus on the convergence.
  • Accuracy is less.

Related Questions

Abeer has 14 novels. Abeer’s friend Sanjay takes 3 of them and gives 2 novels to Abeer. Abeer donates 7 novels but buys 4. Joy takes 4 novels from Abeer and gives him 5. Abeer takes one novel from Sanjay and gives it to Joy in exchange for 3 more. Abeer gives those 3 novels to Sanjay and he gives Abeer a novel and a magazine. Rahul takes the magazine which Sanjay gave to Abeer and gives Abeer a textbook. Abeer gives the textbook to Joy in exchange for a novel. Rahul takes the novel from Sanjay, gives it to Joy for a magazine and gives Abeer the magazine for a novel. How many textbooks does Abeer have?
The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric________ definite matrices.
Consider the following two C code segment. Y and X are one- and two-dimensional arrays of size n and n × n respectively, where 2 ≤ n ≤ 10. Assume that in both code segments, elements of y are initialized to 0 and each element X[i] [j] of array X is initialized to i + j. Further assume that when stored in main memory all elements of x are in same main memory page frame. Code segment 1:                 //initialize elements of y to 0                 //initialize elements X[i] [j] of X to i+j                       for (i = 0; i < n; i++)                                 Y[i] += X[0] [i]; Code Segment 2:                 //initialize elements of Y to 0                 //initialize elements X[i] [j] of X to i+j                        for (i = 0; i < n; i++)                                 Y[i] += X[i] [0]; Which of the following statements is/are correct? S1: Final contents of array Y will be same in both code segments S2: Elements of array X accessed inside the for loop shown in code segment 1 are contiguous in main memory S3: Elements of array X accessed inside the for loop shown in code segment 2 are contiguous in main memory
In a swimming race, Purab swam faster than Sachin. Varun swam faster than Tanmay. Zaid swam faster than Tanmay but not as fast as Sachin. Sachin swam slower than Varun.Varun swam faster than only three. Who among the given friends came first in the race?
Usha runs faster than Kapil. Hanif runs faster than Usha. Varsha runs faster than Sameer but slower than Bijli. Which ofthe following will be definitely correct if Sameer runs faster than Hanif?
Two boats go downstream from point X to Y. The faster boat covers the distance from X to Y, 1.5 times as fast as slower boat. It is known that for every hour slower boat lags behinds the faster boat by 8 km. however, if they go upstream, then the faster boat covers the distance from Y to X in half the time as the slower boat. Find the speed of the faster boat in still water?
P, Q, R, Sand T are five crops that Babu grows. T is fast growing and more water demanding than R which gives more yield than T. P gives more yield than R and grows faster than Q. Q is more water demanding than T but is second lowest yielder, S is the slowest growing and least water demanding of all crops but gives highest yield. R is more water demanding and grows faster than P. Select the crop or crops that has/ have as many as crops that are more water demanding and as many as crops that give less yield than it. 
Mobile genetic elements present in human genome are
P. Long interspersed elements (LINEs)
Q. Short interspersed elements (SINEs)
R. P elements
S. IS elements
Mahi swims faster than Suchi. Brinda swims faster than Garima. Arohi does not swim as fast as Suchi but is faster than Brinda. Who swims the slowest among the given friends?
Manu runs faster than Tanu. Sharad runs faster than Harshad but he is not as fast as Manu. Vansh does not run as fast as Harshad but runs faster than Tanu. Who runs the fastest among the given friends?