1 votes 1 votes $x + y/2 = 9$ $3x + y = 10$ What can be said about the Gauss-Siedel iterative method for solving the above set of linear equations? it will converge It will diverse It will neither converge nor diverse It is not applicable Linear Algebra gateit-2006 linear-algebra normal numerical-methods non-gate + – Ishrat Jahan asked Nov 1, 2014 • edited Jun 20, 2017 by Silpa Ishrat Jahan 1.8k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Pankaj Joshi commented Jan 13, 2017 reply Follow Share is this still in course? 1 votes 1 votes Lakshman Bhaiya commented Jan 15, 2018 reply Follow Share Gauss-Siedel iterative method is not in the syllabus 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes Answer: A As, |1| + |1/2| <= |9| and |3| + |1| <= |10| Rajarshi Sarkar answered Apr 11, 2015 Rajarshi Sarkar comment Share Follow See all 4 Comments See all 4 4 Comments reply Digvijay Pandey commented Apr 12, 2015 reply Follow Share A system of linear equation applicable iff it is diagonally dominant or symmetric positive definite.. here set of equation are not diagonally dominant because a11>= a12 but a22<= a21 which violates condition of diagonally dominance. so Gauss Seidel not applicable.. m i ryt ?? 0 votes 0 votes Digvijay Pandey commented Apr 12, 2015 reply Follow Share even spectral radius i.e. magnitude of max (eigen value) of matrix also greater than 1.. it shouldn't converges. 0 votes 0 votes ANKIT CHAUHAN 1 commented Jan 10, 2017 reply Follow Share it is coming in the 2017 0 votes 0 votes Kaluti commented Aug 13, 2017 reply Follow Share i think it is positive semi definite as z^(T)M(z) > 0 so it should converge correct if i am wrong 0 votes 0 votes Please log in or register to add a comment.