11. Consider Gaussian elimination with scaled partial pivot- ing applied to the coefficient matrix # # # # 0 0 # 23: # # # 0 # # # 0 0 # 0 # 0 # 0 0 # # where each # denotes a different nonzero element. Circle the locations of elements in which multipliers are stored and mark with an f those where fill-in occurs. The final index vector is l = [2, 3, 1, 5, 4]. %3D
11. Consider Gaussian elimination with scaled partial pivot- ing applied to the coefficient matrix # # # # 0 0 # 23: # # # 0 # # # 0 0 # 0 # 0 # 0 0 # # where each # denotes a different nonzero element. Circle the locations of elements in which multipliers are stored and mark with an f those where fill-in occurs. The final index vector is l = [2, 3, 1, 5, 4]. %3D
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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![11. Consider Gaussian elimination with scaled partial pivot-
ing applied to the coefficient matrix
* # # # #
# 0
# # # 0 #
0 # # #0
0 # 0 # 0
# 0 0 # #
where each # denotes a different nonzero element. Circle
the locations of elements in which multipliers are stored
and mark with an f those where fill-in occurs. The final
index vector is l = [2, 3, 1, 5, 4].
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F870720d6-1d21-48f8-b735-321c74f3bd0f%2F9a70f2ce-971a-43b5-b3e3-f6163b8a90a3%2Fu5hq7u9_processed.png&w=3840&q=75)
Transcribed Image Text:11. Consider Gaussian elimination with scaled partial pivot-
ing applied to the coefficient matrix
* # # # #
# 0
# # # 0 #
0 # # #0
0 # 0 # 0
# 0 0 # #
where each # denotes a different nonzero element. Circle
the locations of elements in which multipliers are stored
and mark with an f those where fill-in occurs. The final
index vector is l = [2, 3, 1, 5, 4].
%3D
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