Consider an arbitrary A e R"×n, and an unreduced upper Hessenberg H e R"xn . Preforming the basic QR algorithm on A requires, in general, O(n³) arithmetic operations. Doing the same on H requires how many arithmetic operations? 0(n² logn) O O(n) O O(n²)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 15E: Let r0=b0. With the notation used in the description of the Euclidean Algorithm, use the result in...
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Consider an arbitrary A E R"X", and an unreduced upper Hessenberg H E R"×n .
Preforming the basic QR algorithm on A requires, in general, O(n³) arithmetic operations. Doing
the same on H requires how many arithmetic operations?
o(n² logn)
O O(n)
O(n?)
Transcribed Image Text:Consider an arbitrary A E R"X", and an unreduced upper Hessenberg H E R"×n . Preforming the basic QR algorithm on A requires, in general, O(n³) arithmetic operations. Doing the same on H requires how many arithmetic operations? o(n² logn) O O(n) O(n?)
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