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)

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)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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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