Suppose that an algorithm A is applied to a problem F(r) with a low condition number at r, and, furthermore, A is backward stable at r. Which of the following is true? 6.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Suppose that an algorithm A is applied to a problem F(r) with a low condition
number at z, and, furthermore, A is backward stable at r. Which of the following is true?
6.
A. The result of the computation will be accurate.
B. The result of the computation will be inaccurate.
C. The computation is guaranteed to be time-efficient.
D. We cannot infer anything about the result of the computation.
Transcribed Image Text:Suppose that an algorithm A is applied to a problem F(r) with a low condition number at z, and, furthermore, A is backward stable at r. Which of the following is true? 6. A. The result of the computation will be accurate. B. The result of the computation will be inaccurate. C. The computation is guaranteed to be time-efficient. D. We cannot infer anything about the result of the computation.
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