(1) Find the condition number. (2) Find the forward error, the backward error, the relative (forward) error, the number of significant digits, and check the bound of condition number, for x = 0.01001, if a 3-digit computer is used. Which formula (algorithm) is unstable? (a) f(x) = (1 – cos x)/ sin x, (6) f(x) = 2 sin?(x/2)/ sin(x) (c) f(x) = tan 2
(1) Find the condition number. (2) Find the forward error, the backward error, the relative (forward) error, the number of significant digits, and check the bound of condition number, for x = 0.01001, if a 3-digit computer is used. Which formula (algorithm) is unstable? (a) f(x) = (1 – cos x)/ sin x, (6) f(x) = 2 sin?(x/2)/ sin(x) (c) f(x) = tan 2
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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Transcribed Image Text:(1) Find the condition number.
(2) Find the forward error, the backward error, the
relative (forward) error, the number of significant
digits, and check the bound of condition number,
for x = 0.01001, if a 3-digit computer is used.
Which formula (algorithm) is unstable?
(a) f(x) = (1 – cos x)/ sin x,
(b) f(x) = 2 sin?(x/2)/sin(x)
(c) f(x) = tan
2
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