Show that the roots of the following polynomials are ill conditioned. (a) x³ − 3x² + 3x – 1 (b) (x − 1)³(x − 2) (c) (x − 1) (x – 0.99) (x − 2) - -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Show that the roots of the following polynomials are ill conditioned.
(а) х3 — За2 + За — 1
(Ъ) (» — 1)°(г — 2)
(c) (x – 1)(x – 0.99)(x – 2)
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Transcribed Image Text:Show that the roots of the following polynomials are ill conditioned. (а) х3 — За2 + За — 1 (Ъ) (» — 1)°(г — 2) (c) (x – 1)(x – 0.99)(x – 2) -
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