(a) Let X = R² and define P by P (Q)=(Q) Show P is contractive with a = - √2 x₁ = Px₁, x₂ = Px₁ = P²x0, x₁ = Px₂ = P³x,..... What is the value of lim P"x, ? 11-0 (b) Repeat part (a) using P Next, starting with x, = (9)=( JC+0 X₂ -0. calculate
(a) Let X = R² and define P by P (Q)=(Q) Show P is contractive with a = - √2 x₁ = Px₁, x₂ = Px₁ = P²x0, x₁ = Px₂ = P³x,..... What is the value of lim P"x, ? 11-0 (b) Repeat part (a) using P Next, starting with x, = (9)=( JC+0 X₂ -0. calculate
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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