Solutions for EBK NUMERICAL ANALYSIS
Problem 1ES:
Use algebraic manipulation to show that each of the following functions has a fixed point at p...Problem 2ES:
a. Perform four iterations, if possible, on each of the functions g defined in Exercise 1. Let p0 =...Problem 3ES:
Let f(x) = x3 2x + 1. To solve f(x) = 0, the following four fixed-pint problems are proposed....Problem 4ES:
Let f(x) = x4 + 3x2 2. To solve f(x) = 0, the following four fixed-pint problems are proposed....Problem 5ES:
The following four methods are proposed to compute 211/3. Rank them in order, based on their...Problem 9ES:
Use Theorem 2.3 to show that g(x) = + 0.5 sin(x/2) has a unique fixed point on [0, 2]. Use...Problem 10ES:
Use Theorem 2.3 to show that g(x) = 2x has a unique fixed point on [13,1]. Use fixed-point iteration...Problem 11ES:
Use a fixed-point iteration method to find an approximation to 3 that is accurate to within 104....Problem 16ES:
Use a fixed-point iteration method to determine a solution accurate to within 104 for x = tan x, for...Problem 17ES:
Use a fixed-point iteration method to determine a solution accurate to within 102 for x = 2 sin (x)...Problem 22ES:
a. Show that Theorem 2.3 is true if the inequality |g(x)| k is replaced by g(x) k, for all x (a,...Problem 23ES:
a. Use Theorem 2.4 to show that the sequence defined by xn=12xn1+1xn1,forn1, converges to 2 whenever...Browse All Chapters of This Textbook
Chapter 1.1 - Review Of CalculusChapter 1.2 - Round-off Errors And Computer ArithmeticChapter 1.3 - Algorithms And ConvergenceChapter 2.1 - The Bisection MethodChapter 2.2 - Fixed-point IterationChapter 2.3 - Newton’s Method And Its ExtensionsChapter 2.4 - Error Analysis For Iterative MethodsChapter 2.5 - Accelerating ConvergenceChapter 3.1 - Interpolation And The Lagrange PolynomialChapter 3.2 - Data Approximation And Neville’s Method
Chapter 3.3 - Divided DifferencesChapter 3.4 - Hermite InterpolationChapter 3.5 - Cubic Spline InterpolationChapter 3.6 - Parametric CurvesChapter 4.1 - Numerical DifferentiationChapter 4.2 - Richardson’s ExtrapolationChapter 4.3 - Elements Of Numerical IntegrationChapter 4.4 - Composite Numerical IntegrationChapter 4.5 - Romberg IntegrationChapter 4.6 - Adaptive Quadrature MethodsChapter 4.7 - Gaussian QuadratureChapter 4.8 - Multiple IntegralsChapter 4.9 - Improper IntegralsChapter 5.3 - Higher-order Taylor MethodsChapter 11.3 - Finite-difference Methods For Linear Problems
Book Details
This well-respected text introduces the theory and application of modern numerical approximation techniques to students taking a one- or two-semester course in numerical analysis. Providing an accessible treatment that only requires a calculus prerequisit
More Editions of This Book
Corresponding editions of this textbook are also available below:
EBK NUMERICAL ANALYSIS
9th Edition
ISBN: 9780100440487
EBK NUMERICAL ANALYSIS
9th Edition
ISBN: 9781133169338
Numerical Analysis
9th Edition
ISBN: 9780538733519
Numerical Analysis
8th Edition
ISBN: 9780534392000
Numerical Analysis 9th Edition
9th Edition
ISBN: 9780538735643
Analisis Numerico/ Numerical Analysis (spanish Edition)
7th Edition
ISBN: 9789706861344
Numerical Analysis
10th Edition
ISBN: 9781305730663
Numerical Analysis
10th Edition
ISBN: 9781305253674
EBK NUMERICAL ANALYSIS
10th Edition
ISBN: 9780100546301
EBK NUMERICAL ANALYSIS
10th Edition
ISBN: 8220100546303
Numerical Analysis
10th Edition
ISBN: 9781305253667
Related Math Textbooks with Solutions
Still sussing out bartleby
Check out a sample textbook solution.