Numerical Analysis3rd EditionSauer, Tim Publisher: Pearson,ISBN: 9780134696454
Numerical Analysis
Solutions for Numerical Analysis
Problem 6E:
For which of the following is a fixed point?
Problem 7E:
Use Theorem 1.6 to determine whether Fixed-Point Iteration of gx is locally convergent to the given...Problem 8E:
Use Theorem 1.6 to determine whether Fixed-Point Iteration of gx is locally convergent to the given...Problem 9E:
Find each fixed point and decide whether Fixed-Point Iteration is locally convergent to it. (a)...Problem 10E:
Find each fixed point and decide whether Fixed-Point Iteration is locally convergent to it. (a)...Problem 11E:
Express each equation as a fixed-point problem x=gx in three different ways. (a) x3x+ex=0 (b)...Problem 12E:
Consider the Fixed-Point Iteration xgx=x20.24 . (a) Do you expect Fixed-Point Iteration to calculate...Problem 13E:
(a) Find all fixed points of.
(b) To which of the fixed-points is Fixed-Point Iteration locally...Problem 14E:
Which of the following three Fixed-Point Iterations converge to 2 ? Rank the ones that converge from...Problem 15E:
Which of the following three Fixed-Point Iterations converge to? Rank the ones that converge from...Problem 16E:
Which of the following three Fixed-Point Iterations converge to the cube root of 4? Rank the ones...Problem 17E:
Check that and -1 are roots of. Isolate the term and solve for to find two candidates for. Which...Problem 18E:
Prove that the method of Example 1.6 will calculate the square root of any positive number.
Problem 19E:
Explore the idea of Example 1.6 for cube roots. Lf is a guess that is smaller than, then will be...Problem 20E:
Improve the cube root algorithm of Exercise 19 by reweighting the average. Setting for some fixed...Problem 23E:
Assume that gx is continuously differentiable and that the Fixed-Point Iteration gx has exactly...Problem 24E:
Assume that g is a continuously differentiable function and that the Fixed-Point Iteration gx has...Problem 26E:
Prove that a continuously differentiable function satisfying on a closed interval cannot have two...Problem 32E:
Find the set of all initial guesses for which the Fixed-Point Iteration converges to a fixed point....Problem 3CP:
Calculate the square roots of the following numbers to eight correct decimal places by using...Browse All Chapters of This Textbook
Chapter 0.1 - Evaluating A PolynomialChapter 0.2 - Binary NumbersChapter 0.3 - Floating Point Representation Of Real NumbersChapter 0.4 - Loss Of SignificanceChapter 0.5 - Review Of CalculusChapter 1.1 - The Bisection MethodChapter 1.2 - Fixed-point IterationChapter 1.3 - Limits Of AccuracyChapter 1.4 - Newton’s MethodChapter 1.5 - Root-finding Without Derivatives
Chapter 2.1 - Gaussian EliminationChapter 2.2 - The Lu FactorizationChapter 2.3 - Sources Of ErrorChapter 2.4 - The Pa = Lu FactorizationChapter 2.5 - Iterative MethodsChapter 2.6 - Methods For Symmetric Positive-definite MatricesChapter 2.7 - Nonlinear Systems Of EquationsChapter 3.1 - Data And Interpolating FunctionsChapter 3.2 - Interpolation ErrorChapter 3.3 - Chebyshev InterpolationChapter 3.4 - Cubic SplinesChapter 3.5 - Bézier CurvesChapter 4.1 - Least Squares And The Normal EquationsChapter 4.2 - A Survey Of ModelsChapter 4.3 - Qr FactorizationChapter 4.4 - Generalized Minimum Residual (gmres) MethodChapter 4.5 - Nonlinear Least SquaresChapter 5.1 - Numerical DifferentiationChapter 5.2 - Newton-cotes Formulas For Numerical IntegrationChapter 5.3 - Romberg IntegrationChapter 5.4 - Adaptive QuadratureChapter 5.5 - Gaussian QuadratureChapter 6.1 - Initial Value ProblemsChapter 6.2 - Analysis Of Ivp SolversChapter 6.3 - Systems Of Ordinary Differential EquationsChapter 6.4 - Runge–kutta Methods And ApplicationsChapter 6.5 - Variable Step-size MethodsChapter 6.6 - Implicit Methods And Stiff EquationsChapter 6.7 - Multistep MethodsChapter 7.1 - Shooting MethodChapter 7.2 - Finite Difference MethodsChapter 7.3 - Collocation And The Finite Element MethodChapter 8.1 - Parabolic EquationsChapter 8.2 - Hyperbolic EquationsChapter 8.3 - Elliptic EquationsChapter 8.4 - Nonlinear Partial Differential EquationsChapter 9.1 - Random NumbersChapter 9.2 - Monte Carlo SimulationChapter 9.3 - Discrete And Continuous Brownian MotionChapter 9.4 - Stochastic Differential EquationsChapter 10.1 - The Fourier TransformChapter 10.2 - Trigonometric InterpolationChapter 10.3 - The Fft And Signal ProcessingChapter 11.1 - The Discrete Cosine TransformChapter 11.2 - Two-dimensional Dct And Image CompressionChapter 11.3 - Huffman CodingChapter 11.4 - Modified Dct And Audio CompressionChapter 12.1 - Power Iteration MethodsChapter 12.2 - Qr AlgorithmChapter 12.3 - Singular Value DecompositionChapter 12.4 - Applications Of The SvdChapter 13.1 - Unconstrained Optimization Without DerivativesChapter 13.2 - Unconstrained Optimization With Derivatives
Sample Solutions for this Textbook
We offer sample solutions for Numerical Analysis homework problems. See examples below:
Given information: f(x)=x3−4x+1 Theorem used: Intermediate Value Theorem: If f is a continuous...Given information:Initial guesses x0=1 and x1=2 and equation is (a) x3=2x+2 . Calculation: With the...Chapter 2.7, Problem 1EChapter 3.5, Problem 1EChapter 4.5, Problem 1EChapter 5.5, Problem 1EChapter 6.7, Problem 1EChapter 7.3, Problem 1CPChapter 8.4, Problem 1E
More Editions of This Book
Corresponding editions of this textbook are also available below:
Student Solutions Manual for Numerical Analysis
2nd Edition
ISBN: 9780321783929
Numerical Analysis
2nd Edition
ISBN: 9780321783677
Numerical Analysis, Books A La Carte Edition (2nd Edition)
2nd Edition
ISBN: 9780321816764
EBK NUMERICAL ANALYSIS
3rd Edition
ISBN: 9780134699370
Numerical Analysis
3rd Edition
ISBN: 9780134697376
Numerical Analysis, Books A La Carte Edition (3rd Edition)
3rd Edition
ISBN: 9780134697338
Numerical Analysis
1st Edition
ISBN: 9780321268983
Student Solutions Manual For Numerical Analysis
1st Edition
ISBN: 9780321286864
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