Statistics and Numerical Methods: Unit III: Solution of Equations and Eigenvalue Problems

Short Questions and Answers

Fixed point Iteration x = g(x) method

Home | Department: EEE Department | Ist Year | Subject: Statistics and Numerical Methods |

Statistics and Numerical Methods : Unit - III : Solution of Equations and Eigenvalue Problems : Short Questions and Answers

SHORT QUESTIONS AND ANSWERS

1. What is the condition for applying the fixed point iteration method (successive approximation method) to find the real root of the equation x = f(x). [A.U CBT M/J 2010] [A.U M/J 2016 R13] [A.U A/M 2017 R081A.U A/M 2018 R08]

Solution: The condition for convergence is that in the neighbourhood of the root g'(x) < 1

2. What is the order of convergence for fixed point iteration ? [A.U N/D 2013]

Solution: The convergence is linear and the convergence is of order 1.

3. True or false : 'Iteration method' is a self correction method.

Solution: True, in general, iteration method is a self correction method, since the round-off error is smaller.

4. In the case of fixed point iteration method, the convergence is

(a) Linear, (b) Quadratic, (c) Very slow, (d) h²

Solution: (a) Linear.8

5. If g (x) is continuous in [a, b], then under what condition of the iterative method x = g(x) has a unique solution in [ a, b ]?

Solution: The condition for convergence is that in the neighbourhood of the root g'(x) < 1

6. Write sufficient condition for convergence of an iterative method for f(x)=0 written as x= g(x) [A.U. A/M 2010, CBT N/D 2010] [A.U N/D 2016 R8-10]

Solution:

The sufficient condition for convergence is g'(x) < 1

Statistics and Numerical Methods: Unit III: Solution of Equations and Eigenvalue Problems : Tag: : Fixed point Iteration x = g(x) method - Short Questions and Answers

Home | Department: EEE Department | Ist Year | Subject: Statistics and Numerical Methods |

<< Previous

Next >>

Statistics and Numerical Methods: Unit III: Solution of Equations and Eigenvalue Problems

Solution of Equations and Eigenvalue Problems

(a) statement of fixed point theorem lein- fixed point iteration fixed point iteration x = g(x) method. - Solved Example Problems

Short Questions and Answers - Fixed point Iteration x = g(x) method

Exercise 3.1 (a) [Fixed point Iteration x = g(x) method] - Solved Example Problems | Solution of Equations and Eigenvalue Problems

3.1 (b) newton's method [or Newton-Raphson method] - Solved Example Problems | Solution of Equations and Eigenvalue Problems

Short Questions and Answers - Newton's Method

Exercise 3.1(b) [Newton's Method] - Solution of Equations and Eigenvalue Problems

Solution of linear system of equations by gaussian elimination and gauss-jordon methods - Solved Example Problems

Short Questions and Answers - Gaussian Elimination and Gauss-Jordan

Exercise 3.2 [Gaussian Elimination and Gauss- Jordan] - Solution of Equations and Eigenvalue Problems

Iterative Methods - Types, Solved Example Problems | Solution of Equations and Eigenvalue Problems

Short Questions and Answers - Gauss-Jocobi method & Gauss-Seidel method

Exercise 3.3 [Gauss-Jocobi method & Gauss-Seidel method] - Solved Example Problems | Solution of Equations and Eigenvalue Problems

Eigen values of a Matrix by Power Method - Solved Example Problems | Solution of Equations and Eigenvalue Problems

Short Questions and Answers - Eigenvalue of a matrix by power method

Under Subject

Statistics and Numerical Methods

MA3251 2nd Semester 2021 Regulation M2 Engineering Mathematics 2 | 2nd Semester Common to all Dept 2021 Regulation

Related Subjects

Professional English II

HS3251 2nd Semester 2021 Regulation | 2nd Semester Common to all Dept 2021 Regulation

Statistics and Numerical Methods

MA3251 2nd Semester 2021 Regulation M2 Engineering Mathematics 2 | 2nd Semester Common to all Dept 2021 Regulation

Engineering Graphics

GE3251 eg 2nd semester | 2021 Regulation | 2nd Semester Common to all Dept 2021 Regulation

Physics for Electrical Engineering

PH3202 2nd Semester 2021 Regulation | 2nd Semester EEE Dept 2021 Regulation

Basic Civil and Mechanical Engineering

BE3255 2nd Semester 2021 Regulation | 2nd Semester EEE Dept 2021 Regulation

Electric Circuit Analysis

EE3251 2nd Semester 2021 Regulation | 2nd Semester EEE Dept 2021 Regulation

Physics for Electronics Engineering

PH3254 - Physics II - 2nd Semester - ECE Department - 2021 Regulation | 2nd Semester ECE Dept 2021 Regulation

Electrical and Instrumentation Engineering

BE3254 - 2nd Semester - ECE Dept - 2021 Regulation | 2nd Semester ECE Dept 2021 Regulation

Circuit Analysis

EC3251 - 2nd Semester - ECE Dept - 2021 Regulation | 2nd Semester ECE Dept 2021 Regulation

Materials Science

PH3251 2nd semester Mechanical Dept | 2021 Regulation | 2nd Semester Mechanical Dept 2021 Regulation

Basic Electrical and Electronics Engineering

BE3251 2nd semester Mechanical Dept | 2021 Regulation | 2nd Semester Mechanical Dept 2021 Regulation

Physics for Civil Engineering

PH3201 2021 Regulation | 2nd Semester Civil Dept 2021 Regulation

Basic Electrical, Electronics and Instrumentation Engineering

BE3252 2021 Regulation | 2nd Semester Civil Dept 2021 Regulation

Physics for Information Science

PH3256 2nd Semester CSE Dept | 2021 Regulation | 2nd Semester CSE Dept 2021 Regulation

Basic Electrical and Electronics Engineering

BE3251 2nd Semester CSE Dept 2021 | Regulation | 2nd Semester CSE Dept 2021 Regulation

Programming in C

CS3251 2nd Semester CSE Dept 2021 | Regulation | 2nd Semester CSE Dept 2021 Regulation