C How to Program (8th Edition)
C How to Program (8th Edition)
8th Edition
ISBN: 9780133976892
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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Chapter 4, Problem 4.27E
Program Plan Intro

Program plan:

  1. Declare three nested FOR loops where each loop iterates up to 500.
  2. Inside the innermost FOR loop, check the condition for Pythagorean triples(If the sum of the squares of two sides is equal to the square of the third side, it is a Pythagorean triple).
  3. Print those values that satisfy the condition.

Summary Introduction:

The program is written in order to print Pythagorean triples less than 500.

Program description:

The main purpose of this program is to display the lengths of the three sides of a Pythagorean triangle. For this purpose, three nested FOR loops have been used with a simple print statement to display the values.

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TROUBLESHOOTING: Fix the errors in the code below and run the script with your modified code   function [x,numIter,omega] = gaussSeidel(func,x,maxIter,epsilon) % Solves Ax = b by Gauss-Seidel method with relaxation. % USAGE: [x,numIter,omega] = gaussSeidel(func,x,maxIter,epsilon) % INPUT: % func = handle of function that returns improved x using % x = starting solution vector % maxIter = allowable number of iterations (default is 500) % epsilon = error tolerance (default is 1.0e-9) % OUTPUT: % x = solution vector % numIter = number of iterations carried out % omega = computed relaxation factor if nargin < 4; epsilon = 1.0e-9; end if nargin < 3; maxIter = 500; end k = 10; p = 1; omega = 1; for numIter = 1:maxIter xOld = x; x = feval(func,x,omega); dx = sqrt(dot(x - xOld,x - xOld)); if dx < epsilon; return; end if numIter == k; dx1 = dx; end if numIter == k + p omega = 2/(1 + sqrt(1 - (dx/dx1)ˆ(1/p))); end end error(’Too many iterations’)

Chapter 4 Solutions

C How to Program (8th Edition)

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