MACHINE PROBLEM 2 Numerical Methods WRITE A COMPUTER PROGRAM USING ANY LANGUAGE OF YOUR CHOICE THAT WILL IMPLEMENT BAIRSTOWS METHOD FOR FINDING THE ROOTS OF A GIVEN POLYNOMIAL FUNCTION. PROGRAM INPUT - the program should input the following: a) degree of the polynomial function b) coefficients of the polynomial function PROGRAM OUTPUT - the program should consist of the following: a) echo print of the input data b) Bairstow's table for each Quadratic factor Print only • FIRST TABLE • MIDDLE TABLE FINAL TABLE x² + Ugx + Vk Iteration condition |bn|and | bn-1| < 0.001 TEST DATA: 1. x* – 2x3 + 3x² + 4x + 4 = 0 2. x6 – 8x5 + 25x* – 32x3 – x² + 40x – 25 = 0 3. x8 – x7 – 39x + 37x5 + 446x* – 180x³ – 1928x² – 256x + 1920 = 0 (answer: -2, -2, -2, 4, 4, 1, 3, -5) 4. x8 – 7x7 – 11x6 + 41x5 – 183x* + 231x³ + 21x? – 265x + 150 = 0

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MACHINE PROBLEM 2
Numerical Methods
WRITE A COMPUTER PROGRAM USING ANY LANGUAGE OF YOUR
CHOICE THAT WILL IMPLEMENT BAIRSTOWS METHOD FOR FINDING
THE ROOTS OF A GIVEN POLYNOMIAL FUNCTION.
PROGRAM INPUT
- the program should input the following:
a) degree of the polynomial function
b) coefficients of the polynomial function
PROGRAM OUTPUT - the program should consist of the following:
a) echo print of the input data
b) Bairstow's table for each Quadratic factor
Print only
· FIRST TABLE
• MIDDLE TABLE
• FINAL TABLE
x² + Ugx + Vk
Iteration condition
|bn|and | bn-1| < 0.001
TEST DATA:
1. x* – 2x3 + 3x² + 4x + 4 = 0
|
2. x6 – 8x5 + 25x4 – 32x3 – x² + 40x – 25 = 0
3. x8 – x7 – 39xo + 37x5 + 446x* – 180x³ – 1928x² – 256x + 1920 = 0
(answer: -2, -2, -2, 4, 4, 1, 3, -5)
4. x8 – 7x7 – 11x6 + 41x5 – 183x* + 231x3 + 21x² – 265x + 150 = 0
%3D
Transcribed Image Text:MACHINE PROBLEM 2 Numerical Methods WRITE A COMPUTER PROGRAM USING ANY LANGUAGE OF YOUR CHOICE THAT WILL IMPLEMENT BAIRSTOWS METHOD FOR FINDING THE ROOTS OF A GIVEN POLYNOMIAL FUNCTION. PROGRAM INPUT - the program should input the following: a) degree of the polynomial function b) coefficients of the polynomial function PROGRAM OUTPUT - the program should consist of the following: a) echo print of the input data b) Bairstow's table for each Quadratic factor Print only · FIRST TABLE • MIDDLE TABLE • FINAL TABLE x² + Ugx + Vk Iteration condition |bn|and | bn-1| < 0.001 TEST DATA: 1. x* – 2x3 + 3x² + 4x + 4 = 0 | 2. x6 – 8x5 + 25x4 – 32x3 – x² + 40x – 25 = 0 3. x8 – x7 – 39xo + 37x5 + 446x* – 180x³ – 1928x² – 256x + 1920 = 0 (answer: -2, -2, -2, 4, 4, 1, 3, -5) 4. x8 – 7x7 – 11x6 + 41x5 – 183x* + 231x3 + 21x² – 265x + 150 = 0 %3D
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