Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
3. The polynomial z-z-1 has two roots, r1 =-0.618, T2 = 1.618. We can write r- -1 0 in the form r2 r+ 1, and then z = and try the iteration rn+1 =1+. 1+ %3D Will this converge, for ro near ri = -0.618? Justify your answer theoretically. Will it converge near r2 = 1.618? %3D gl (-acı8) = -2.62 g'C1.C18) = 6.382 %3D 10 %3D

3. The polynomial z-z-1 has two roots, r1 =-0.618, T2 = 1.618. We can write r- -1 0 in the form r2 r+ 1, and then z = and try the iteration rn+1 =1+. 1+ %3D Will this converge, for ro near ri = -0.618? Justify your answer theoretically. Will it converge near r2 = 1.618? %3D gl (-acı8) = -2.62 g'C1.C18) = 6.382 %3D 10 %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Need explanation on the following problem. Especially on g’(-0.618) = -2.62. Why does this root diverges ?
3. The polynomial x-r-1 has two roots, r1= -0.618, T2 = 1.618. We can write z- I-1 = 0 in the form r = r+ 1, and then z =1+ and try the iteration rn+1 = 1+ = -0.618? Justify your answer Will this converge, for Io near ri = theoretically. Will it converge near r2 1.618? gl (aci8) = -2,62 g'CI.G18) = 0.382 %3D
Transcribed Image Text:3. The polynomial x-r-1 has two roots, r1= -0.618, T2 = 1.618. We can write z- I-1 = 0 in the form r = r+ 1, and then z =1+ and try the iteration rn+1 = 1+ = -0.618? Justify your answer Will this converge, for Io near ri = theoretically. Will it converge near r2 1.618? gl (aci8) = -2,62 g'CI.G18) = 0.382 %3D
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS