The algebraic system reads Ax=b, where A = 2 0 -2 0 2 -1 0 -1...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The algebraic system reads Ax=b, where A = 2 0 -2 0 2 -1 0 -1 2 -1 0-1 2 b= -2 (a) Make a Maple procedure for Successive Over-Relaxation (SOR). (b) Perform 15 iterations of Jacobi and Gauss-Seidel methods, starting from xo = [0,0,0,0]. (c) Try to find the best w with which the SOR method converges fastest during the first 15 iterations. (d) Find the spectral radii of the iteration matrices of the Jacobi, the Gauss-Seidel, and the SOR. The algebraic system reads Ax=b, where A = 2 0 -2 0 2 -1 0 -1 2 -1 0-1 2 b= -2 (a) Make a Maple procedure for Successive Over-Relaxation (SOR). (b) Perform 15 iterations of Jacobi and Gauss-Seidel methods, starting from xo = [0,0,0,0]. (c) Try to find the best w with which the SOR method converges fastest during the first 15 iterations. (d) Find the spectral radii of the iteration matrices of the Jacobi, the Gauss-Seidel, and the SOR.
Expert Answer:
Answer rating: 100% (QA)
a Heres a Maple procedure for Successive OverRelaxation SOR Maple SORA b w x0 maxIterations epsilon local n x xold residual iteration n LinearAlgebraR... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
Students also viewed these mathematics questions
-
Analysts have estimated that XYZ Inc. will generate free cash flows (FCF) of $2 million, $2.5 million, and $2.75 million over the next three years, following which they believe that XYZs free cash...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
Formularium Management III Kevin Denis June 18, 2014 Use at own risk. Part I Inventory Control 1 Known demand (p198) 1.1 Basic EOQ model (p210) Assumptions: 1. Demand is xed at units per unit time....
-
A strip of metal is originally 1.5 m long. It is stretched in three steps: first to a length of 1.75 m, then to 2.0 m, and finally to 3.0 m. Show that the total true strain is the sum of the true...
-
You are provided with the following information for Aylesworth Inc. for the month ended October 31, 2012. Aylesworth uses a periodic method for inventory. Instructions(a) Calculate (i) ending...
-
Give some examples of unconstrained optimization in the field of chemical engineering.
-
The access code for a cars security system consists of four digits. Each digit can be any number from 0 through 9. How many access codes are possible when 1. each digit can be used only once and not...
-
Here are the prices of three bonds with 10-year maturities: Bond Coupon (%) Price (%) 2 ............................ 81.62 4 ............................ 98.39 8 ........................... 133.42 If...
-
A company has established that the relationship between the sales price for one of its product and the quantity sold per month is approximately p = 75 - 0.1D units (D is the demand or quantity sold...
-
What is a specific police department impacted by a recent legislative actions, court decisions, regulatory and statutory changes, and laws and ordinances? Analyze how the legislative actions, court...
-
Suppose your instructor wants to randomly choose one of the students in the class to ask a question. Suppose the probability that the instructor asks Sam, one of your classmates, is 0.05 and the...
-
In a simple Linde gas-liquefaction plant (see Fig. 18.13), air is taken in at the ambient conditions of 1 bar and \(300 \mathrm{~K}\). The water-jacketed compressor delivers the air at 200 bar and...
-
Double jeopardy occurs when, for the same offense, a person is (1) reprosecuted after acquittal, (2) reprosecuted after conviction, or (3) subjected to separate punishments for the same offense. ...
-
a. Find the partial-fraction expansion. b. AVerify (a) by using the residue command in MATLAB. \(\frac{s}{(s+1)\left(s^{2}+2 s+2 ight)}\)
-
A gas has the equation of state \[\frac{p v_{m}}{\Re T}=1+N p+M p^{2}\] where \(N\) and \(M\) are functions of temperature. Show that the equation of the inversion curve is \[p=-\frac{\mathrm{d}...
-
The Eighth Amendment prohibits cruel and unusual punishment. The death penalty is not permissible for criminals who were younger than 18 years old at the time of the crime or individuals deemed...
-
Find (u, v), ||u|, |v||, and d(u, v) for the given inner product defined on R. U= (6, 0, -6), v = (6, 9, 12), (u, v) = 2u1V1 + 342V2 + U3V3 (a) (u, v) (b) (c) ||v|| (d) d(u, v)
-
For a nonzero constant a, find the intercepts of the graph of (x 2 + y 2 ) 2 = a 2 (x 2 - y 2 ). Then test for symmetry with respect to the x-axis, the y-axis, and the origin.
-
How are qualified dividends taxed in 2012? Please give the two rates of tax which apply to qualified dividends, and specify when each of these rates applies._________________________...
-
Janie graduates from high school in 2012 and enrolls in college in the fall. Her parents pay $4,000 for her tuition and fees. a. Assuming Janie's parents have AGI of $170,000, what is the American...
-
In 2012, Gale and Cathy Alexander hosted an exchange student, Axel Muller, for 9 months. Axel was part of International Student Exchange Programs (a qualified organization). Axel attended tenth grade...
-
Model your car by using analogy approach and stable approach. Which one do you like more and why?
-
Model your dream house by using analogy approach and stable approach. Which one do you like more and why?
-
Try to find 23 scenarios where this pattern can be applicable.
Study smarter with the SolutionInn App