Question: CAS Experiment (a) Write a program for the iteration in Example 4 (with any A and x0) that at each step prints the mid point

CAS Experiment
(a) Write a program for the iteration in Example 4 (with any A and x0) that at each step prints the mid point (why?) the endpoints, and the length of the inclusion interval.
(b) Apply the program to symmetric matrices of your choice. Explore how convergence depends on the choice of initial vectors. Can you construct cases in which the lengths of the inclusion intervals are not monotone decreasing? Can you explain the reason? Can you experiment on the effect of rounding?

Step by Step Solution

★★★★★

3.40 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

CAS Experiment a The midpoint is an approximation fo... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1-M-N-A-N-L-A (23).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

Write C++ program for the World Bowling Competition. An input file, scores.txt , contains the name of each player, the name of the players team, and each players individual score. There will only be...

Write a program for the Knight?s Tour problem. Your program should let the user move a knight to any starting square and click the Solve button to animate a knight moving along the path, as shown in...

Write one program for the absolute beginner" and complete challenge question. Write a function prototype for the following components: a function that divides two numbers and returns the remainder, a...

Python and most Python libraries are free to download or use, though many users use Python through a paid service. Paid services help IT organizations manage the risks associated with the use of...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Please do the coding as given in the instructions. I also provided the starter code and do it in C++ 1 Overview For this assignment, we will implement a simple typing tutor. The program will give...

In Java lang This lab consists of the following sections: Submit the outcome of your Lab work as *.java files with comments on the lab solutions for the following segments: Designing Recursion...

Data set Theory Assume an informational record with one association parent including matches (a, b) where a can't try not to be a parent of b. (a) Write a Datalog demand which gives the graph of...

HOMEWORK C++ An organization can be applied paying little mind to recovery. Since it is associated with dynamic attacks, focal issue will be area rather than aversion. If a encroachment is perceived...

3. For alternating current, capacitor behaves as a (5 Points) short circuit open circuit infinite resistor none of these

Brian is the operating manager of Oriole, a company that manufactures three different types of all-terrain vehicles: four-wheelers, personal watercraft, and snowmobiles. Naturally, Brian has the...

What is the interpretation of the Y intercept and the slope in the simple linear regression equation?

In its March 31, 2017 SEC Form 10-K, Lions Gate Entertainment Corp. (Lionsgate) reports uncon- solidated equity method investments at $322.9 million on its balance sheet and $10.7 million on its...

You are a financial analyst for YADRA Investment Ltd. You are required to analyze Communication Fiji Limited firm listed on the South Pacific Stock Exchange (SPSE). You are then required to recommend...

Consider the three circuits in Figure Q26.2. Rank in order, from largest to smallest, the average total powers P 1 to P 3 dissipated by all the resistors in each circuit. Explain. ww R FIGURE Q26.2 2...

Find the work done by a force p acting on a body if the body is displaced along the straight segment AB from A to B. Sketch AB and p. Show the details. p = [6, -3, -3], A: (1, 5, 2), B: (3, 4, 1)

Find a parametric representation Intersection of 2x - y + 3z = 2 and x + 2y - z = 3.

Let a = [3, 2, 0] = 3i + 2j; b = [-4, 6, 0] = 4i + 6j, c = [5, -1, 8] = 5i - j + 8k, d = [0, 0, 4] = 4k. Find: 4a + 3b, -4a - 3b

Given the velocity potential of a flow, find the velocity v = f of the field and its value v(P) at P. Sketch v(P) and the curve f = const passing through P. f = x 2 - 6x - y 2 , P: (-1, 5)

Find a parametric representation Helix x 2 + y 2 = 25, z = 2 arctan (y/x).

Assume Juan bought 24 ounces of gold for $5,280 as protection against rising inflation. He sold half the gold in 1980 at a price of $545 an ounce. Juan sold the other half in 1982 when the price was...