This project computes the two eigenvalues of a 50x50 matrix. You will use the usual Power...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
This project computes the two eigenvalues of a 50x50 matrix. You will use the usual Power Method to compute the largest eigenvalue. For the other eigenvalue, you will use the Inverse Power Method. Our matrix A is tridiagonal. Its main diagonal has ones on it. The super diagonal (the diagonal above the main diagonal) has negative-ones on it. The sub-diagonal (below the main diagonal) has negative-ones also. Our starting vector x has all ones. Our tolerance is 0.01. Turn in the following on one page 1) Draw Gershgorin Circles that contain the eigenvalues of A. 2) Based on part (1), what is the spectral radius of A. Print your answer here: 3) With a starting vector x.= [1 1 1 1....1], apply the usual power method to estimate max, the dominant-eigenvalue of matrix A. Use a tolerance of 0.01. Print your answer with 4 decimals: max 4) Print the number of iterations required to converge. 5) Use the Inverse Power Method to compute an eigenvalue closest to 0.8, with tolerance = 0.01 You may use the "inv" command in MATLAB to compute the inverse of a matrix. Print this eigenvalue "closest to 0.88" with 4 decimals: 6) Print the number of iterations required to converge. Do not print your computer program. This project computes the two eigenvalues of a 50x50 matrix. You will use the usual Power Method to compute the largest eigenvalue. For the other eigenvalue, you will use the Inverse Power Method. Our matrix A is tridiagonal. Its main diagonal has ones on it. The super diagonal (the diagonal above the main diagonal) has negative-ones on it. The sub-diagonal (below the main diagonal) has negative-ones also. Our starting vector x has all ones. Our tolerance is 0.01. Turn in the following on one page 1) Draw Gershgorin Circles that contain the eigenvalues of A. 2) Based on part (1), what is the spectral radius of A. Print your answer here: 3) With a starting vector x.= [1 1 1 1....1], apply the usual power method to estimate max, the dominant-eigenvalue of matrix A. Use a tolerance of 0.01. Print your answer with 4 decimals: max 4) Print the number of iterations required to converge. 5) Use the Inverse Power Method to compute an eigenvalue closest to 0.8, with tolerance = 0.01 You may use the "inv" command in MATLAB to compute the inverse of a matrix. Print this eigenvalue "closest to 0.88" with 4 decimals: 6) Print the number of iterations required to converge. Do not print your computer program.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Why do you think strategy is not the number 1 priority for employees today? With reference to Enterprise performance management?
-
can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
True or False? Azure storage is used by both Infrastructure as a Service ( ( laaS ) ) virtual machines, and Platform as a Service ( ( PaaS ) ) cloud services. True False
-
A three-phase line has an impedance of 1 + j3 per phase. The line feeds a balanced delta-connected load, which absorbs a total complex power of 12 + j5 k VA. If the line voltage at the load end has...
-
A finance professor and a marketing professor were recently comparing notes on their perceptions of corporations. The finance professor claimed the goal of a corporation should be to maximize the...
-
The following information pertains to a product sold by Gomez Company: Instructions: 1. Determine the net income or loss a. if 17,000 units are sold. b. if 20,000 units are sold. c. if 23,000 units...
-
An employee earns $60 per hour and 1.5 times that rate for all hours in excess of 40 hours per week. Assume that the employee worked 55 hours during the week, Assume further that the social security...
-
Carry out a full strategic analysis of any large multinational organisation of your choice within the global electronics market. You can choose any organisation you wish, but you are strongly advised...
-
A bond with a face value of $1,000 will mature 7 years from today. This bond pays coupons semi-annually, and it has an annual coupon rate of 6.50%. If this bond is selling for $808.91 today, what is...
-
In the context of hospitality management, analyze the components of an operations management system. Identify and evaluate three of the most critical components and discuss their potential impact on...
-
How is organizational buy - in a key issue in adopting project management methodologies?
-
Poly 255 Polymorphism - abstract class Banking Account class. Create an application with an abstract class called Account with an abstract method calculate Interest, derive the following three...
-
A discriminating monopolist ought to know the demand function facing him in each market in order to make good profits. a) With use of diagrams show how differences in the elasticity of demand will...
-
How to be a good manager by Ronald Khol. write 5 sentences paragraph.
-
For a wind speed of 6 m/s, a stack gas exit velocity of 20 m/s, a stack diameter of 4 m, a heat emission rate of 15 MW, and an ambient pressure of 950 mbar, calculate the final plume rise in a...
-
Draw the appropriate control flow graph of the given pseudocode.Make sure to only use one number for blocks of code which are all sequential and when the first line is executed, all of those lines...
-
Use of a payroll service bureau or a PEO provides all of these benefits except which of the following? a. integration of payroll and personnel data, such as job skills b. lower cost of processing...
-
Which document lists the components needed to manufacture a specific product? a. operations list b. master production schedule c. bill of materials d. production order
-
This chapter noted many of the benefits that can arise by integrating the HRM and payroll databases. Nevertheless, many companies maintain separate payroll and HRM information systems. Why do you...
Study smarter with the SolutionInn App