Gaussian elimination, the classic algorithm for solving systems of n linear equations in n unknowns, requires...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Gaussian elimination, the classic algorithm for solving systems of n linear equations in n unknowns, requires about 1/3*n^3 multiplications, which is the algorithm's basic operation. a. [20 points] How much longer should you expect Gaussian elimination to work on a system of 1000 equations versus a system of 500 equations? b. [30 points] You are considering buying a computer that is 1000 times faster than the one you currently have. By what factor will the faster computer in- crease the sizes of systems solvable in the same amount of time as on the old computer? Gaussian elimination, the classic algorithm for solving systems of n linear equations in n unknowns, requires about 1/3*n^3 multiplications, which is the algorithm's basic operation. a. [20 points] How much longer should you expect Gaussian elimination to work on a system of 1000 equations versus a system of 500 equations? b. [30 points] You are considering buying a computer that is 1000 times faster than the one you currently have. By what factor will the faster computer in- crease the sizes of systems solvable in the same amount of time as on the old computer?
Expert Answer:
Answer rating: 100% (QA)
a To estimate how much longer Gaussian elimination will work on a system of 1000 equations compared ... View the full answer
Related Book For
Posted Date:
Students also viewed these finance questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
Read the case study "Southwest Airlines," found in Part 2 of your textbook. Review the "Guide to Case Analysis" found on pp. CA1 - CA11 of your textbook. (This guide follows the last case in the...
-
In 2006, Walmart was operating more than 6,500 stores with 1.8 million employees around the world. In the early 1990s, Walmart Stores Inc. expanded into Canada, with the purchase of 122 stores from...
-
A reversible engine contains 0.350 mol of ideal monatomic gas, initially at 586 K and confined to a volume of 2.42 L. The gas undergoes the following cycle: Isothermal expansion to 4.64 L ...
-
Bolero Company holds 80 percent of the common stock of Rivera, Inc., and 40 percent of this subsidiarys convertible bonds. The following consolidated financial statements are for 2023 and 2024...
-
Harris, Inc., paid a \($3\) dividend yesterday. If the firm raises its dividend at 5 percent every year and the appropriate discount rate is 12 percent, what is the price of Harris stock?
-
Soto Corporations balance sheet indicates that the company has $300,000 invested in operating assets. During 2011, Soto earned operating income of $45,000 on $600,000 of sales. Required a. Compute...
-
Suppose that Ally Financial Inc. issued a bond with 10 years until? maturity, a face value of $ 1 comma 000 $1,000?, and a coupon rate of 7 % 7% ?(annual payments). The yield to maturity on thi...
-
Lowes Companies, Inc., is a home improvement company offering a range of products for maintenance, repair, remodeling, and decorating. During the recovery phase since the financial crisis of 2008,...
-
You have just purchased a new house for $150,000! You have been given a financing option that allows you to make yearly payments for 20 years at an interest rate of 6%. In order to take advantage of...
-
The controls designed to establish a well-documented trail showing how a computer program was prepared are a part of: a. Input controls. b. Processing controls. c. Administrative controls. d. Output...
-
There is a vast difference between a. Judgment sampling and audit judgment. b. Variables sampling and estimation sampling. c. Discovery sampling and exploratory sampling. d. Precision and confidence...
-
What pleadings the defendant may file in response to the complaint?
-
A director of internal auditing submits annual evaluation reports: a. To reemphasize what has been submitted in audit reports. b. To report on significant weaknesses disclosed by internal auditors....
-
What the methods are for service of a summons and complaint?
-
11) Husky Fund : Stock Shares Price IBM 500 $ 180.00 MSFT 4,000 $ 30.00 NAV= 5000 6% (front-end load) . , 10% $10,000 . 0.5% (management fees) 12b-1 fees 0.5%. . 51% a) (NAV)? b) ? c) . 20 ?
-
1. Using the information from Problem 16-4B, prepare a statement of cash flows for Lim Garden Supplies Inc. using the direct method of presenting cash flows from operating activities. 2. How does Lim...
-
Show that each of the following initial-value problems has a unique solution and find the solution. Can Theorem 5.4 be applied in each case? a. y' = ety, 0 t 1, y(0) = 1. b. y' = t2(sin 2t 2ty), 1...
-
Derive a method for approximating f''' (x0) whose error term is of order h2 by expanding the function f in a fourth Taylor polynomial about x0 and evaluating at x0 h and x0 2h.
-
Repeat Exercise 17 using the results of Exercise 7. In Exercise 17 a. y(1.25) and y(1.93) b. y(2.1) and y(2.75) c. y(1.3) and y(1.93)\ d. y(0.54) and y(0.94)
-
Aim Inc. had the following activity for the years 2020-2022. - Prepaid maintenance contract: \(\$ 30,000\) on January 1,2020 , for a three-year period beginning January 1 , 2020. - Deferred revenue:...
-
On December 31, 2020, Colgait Inc. had an installment sale receivable balance of \(\$ 90,000\) recognized on its financial statements, while the amount was not recognized for tax purposes. Colgait...
-
Tyson Corporation reported pretax income from operations in 2020 of \(\$ 80,000\) (the first year of operations). In 2021, the corporation experienced a \(\$ 40,000\) NOL (pretax loss from...
Study smarter with the SolutionInn App