Question

(a) State one advantage of Newton interpolation over the Vandermonde matrix method, and one advantage of...

(a) State one advantage of Newton interpolation over the Vandermonde matrix method, and one advantage of Lagrange interpolation over Newton interpolation.

(b) Is Bisection search a fixed point method? Justify your answer.

(c) Give two reasons why the triangular matrix method for Newton interpolation might be preferable over the Vandermonde matrix method.

Engineering   Computer-Science   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a) The advantage of the newton interpolation method over vandermonde matrix method is its non-reliance on matrix inversion (which can fail due to vanishing determinants).

The Lagrange approach amounts to diagonalizing the problem of finding the coefficients, so it takes only linear time to find the coefficients. This is good if you need to use the same set of points repeatedly when comared to newton interpolation

b) The Bisection Method looks to find the value c for which the plot of the function f crosses the x-axis. The c value is in this case is an approximation of the root of the function f (x). How close the value of c gets to the real root depends on the value of the tolerance we set for the algorithm.

c) 1)It give accurate value by using triangular matrix method

2)It is simple or easy to implement therotically and also practical understanding

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The standard addition method is used when a. the sample matrix is very complicated b. something...
The standard addition method is used when a. the sample matrix is very complicated b. something in the sample interferes with the analysis of the analyte c. the instrument is unstable over time d. the detection limit for the analyte is too high The answer is B, please explain why and why other answers are wrong!
12-3: One advantage of the step-down method of allocating service department costs to production departments, over...
12-3: One advantage of the step-down method of allocating service department costs to production departments, over the direct method, is the following: (A)       Some interaction among service departments (i.e., service departments providing services to other service departments) is accounted for. (B)       The step-down method is easier to apply (i.e., it is less complicated). (C)       All service department costs are eventually allocated to production departments. (D)       All interaction among service departments (i.e., service departments providing services to other service departments) is...
A) List one example of a fixed cost that might be considered variable over the long...
A) List one example of a fixed cost that might be considered variable over the long run, and describe why it might be considered variable: B) What benefit(s) might result from a customer profitability analysis? Select one: a. Establishing payment methods and terms for customers b. Determining which customers you might wish to keep c. None of these choices are correct. d. Verifying orders that were placed have been shipped to customers e. Identifying top customers by sales and by...
Homeostatic systems maintain a steady-state set point over time using negative feedback. Which one of the...
Homeostatic systems maintain a steady-state set point over time using negative feedback. Which one of the following statement is NOT TRUE for stability of metabolic system: Select one: a. Metabolic systems that oscillate must have multiple control variables b. Step changes in a controlled variable will return the system to its original state using negative feedback c. Perturbations from steady state, either positive or negative, result in recovery reactions that return the system to its original state d. A positive...
(a) Show that the equation x = 14 \ln x has at least one real solution....
(a) Show that the equation x = 14 \ln x has at least one real solution. (b) This is an example of what sort of equation? (Professor said the answer is Ans. fixed point but I don't know why.) (c) By using an iterative method of your choice, find a numerical approximation of       the solution valid to 5 decimal places.
2. You are using a digital multimeter (DMM) to measure the voltage across a resistor. The...
2. You are using a digital multimeter (DMM) to measure the voltage across a resistor. The values displayed on the DMM vary, with five consecutive values being 2.412, 2.432, 2.418, 2.422, and 2.416 V (this happens even though no connections are changing). These fluctuations give rise to an uncertainty in the measured value of resistance. a) (1 point) One method of quantifying the uncertainty in the measurement is to take half of the range of the largest fluctuating digit. Using...
(a). State TWO contrasts between Pure Project Teams and Matrix Project Teams. Give an example of...
(a). State TWO contrasts between Pure Project Teams and Matrix Project Teams. Give an example of each. 3(b). The following data relates to the activities required for a project. Since exact duration for each activity is not known for certain, three time estimates were made, namely: - the optimistic, most likely and pessimistic time estimates. The precedence relationships are also shown in the data below. You will need to analyze this problem using what you learned in Chapter 18 of...
Use the following Payoff Matrix for Company A and Company B, the only two companies that...
Use the following Payoff Matrix for Company A and Company B, the only two companies that produce widgets, to answer the following questions. What is the expected outcome of this one-time (not repeated) game? Defend your answer. How might your answer change if the game is repeated indefinitely? To what extent does this example illustrate why firms in some concentrated oligopolies exhibit cooperative or collusive behavior even though they don’t explicitly collude? Company A Lowers Price Company B’s Payoff: $100...
1) In one brief bullet point or sentence, state or explain the logic of why the...
1) In one brief bullet point or sentence, state or explain the logic of why the individual polypeptides involved in purine biosynthesis must come together to form a multi-subunit enzyme. 2) Based on what you know about carboxylase enzymes that we have learned about in this course, what coenzyme would you predict would be part of 5′-Aminoimidazole ribonucleotide carboxylase. Justify your answer by citing an example in this course where that coenzyme was required in a carboxylase enzyme. Finally, state...
2. The function f(x) = 1 1 + 1.25x 2 has one inflection point on the...
2. The function f(x) = 1 1 + 1.25x 2 has one inflection point on the interval 0 ≤ x ≤ 2. (a) Find the inflection point of the function f(x). Write the answer with ALL the decimal places the calculator gives. Do not round the calculator answer. calculator answer: (b)Sketch the graph of f(x) over the interval 0 ≤ x ≤ 2. Label the inflection point of f(x) in your sketch. Give the window you use. (c)(2 points) Use...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT