How Can Lagrange Interpolation Be Implemented in Software Development?

AI Thread Summary
The discussion focuses on developing software to compute polynomial functions using the Lagrange interpolation method. The program requires input of a specified number of data points, including independent variable values (Xi) and their corresponding dependent variable values (F(Xi)). These data points will be stored in arrays, with the interpolation value stored separately. The implementation will involve two loops in the code to calculate the interpolated value F(X) based on the provided data. Resources for understanding the Lagrangian interpolation algorithm are suggested, including numerical methods textbooks and Wikipedia.
NewCoder
Messages
1
Reaction score
0
Basically I've got to design and develop a software for computing a polynomial function involving a set of data points. I've got to use an algorithm based on the lagrange interpolation method. I know it should involve two loops inside the code.

What I've been told is that
"The input to the program should consist of a
given number of data points 'n', the values of the independent
variables 'Xi' and the dependent variable 'F(Xi)' at each point,
and the 'X' value for interpolation. The data points will be
stored in arrays "x[]" and "f[]", and the 'X' value for
interpolation is stored in "x_value". Your program should
be able to determine 'F(X)' using this information."

Anyone got any ideas?
 
Technology news on Phys.org
You should be able to find a good explanation of the Lagrangian interpolation algorithm in just about any numerical methods textbook or even on Wikipedia I imagine.
 

Thread 'Learning Assembly and computer architecture for x86'

Dear Peeps I have posted a few questions about programing on this sectio of the PF forum. I want to ask you veterans how you folks learn program in assembly and about computer architecture for the x86 family. In addition to finish learning C, I am also reading the book From bits to Gates to C and Beyond. In the book, it uses the mini LC3 assembly language. I also have books on assembly programming and computer architecture. The few famous ones i have are Computer Organization and...
View full post »

Thread 'Microsoft Technical Interview question'

I had a Microsoft Technical interview this past Friday, the question I was asked was this : How do you find the middle value for a dataset that is too big to fit in RAM? I was not able to figure this out during the interview, but I have been look in this all weekend and I read something online that said it can be done at O(N) using something called the counting sort histogram algorithm ( I did not learn that in my advanced data structures and algorithms class). I have watched some youtube...
View full post »

Similar threads

Python 3d interpolation in Python using a mesh grid
Replies
1
Views
11K
Python How can I input a polynomial equation of infinite terms in P
Replies
1
Views
2K
Interpolation in the Marching Square Algorithm
Replies
1
Views
2K
Lagrange and cubic spline interpolate
Replies
4
Views
3K
How Can First-Time Developers Sell Their New Software Product?
Replies
7
Views
2K
C/C++ Lagrange Interpolation: Investigating Interpolation Points with C++/Fortran
Replies
14
Views
31K
I Solve Lagrange Interpolation Problem with Pen Position Detection
Replies
3
Views
2K
MHB Creating Unique Solutions Beyond Existing Standards
Replies
1
Views
2K
Fortran Fortran, interpolating polynomial program doesn't compile
Replies
25
Views
10K
Fortran Interpolating & Integrating Data from File to 2D Array
Replies
10
Views
25K

Hot Threads

Recent Insights

Back
Top