# C program to find eigenvalues and eigenvectors of a matrix

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&#x20;※ [**C program to find eigenvalues and eigenvectors of a matrix - Link**](http://exfindfiles.ru/d/C+program+to+find+eigenvalues+and+eigenvectors+of+a+matrix) \
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Balance option, specified as: 'balance', which enables a preliminary balancing step, or 'nobalance' which disables it. Hermitian Tridiagonal all eigenvalues O n 2 Divides the matrix into submatrices that are diagonalized then recombined. The eigenspaces of T always form a.\
&#x20;![C program to find eigenvalues and eigenvectors of a matrix](https://www.codewithc.com/wp-content/uploads/2014/03/guass-jordan.png)\\

The example pictured at right provides a simple illustration. Perhaps I'm missing something here, but why resort to re-implementing this when you have it already done for you by a built-in function?\
&#x20;![C program to find eigenvalues and eigenvectors of a matrix](https://i.stack.imgur.com/nxk4K.png)\\

**Documentation** - Eigenvectors Once the exact value of an eigenvalue is known, the corresponding eigenvectors can be found by finding non-zero solutions of the eigenvalue equation, that becomes a with known coefficients.\
&#x20;![C program to find eigenvalues and eigenvectors of a matrix](https://i.stack.imgur.com/47wNZ.png)\\

Dear nimacasino, Certainly there is no standard function to do that in C++. You said that your matrix is in a two dimensional array - how is that an n by n matrix? This is explained in rather technical terms here: You have to and some sort of approximation theory to find eigenvalues. For example, you do not have convergence using that method for the matrix 1 2 0 -1 1 0 which has eigenvalues i and -i. Also, the method only tells you how to find the largest eigenvalue. To find the remaining eigenvalues if they existyou will need to transform your matrix to a smaller one using the found eigenvalue and the original matrix and repeat the algorithm. I cannot tell you exactly how off the top of my head needs some more thought. In other words, if you eigenvalue a function to find eigenvalues of an n by n matrix, you will need to do a lot of mathematical work besides programming. Dear tition I impressed by your complete answer, i really appreciate it. Unfortunately, I do not know of any library not saying there isn't, I am just the type of person who likes to program anything himself. Did you try posting on other forums? The find is really simple to implement, and is also very eigenvector to prove that, if it converges, the answer you get is correct. What I would do if I were you is 1 try posting at another forum. Do you need to have the program for one particular example, for a fixed set of examples, or to create a program that runs for an arbitrary user input example? The whole implementation would take some time between 30 minutes if you are skillful with C++ and have good math libraries and 3-4 days, if you have to write everything from scratch including the linear algebra. I would gladly try to help with point 2if I can. I tried to decode that from the Markov chain page on Wikipedia, but I couldn't figure it out - you need to ask a specialist on the subject. I forgot to subscribe on this topic.
