Inverse Power Method

Рет қаралды 19,622

Күн бұрын

Explains the inverse power method and solves an example on it.
To understand the Algorithm better, watch this video on the Power Method by using this link
• The Power Method in Nu...

Пікірлер: 19

@ReindolfBoadu 3 жыл бұрын

To understand the Algorithm used in this video better, please watch this video on the Power Method by using this link kzfaq.info/get/bejne/g8WcnZmUqLuYiWg.html

@Kinghercules 3 жыл бұрын

Finally! A brotha doing some math on YT! Thanks man!

@ReindolfBoadu 3 жыл бұрын

My pleasure

@philomenaantwi4892 3 жыл бұрын

Great explanation and simplified examples. Thank you

@ReindolfBoadu 3 жыл бұрын

You're welcome

@divinefire7531 3 жыл бұрын

Easy to understand

@ReindolfBoadu 3 жыл бұрын

Good to hear

@outtaspace9704 Жыл бұрын

You rock my world!😭

@oluwoleolalekansolomon7480 2 жыл бұрын

For each iteration, isn't the eigenvalue used in dividing the 2x1 column matrix supposed to be the largest of the two values? why did you divide it with 1.625 instead of 6.875?

@kwameboadu8955 3 жыл бұрын

Great video Thanks

@ReindolfBoadu 3 жыл бұрын

You're welcome

@yaknuelgh Жыл бұрын

Why is it that after your first iteration, you used (3.5,0.5) as your xo and not (7,1)?

@aktionmhan2925 Жыл бұрын

Can this approach solve 3x3 matrix?

@Recordingization 2 жыл бұрын

why don't you choose the max magnitude from vector as eigenvalue?

@fibomaths 4 жыл бұрын

hello, i have a question. When does the algorithm stop? please answer it. thank you so much.

@ReindolfBoadu 4 жыл бұрын

Please do you mean when does the Algorithm fail?

@ReindolfBoadu 4 жыл бұрын

If yes then, the inverse power method Algorithm will fail if the given matrix is non-singular, not a square matrix(since we can only find eigenvalues and eigenvectors of square matrices)

@ReindolfBoadu 4 жыл бұрын

Also note that the Algorithm doesn't converge for any given matrix.

@ReindolfBoadu 4 жыл бұрын

And with the stopping criteria, it will always be specified in the question either by stating the number of iterations you should do or by giving you an approximation error which is acceptable. Thank you