Artikel in der Kategorie Matrices
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![A nonlinear matrix equation](https://writelatex.s3.amazonaws.com/published_ver/863.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240727T001530Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240727/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=0c3d5af9e0b67ab762b305c318e0a99483931881a0883880cdad16fe9474705b)
A nonlinear matrix equation
A explicit solution to a nonlinear matrix equation in n=3 dimension.
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![Iteration of Matrices and the Fibonacci Sequence](https://writelatex.s3.amazonaws.com/published_ver/205.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240727T001530Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240727/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=ef9f1c50445cee5275cba789a15c3db27851ab9e4178bdc9559bb49d7ded913a)
Iteration of Matrices and the Fibonacci Sequence
We examine repeated iteration of various matrices from a graphical view, plotting each iterate vector for numerous randomly chosen initial values.
Then we examine a specific matrix and how why it generates the Fibonacci sequence.
Tyler Murphy