We are trying to find out how to find the eigenvalues of the matrix with the MatLab " !, and how to use the inverse power method to do so, or that is, how to find all four.
22.
We programmed a 4 ?4 into MatLab " ! for loops to allow it to give us the array showing the four eigenvalues of the matrix, and now we need a way to carry out the inverse power method to verify the middle two.
23.
The "'Lanczos algorithm "'is a direct algorithm devised by Cornelius Lanczos that is an adaptation of power methods to find the most useful eigenvalues and eigenvectors of an n ^ { th } order linear system with a limited number of operations, m, where m is much smaller than n.
24.
At CTMAA, for all the movements we execute, including those in Tai Chi Chuan ( Taijiquan ) or Tai Chi weapons, Baguazhang ( Bagua Zhang ) or Bagua weapons, Xingyiquan ( Hsing I Chuan ) or Xing Yi weapons, and Wudang ( Wu Dang ) fists and Wudang weapons, are all based on the Pre-Heaven Power Method.