Calculating a Matrix EigenvalueDate: 7/16/96 at 4:19:6 From: Shuichi Suga Subject: Calculating Eigenvalue Dear Dr. Math, I have a question about the way to calculate the eigenvalue quickly with a computer. In this case, each matrix element can be a complex value. Please tell me the best way to calculate the complex matrix eignevalue with the fastest speed. Thank you beforehand. Sincerely yours, Shuichi Suga Date: 7/16/96 at 10:53:23 From: Doctor Anthony Subject: Re: Calculating Eigenvalue The eigenvalues will be the solutions of the characteristic equation: det|A-kI| = 0 They will be real or complex depending on the roots of that equation. If your computer can solve the polynomial, (with complex coefficients) giving both real and complex roots, then you have the method you are asking for. -Doctor Anthony, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
Search the Dr. Math Library: |
[Privacy Policy] [Terms of Use]
Ask Dr. Math^{TM}
© 1994-2015 The Math Forum
http://mathforum.org/dr.math/