MathGroup Archive: June 2002 [00288]

[Date Index] [Thread Index] [Author Index]

How to compute a MatrixPower using: A^n = P D^n Inverse[P]

To: mathgroup at smc.vnet.net
Subject: [mg34976] How to compute a MatrixPower using: A^n = P D^n Inverse[P]
From: "J. Guillermo Sanchez" <guillerm at usal.es>
Date: Mon, 17 Jun 2002 03:26:51 -0400 (EDT)
Sender: owner-wri-mathgroup at wolfram.com

I have the matrix

A == {{3,1,0},{1,2,-1},{0,-1,3}}

For educational purpose I would like to evaluate

A^n (* I mean MatrixPower[A,n]*)

using the following matrix property

A^n == P D^n Inverse[P]  (*D mean Diagonal Matrix *)

How can I do with Mathematica? (Methods to obtain P and D)

Thanks

Guillermo Sanchez

Follow-Ups:
- Re: How to compute a MatrixPower using: A^n = P D^n Inverse[P]
  - From: Murray Eisenberg <murraye@attbi.com>
- Re: How to compute a MatrixPower using: A^n = P D^n Inverse[P]
  - From: Adriano Pascoletti <pascolet@dimi.uniud.it>
- Re: How to compute a MatrixPower using: A^n = P D^n Inverse[P]
  - From: Daniel Lichtblau <danl@wolfram.com>

Prev by Date: Mathlink for Excel troubles with XP

Next by Date: Re: Definitions of the functions

Previous by thread: Mathlink for Excel troubles with XP

Next by thread: Re: How to compute a MatrixPower using: A^n = P D^n Inverse[P]