[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] | ||

Mathematics-Online course: Linear Algebra - Normal Forms - Jordan Normal Form | ||

## Powers of Matrices |

[previous page] [next page] | [table of contents][page overview] |

The matrix powers , , converge to the zero matrix if and only if the absolute value of each eigenvalue is smaller than .

The sequence is bounded if and algebraic and geometric multiplicity are equal for eigenvalues of modulus .

If there exists an eigenvalue of modulus greater than , then the sequence diverges.

(Authors: Burkhardt/Höllig/Hörner)

(temporary unavailable)

automatically generated 4/21/2005 |