Hi everyone,(adsbygoogle = window.adsbygoogle || []).push({});

consider two following partitioned matrices:

[tex]\begin{array}{l}

{M_1} = \left[ {\begin{array}{*{20}{c}}

{ - \frac{1}{2}{X_1}} & {{X_2}} \\

{{X_3}} & { - \frac{1}{2}{X_4}} \\

\end{array}} \right] \\

{M_2} = \left[ {\begin{array}{*{20}{c}}

{\begin{array}{*{20}{c}}

{{X_1}} & { - I} \\

I & 0 \\

\end{array}} & {\begin{array}{*{20}{c}}

0 & 0 \\

0 & 0 \\

\end{array}} \\

{\begin{array}{*{20}{c}}

0 & 0 \\

0 & 0 \\

\end{array}} & {\begin{array}{*{20}{c}}

{{X_4}} & { - I} \\

I & 0 \\

\end{array}} \\

\end{array}} \right] \\

\end{array}[/tex]

I want to show that spectral radius (maximum absolute value of eigenvalues) of M1 and M2 are equal, but I don't know how!!!!!!!!!

this is general form of my problem the real one is somewhat easier (or maybe more complex)!!!

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help me on finding spectral radius!

Loading...

Similar Threads for Help finding spectral | Date |
---|---|

Help finding a topic in Number Theory | Jan 14, 2015 |

Call for help in finding approximate inverse matrix | Dec 1, 2013 |

A proposed proof for Legendre's Conjecture - please help me find the flaw - thanks | May 8, 2011 |

Finding symmetries both geometrically and analytically. PLEASE HELP | Apr 1, 2011 |

HELP Find all abelian groups (up to isomorphism) | Nov 24, 2009 |

**Physics Forums - The Fusion of Science and Community**