Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Matrix inverse

  1. Jun 29, 2005 #1
    Given that [itex]C[/itex] is a matrix and that [itex]I - C[/itex] is invertible, could someone show me the following?

    [itex]\|(I - C)^{-1}\| \leq \|I\| + \|C\| + \|C\|^2 + \cdots [/itex]
  2. jcsd
  3. Jun 29, 2005 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    That formula looks awfully similar to:

    \frac{1}{1 - x} = 1 + x + x^2 + x^3 + \cdots

    Maybe the method of proof is similar?
  4. Jun 29, 2005 #3
    got it! thank you hurky
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook