(adsbygoogle = window.adsbygoogle || []).push({}); Matrix "Green's function"

Hi.

If you have a differential equation [itex]\mathcal L y=f[/itex] where [itex]\mathcal L[/itex] is some linear differential operator, then you can find a particular solution using the Green's function technique. It is then said that the Green's function is kind of the inverse to [itex]\mathcal L[/itex], even though [itex]\mathcal L[/itex] might not really have an inverse. Is it possible to do something similar for matrices? I.e. if we have a matrix equation [itex]\mathbf Ax=b[/itex], is there some matrix that can give me a particular solution [itex]x=\mathbf Gb[/itex] even though [itex]\mathbf A[/itex] might not be invertible ?

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

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

# Matrix Green's function

Loading...

Similar Threads - Matrix Green's function | Date |
---|---|

I Green's theorem and Line Integrals | Jul 21, 2016 |

I Jacobian matrix generalization in coordinate transformation | Jun 24, 2016 |

I Determinant of a 4x4 matrix | Apr 2, 2016 |

I Just to be sure about the Jacobian matrix and determinant... | Mar 22, 2016 |

Solving Exponential of a Matrix | Oct 29, 2015 |

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