On Wed, Mar 2, 2011 at 8:07 PM, Matwey V. Kornilov
A triangular matrix has zero elements below the diagonal (upper triangular) or above the diagonal (lower triangular). This way a nonsingular triangular matrix can be inverted in straightforward manner. LU decomposition allows to produce two triangular matrices which product is your source matrix. A matrix inversion can be implemented by means of these succeeding operations.
Even the matrix is triangular, you still don't invert it, you use forward and backward substitution to solve the linear system. I am sorry to be a pain, but I think this thread needs to be concise about the use of inverse.
Ryan wrote:
Matwey V. Kornilov wrote:
`solve' does matrix inversion for triangular matrices. LU decomposition is also present in lu.hpp
What is the difference between a triangular matrix and the plain matrix?
Ryan
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