Ponte Academic Journal May 2016, Volume 72, Issue 5 |
LU decompostion of inverse Vandermonde matrix Author(s): maryam zeynali ,- J. Ponte - May 2016 - Volume 72 - Issue 5 doi: 10.21506/j.ponte.2016.5.29 Abstract: This paper studies LU decomposition of inverse Vandermonde matrix. This decomposition is stable for inverses of most diagonal matrices. We firstly find a formula to decompose the transpose of this matrix by symmetrical functions and triangular decomposition. Then we propose a formula for inverse Vandermonde matrix, which is applied in many convergence analysis methods such as minimization, e.g. conjugated gradient method or minimum residual methods.
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