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Results tagged with linear-solver
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user 761
Referring to methods for solving linear systems of equations.
5
votes
Accepted
Fast explicit solution for $\mathbf{A}\mathbf{x} = \mathbf{b}$, $ \mathbf{b} \in \mathbf{R}^...
FLOPS count based on the suggestions above:
LU, no pivoting:
Mul = 11, Div/Recip = 6, Add/Sub = 11, Total = 28; or
Mul = 16, Div/Recip = 3, Add/Sub = 11, Total = 30
Gaussian Elimination with back …
- 802
9
votes
4
answers
414
views
Fast explicit solution for $\mathbf{A}\mathbf{x} = \mathbf{b}$, $ \mathbf{b} \in \mathbf{R}^...
I am looking for a fast (dare I say optimal?) explicit solution the 3x3 linear real problem, $\mathbf{A}\mathbf{x} = \mathbf{b}$, $\mathbf{A} \in \mathbf{R}^{3 \times 3}, \mathbf{b} \in \mathbf{R}^{3} …
- 802
3
votes
1
answer
126
views
Efficient solution to a structured symmetric linear system with condition number estimation
I have a real-valued linear system $Hx = b$ where $H$ is symmetric matrix** (not necessarily positive/negative definite) with a very particular structure:
$$
H = \begin{bmatrix} D && B \\ B^T && A\end …
- 802