Matrix Inversion Algorithm

A Matrix Inversion Algorithm is a matrix processing algorithm that can be implemented by a matrix inversion system that solves a matrix inversion task.

• See: Gauss–Jordan Elimination, Algorithm, LU Decomposition, Newton's Method, Multiplicative Inverse#Algorithms, Victor Pan, John Reif, Association For Computing Machinery, Aiken Computation Laboratory, Byte Magazine, Matrix Square Root#By Denman.E2.80.93Beavers Iteration, Round-Off Error.

---

---

References

2017

• (Wikipedia, 2017) ⇒ https://en.wikipedia.org/wiki/Invertible_matrix#Methods_of_matrix_inversion Retrieved:2017-9-20.

   2.1 Gaussian elimination
   2.2 Newton's method
   2.3 Cayley–Hamilton method
   2.4 Eigendecomposition
   2.5 Cholesky decomposition
   2.6 Analytic solution
       2.6.1 Inversion of 2 × 2 matrices
       2.6.2 Inversion of 3 × 3 matrices
       2.6.3 Inversion of 4 × 4 matrices
   2.7 Blockwise inversion
   2.8 By Neumann series
   2.9 P-adic approximation.

---

---