Gaussian elimination

plural Gaussian eliminations

1. countableuncountablelinear algebraA method of reducing an augmented matrix to row echelon form.

   Theoretical partitioning and resource allocation for the Gaussian elimination method used to solve the matrix are discussed.

   1989, Richard A. Blech, “Parallel Gaussian Elimination of a Block Tridiagonal Matrix Using Multiple Microcomputers”, in Technical Report, NASA, page 1

   2 more examples

   1976, Thomas E. Rosmond, Frank D. Faulkner, Direct Solution of Elliptic Equations by Block Cyclic Reduction and Factorization, Monthly Weather Review, Volume 104, Issues 1-6, American Meteorological Society, page 644, We then repeat the Gaussian elimination procedure for the ( boldsymbol E-α₂⁽²⁾) factor in (35), obtaining another intermediate solution vector. It is immediately apparent in this example that four Gaussian eliminations are necessary to obtain ψ_(i,4).

   The use of Gaussian eliminations limits the range of functionality of the algorithm, which operates only with square matrices A.

   1996, E. D'Hollander, G. R. Joubert, F. J. Peters, D. Trystram, Parallel Computing: State-of-the-art and Perspectives, Elsevier, page 642