Gaussian elimination
noun ·Rare ·Advanced level
Definitions
- 1 A method of reducing an augmented matrix to row echelon form. countable, uncountable
"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)."
Example
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)."