gaussian elimination sentence in Hindi
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- The condition number of the Vandermonde matrix may be large, causing large errors when computing the coefficients if the system of equations is solved using Gaussian elimination.
- In this case, we can make use of the Sherman-Morrison formula to avoid the additional operations of Gaussian elimination and still use the Thomas algorithm.
- The fast elliptic solver is based on fast Fourier analysis in both horizontal directions and Gaussian elimination in the vertical direction ( Moussiopoulos and Flassak, 1989 ).
- :: Yeah, according to the article Gaussian elimination can be performed over any field . talk ) 08 : 16, 15 February 2008 ( UTC)
- Some authors use the term Gaussian elimination to refer to the process until it has reached its upper triangular, or ( non-reduced ) row echelon form.
- The notes were widely imitated, which made ( what is now called ) Gaussian elimination a standard lesson in algebra textbooks by the end of the 18th century.
- The development of computers led to increased research in efficient algorithms for Gaussian elimination and matrix decompositions, and linear algebra became an essential tool for modelling and simulations.
- Even for a well conditioned full rank matrix, Gaussian elimination does not behave correctly : it introduces rounding errors that are too large for getting a significant result.
- Unfortunately, applying Gaussian elimination ( or equivalently an LU decomposition ) to such a matrix results in the band being filled in by many non-zero elements.
- Solving such a linear system is not practical due to extremely high time complexity of solving a linear system by the means of Gaussian Elimination or even Strassen algorithm.
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