matrix algorithm in a sentence

• Some very large sparse matrices are infeasible to manipulate using standard dense-matrix algorithms.
• The benefit of this strategy is that the implicit solver only requires a Tridiagonal matrix algorithm to be solved.
• It has several advantages over Isomap, including faster optimization when implemented to take advantage of sparse matrix algorithms, and better results with many problems.
• This can be done efficiently if both solutions are computed at once, as the forward portion of the pure tridiagonal matrix algorithm can be shared.
• In this study, the researchers simulated a social network of 900 participants, called nodes, which were connected into a network using a matrix algorithm.
• The advantage of the ADI method is that the equations that have to be solved in each step have a simpler structure and can be solved efficiently with the tridiagonal matrix algorithm.
• Arnoldi iteration is a typical large sparse matrix algorithm : It does not access the elements of the matrix directly, but rather makes the matrix map vectors and makes its conclusions from their images.
• This is also an issue in the Gaussian elimination matrix algorithm ( or any algorithm that can compute the nullspace of a matrix ), which is also necessary for many parts of the Risch algorithm.
• Which is a tridiagonal problem, so that u _ { i } ^ { n + 1 } \, may be efficiently solved by using the tridiagonal matrix algorithm in favor of a much more costly matrix inversion.
• Matrices with reasonably small upper and lower bandwidth are known as band matrices and often lend themselves to simpler algorithms than general sparse matrices; or one can sometimes apply dense matrix algorithms and gain efficiency simply by looping over a reduced number of indices.
• It's difficult to see matrix algorithm in a sentence .
• In many problems, especially linear diffusion, the algebraic problem is tridiagonal and may be efficiently solved with the tridiagonal matrix algorithm, which gives a fast \ mathcal { O } ( n ) direct solution as opposed to the usual \ mathcal { O } ( n ^ 3 ) for a full matrix.