# matrix algorithms 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*. - It's difficult to find
*matrix algorithms* in a sentence. - 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. - 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.