matrix-vector in a sentence
- At the same time , we test the validity of class components of application component layer , and prove they can implement the matrix - vector parallel
- Since the main cost per iteration of the gmres method is the cost of the matrix - vector multiplication , the fast matrix - vector multiplication is the key of the algorithm
- It reduces greatly the computational complexity of matrix - vector multiplication in conjugate gradient iteration improves the efficiency of mlfma while the reasonable accuracy is maintained
- And the basic two - dimensional transient state equations for semiconductor device are dispersed and linearized . the matrix - vector form of the basic functions is get . and the solution methods are also discussed
- To further speed up the solution of scattering from three dimensional electrically large object by multilevel fast multipole algorithm ( mlfma ) , a local multilevel fast multipole algorithm ( lmlfma ) based on local interactions is proposed to evaluate matrix - vector multiplication
- It's difficult to find matrix-vector in a sentence.
- Instead , there needs to store only the original coefficient matrix , some auxiliary matrices for the preconditioner and several vectors in the iteration methods . further , the core of the iteration is the matrix - vector multiplication and the solution of the auxiliary equations corresponding to the preconditioner . if the solution of the auxiliaries spend not very much , the computational cost in each iteration step will be very cheap , due to the fact that the sparsity of the matrix can be exploited sufficiently
- To obtain the fast matrix - vector multiplication algorithm , we approximate the kernel function with piece - wise polynomial and get the approximate coefficient matrix a using the approximate kernel function . let n be the number of quadrature points and k2 be the number of interpolating knots at each subdomain . it is proved that the construction of a and the matrix - vector multiplication ax require o ( nk ) operations respectively
- Application component layer envelops the parallel algorithms of matrix - vector operation to offer users high - level interfaces ; the other three layers implement data abstraction 、 data partition and parallel mechanism respectively , and every layer has specific class and interface definition