Direct methods for sparse matrices
Direct methods for sparse matrices
Matrix computations (3rd ed.)
Numerical Recipes: FORTRAN
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
Recursive approach in sparse matrix LU factorization
Scientific Programming
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The modes of a waveguide structure can be accurately determined using finite difference imaginary distance beam propagation method. In implicit type formulation of the problem, a matrix equation has to be solved. The matrix is sparse and large. The sparsity of the matrix can be used to form a condensed matrix of much lower dimension leaving aside the zero element blocks; this condensed matrix takes much smaller storage space and consequently saves a great deal of run-time. The algorithm for the solution of the matrix equation from such a condensed matrix is developed here. This method is comparable with other sparse matrix methods in terms of CPU usage.