In the second method, each rotation zeros one element in the subdiagonal of the matrix. Therefore, a sequence of plane rotations is required for reduction of a square matrix to triangular form. The ...

Dynamic Scheduling,High-performance Computing,Linear Solver,Matrix Factorization,Matrix Size,Merging Process,Parallel Efficiency,QR Decomposition,Square Matrix,Task Scheduling,Tile Size,Transformation ...

Transformation of the whispering-gallery (WG)-modes in imperfect two-dimensional square and triangular microcavities with various degrees of deformation is studied by means of the Muller boundary ...

In summary, the Householder transformation method for QR decomposition undertakes a sequence of orthogonal transformations on the input matrix, ultimately eliminating targeted elements below the ...

Thus, we obtain the decomposition of the square matrix by the product of the unitary matrix and lower triangular matrix. It should be noted for the comparison that when using the ordinary path, , , ...