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The matrix inversion is performed once at each putative QTL position, and the simultaneous analysis of multiple time points is obtained by matrix multiplication, and so the computations are linear in the number of time points.
1973 Jean A. Musinski, "Determining the Complexity of Matrix Multiplication and Other Bilinear Forms".
We'll also make use of matrix algebra, but only at the level of matrix multiplication and matrix-vector products.
Each iteration involves one matrix multiplication and one linear equation solution of order n.
Fluency with matrix algebra, including the ability to put systems of linear equation in matrix format and solve them using matrix multiplication and the matrix inverse.
The study of advanced algorithms, including graph algorithms, dynamic programming, linear programming, matrix multiplication, and number theory, plus an introduction to the theory of NP-completeness.
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On single and multiple Pezy-SC devices, the sustained performance is measured for the matrix multiplications and a BiCGStab solver.
The implementation combines Fortran with nonthunking CUBLAS (matrix multiplications) and direct CUDA kernels.
However, the need to algebraically solve for the Chebyshev coefficients of the fundamental solution matrix is completely avoided as only matrix multiplications and additions are utilized.
In this case, the recommended Jacobi method with ℓ=2 is just the ScaLAPACK routine with some additional matrix multiplications, and it computes the SVD in one parallel iteration step.
The model is updated using low-rank symmetric updates and other computational requirements of the method include only simple operations such as matrix multiplications and solutions of low-order algebraic linear systems.
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