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Udo Schendel. Sparse Matrices: Numerical Aspects with Applications for Scientists and Engineers. Ellis Horwood Limited, 1989.

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A Polynomial Approximation Algorithm for the Minimum Fill-In .. - Assaf Natanzon Ron (1998)   (1 citation)  (Correct)

....in which (i; j) is an edge iff M i;j 6= 0. In 1979 Garey and Johnson [9] posed the complexity of the minimum fill in problem as a major open problem. Yannakakis subsequently proved that the minimum fill in problem is NP complete [22] Due to its importance the problem has been studied intensively [2, 11, 13, 21], and many heuristics have been developed for it [5, 12, 19, 20] None of those gives a performance guarantee with respect to the size of the fill in introduced. Note that in contrast, the minimal fill in problem (finding a a triangulation of G which is minimal with respect to inclusion) is ....

U. SCHENDEL, Sparse matrices: numerical aspects with applications for scientists and engineers, Ellis Horwood, 1989.


Grid Filters for Local Nonlinear Image Restoration - Veldhuizen (1998)   (1 citation)  (Correct)

....systems of equations. CG gets its name from the fact that its consecutive descent directions are conjugate (orthogonal) CG is fast and requires only a small amount of temporary working space. For efficiency, the sparse matrix is converted from hash table storage to compressed row storage (CRS) [42] prior to CG solution. Figure 2.7 gives an outline of the CG solution algorithm. Convergence was determined by checking the change in the parameter vector f every 20 iterations. The algorithm was halted when CHAPTER 2. THEORY AND IMPLEMENTATION 55 max i jf j i Gamma f j Gamma20 i j 10 ....

U. Schendel. Sparse Matrices: Numerical Aspects with Applications for Scientists and Engineers. Halsted Press, Toronto, 1989.


A Polynomial Approximation Algorithm for the Minimum.. - Natanzon, Shamir, Sharan (1998)   (1 citation)  (Correct)

....in which (i; j) is an edge iff M i;j 6= 0. In 1979 Garey and Johnson [9] posed the complexity of the minimum fill in problem as a major open problem. Yannakakis subsequently proved that the minimum fill in problem is NP complete [22] Due to its importance the problem has been studied intensively [2, 11, 12, 21] and many heuristics have been developed for it [5, 13, 19, 20] None of those gives a performance guarantee with respect to the size of the fill in introduced. Note that in contrast, the minimal fill in problem (finding a a triangulation of G which is minimal with respect to inclusion) is ....

U. Schendel. Sparse matrices: numerical aspects with applications for scientists and engineers. Ellis Horwood, 1989.


A Matlab Implementation of the Implicitly Restarted Arnoldi Method .. - Radke (1996)   (5 citations)  (Correct)

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Udo Schendel. Sparse Matrices: Numerical Aspects with Applications for Scientists and Engineers. Ellis Horwood Limited, 1989.

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