By Zahari Zlatev (auth.)
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Additional resources for Computational Methods for General Sparse Matrices
1 to a dynamic storage scheme that can be used to carry out efficiently the calculations needed in the GE process. After a call of this subroutine the elements that are in an arbitrary order in array AORIG are stored by rows in array ALU. This means that the following structure is prepared in array ALU by subroutine ORDER: first the elements of the first row of matrix A are stored, then the elements of the second row of matrix A are stored, and so on. Moreover, the non-zero elements of matrix A are stored in the first NZ locations of array ALU.
The performance of garbage collections in the two ordered lists will now be discussed in detail. Assume that a garbage collection in the row ordered list has to be carried out. This action is performed in two steps. In the first step some information to be used in the second step is prepared. The second step is the actual compression of the structure. During the first step of the garbage collection the positions where the first non-zero elements of the rows are located in array ALU are marked by setting HA(i,l)=CNLU(HA(i,l)) and CNLU(HA(i,l))=-i for i=l,2, ...
The contents of the dynamic storage scheme before the beginning of the GE are shown in Fig. 4 (for the column ordered list). 2); N=5, NZ=ll. 0 4 1 2 2 3 5 3 4 4 5 CNLU 1 Row No. 3 The row ordered list before the beginning of the Gaussian elimination. Position 1 2 3 4 5 6 7 8 9 10 11 RNLU 1 2 2 3 3 4 1 4 5 3 5 Col. 3 Col. 4 Col. 5 12 13 14 15 Free space Col. 1 Col. 2 HA(*,4) 1 3 5 7 10 positions of the column starts in RNLU HA(*,5) 1 3 5 7 10 positions of the separators in RNLU HA(*,6) 2 4 6 9 11 positions of the column ends in RNLU Column No.