Gaussian elimination

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Gaussian elimination

[¦gau̇·sē·ən ə‚lim·ə′nā·shən]
(mathematics)
A method of solving a system of n linear equations in n unknowns, in which there are first n- 1 steps, the m th step of which consists of subtracting a multiple of the m th equation from each of the following ones so as to eliminate one variable, resulting in a triangular set of equations which can be solved by back substitution, computing the n th variable from the n th equation, the (n- 1)st variable from the (n- 1)st equation, and so forth.
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The effect of ambient temperature and condenser row reduction on the system performance also considered.
Effect of condenser row reduction on refrigeration system with vacuum solar collector:
By experiments, if one block only involves a single row whose nonzeros are not more than SHARED_SIZE, the performance that is obtained by the multiple scalar-style reduction in Algorithm 5 is always less than that obtained by a single long row reduction in Algorithm 8.
x do (7) temp_s[i] [left arrow] AA[firstCol + i] * x[JA[firstCol + i]]; (8) done (9) _syncthreads(); (10) warpNums [left arrow] warps_block[bid]; (11) if warpNums < 2 then (12) //Omitted: Perform a scalar-style reduction (13) else //Omitted: Perform a multiple scalar-style reduction (14) end ALGORITHM 8: Single long row reduction.
However, this population differs by the absence of the distinctive light parietal mark, the presence of an extra scale row reduction, more ventrals, fewer subcaudals, and a shorter, wider head.
A final section describes physical visualizations of eigenvectors--for mirror reflections, rotations, row reductions, and circulant matrices--before turning to the issue of their calculation through the characteristic polynomial.
Since the first two blocks are nonsingular, we may perform row reductions to eliminate the nonzero elements in the bottom block-row of the matrix.