The traditional methods are to solve the linear algebra equations directly, based on matrix factorization such as lu decomposition . with this kind of methods, the " true " solution can be derived if there is no consideration of the round error 解線性代數(shù)方程組的傳統(tǒng)方法是利用lu分解等直接求解,雖然傳統(tǒng)方法具有理論上直接得到真解的優(yōu)點,但當系數(shù)矩陣條件數(shù)很大時,存在嚴重的穩(wěn)定性問題。
The high-performance solution of sparse linear algebra equations is very important in solving many problems from science and engineering applications, including computational fluid, simulation and design of materials, data processing in oil exploitation and earthquake prediction, numerical forecast of weather, and numerical simulation of nuclear blast 稀疏線性代數(shù)方程組的高效求解是許多科學與工程計算的核心,如計算流體力學、材料模擬與設(shè)計、石油地震數(shù)據(jù)處理、數(shù)值天氣預報從核爆數(shù)值模擬等都離不開稀疏線性代數(shù)方程組的求解。