Mathematical Sciences: Copper Mountain Conference on Iterative Methods - April 9-13, 1996

研究人员Manteuffel 9528039和他的同事们组织了一次会议，专门讨论解线性和非线性方程组的迭代方法。具体主题是非对称线性系统、非线性系统的全局收敛算法、最优工作顺序的算法以及在多处理器计算机体系结构上的应用。对现实世界问题的数学描述不可避免地导致了要求解的方程。很多时候，这些方程是非线性的，因为潜在的问题是非线性的。然而，最初的问题往往是线性的，数学方程也是线性的。这样的问题出现在科学和技术的所有领域，在生物学、材料、环境研究和制造业中尤其令人感兴趣。这些领域的进展需要更全面的建模方程的解，或者现有模型的更准确的解。在任何一种情况下，这些需求都会增加方程的大小或增加其非线性。会议讨论了算法方面的进展，以处理更大规模的方程、非线性、求解所需的时间和工作量，以及多处理器计算机的可能使用。

Manteuffel 9528039 The researcher and his colleagues organize a conference devoted to iterative methods for the solution of linear and nonlinear systems of equations. Particular themes are nonsymmetric linear systems, globally convergent algorithms for nonlinear systems, algorithms of optimal order of work, and applications on multiprocessor computer architectures. The mathematical description of real-world problems leads inevitably to equations to solve. Many times the equations are nonlinear ones, arising because the underlying problem is nonlinear. Often, however, the original problem is linear and the mathematical equations are too. Such problems arise in all areas of science and technology, and are of special interest in biology, materials, environmental studies, and manufacturing. Progress in these areas requires solution of more comprehensive modeling equations, or more accurate solution of existing models. In either case, these needs increase the size of the equations or their nonlinearity. The conference addresses advances in algorithms to deal with the bigger size of the equations, nonlinearities, the amount of time and work needed to get a solution, and the possible use of multiprocessor computers.