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五矩阵和多道时间序列无论在物理学还是在社会科学中,做计算机模型的一个必要条件是通晓各种矩阵,由于这是各种水平的很多卓越教科书的题材,这里只略加评述。我们将集中阐述以后各章中所需要的那些特性。我们将避开求证,而且虽然给出的结构应当适用于大多数情况,但仍存在一些例外的矩阵(我们将其看作病态情况)不在我们的结构之中。在实际工作中,使用者须经常检查计算结果。遗憾的是,实际上出现这种病态情况远比预想到的要多。出现矩阵难题时,科学家的第一个想法是使用更高精度的算法。根据作者的经验,有物理意义的计算很少要求高精度。当似乎需要高精度时,经常是因为物理上发生了某
Five-Matrices and Multi-Time Sequences A necessary condition for computer modeling in both physics and social sciences is the availability of a variety of matrices. Since this is the subject of many excellent textbooks of various levels, we will only comment a little bit here. We will focus on those features that are needed in subsequent chapters. We will bypass proof and, although the structure given should apply in most cases, there are some exceptions to the matrix that we see as ill-conditioned in our structure. In practical work, the user should check the calculation frequently. Unfortunately, in fact, this morbid condition occurs far more than expected. When a matrix problem arises, the first idea of a scientist is to use a more accurate algorithm. According to the author’s experience, physical calculation rarely requires high accuracy. When it seems that high precision is needed, it is often because something is happening physically