strang s analysis applies to so-called banded matrices. most of the numbers in a banded matrix are zeroes; the only exceptions fall along diagonal bands, at or near the central diagonal of the matrix.
but the fact that a matrix is banded doesn t mean that its inverse is. in fact, strang says, the inverse of a banded matrix is almost always full, meaning that almost all of its entries are nonzero.
since most of the entries in a banded matrix maybe 99 percent, strang says are zero, multiplying it by another matrix is a very efficient procedure: you can ignore all the zero entries.
由于带状矩阵中几乎所有的,也许百分之九十九的,项都是0。用别的矩阵去乘它就成了一个非常高效的过程。
the four kinds of method for symmetrization of the nonsymmetric and no. banded matrix equations of the mixed element and the associated approximate methods for analysis of some fluid-solid coupled d…