Rank and decomposition of infinitematrix over a division ring are discussed. Two rank-finite matrices are same-inverse equivalent if and only if their rank equal is proved.
讨论除环上无限方阵的秩及分解问题。证明了除环上秩有限的二无限方阵同逆等价的充要条件是它们的秩相等。
2
Some basic necessary and sufficient conditions for the existence of various inverses of a row-column-finite infinitematrix a over a field K are proved by compactness arguments.
用紧致性论证给出了任一域k上行列有限的无限方阵a具有各种逆方阵的基本的充分必要条件。
3
As an auxiliary problem, the special case of a single fiber embedded into an infinitematrix is considered firstly, and the time dependent stress in the composite at any time is given.