矩阵的后期发展及应用

凯莱把超复数视为矩阵的思想在19世纪末至20世纪初得到发展,积分方程的发展以及近代物理的需要使数学家们开始了对无限矩阵理论、元素属于抽象域的矩阵的研究,随之矩阵方程论、矩阵分解论和广义逆矩阵等矩阵的现代理论逐步发展起来。20世纪以来,矩阵及其现代理论得到进一步发展,在各个领域中都有广泛应用。

Cayley＇s modern thought, which looked hypercomplex as a matrix, began to develop from the late 19th century to the early 20th century. The development of integral equation and the need of modern physics encourage mathematicians to begin the studies on infinite matrix theory, and matrix theory on abstract region. Along with these studies, the modern theory of matrix equations, matrix factorization,generalized inverse matrix, etc gradually developed. Since the 20th century,matrix and its modern theory have gained further development and found their wide application in every field.