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Convergent matrix : ウィキペディア英語版 | Convergent matrix In the mathematical discipline of numerical linear algebra, when successive powers of a matrix T become small (that is, when all of the entries of T approach zero, upon raising T to successive powers), the matrix T is called a convergent matrix. A regular splitting of a non-singular matrix A results in a convergent matrix T. A semi-convergent splitting of a matrix A results in a semi-convergent matrix T. A general iterative method converges for every initial vector if T is convergent, and under certain conditions if T is semi-convergent. ==Definition== We call an ''n'' × ''n'' matrix T a convergent matrix if : for each ''i'' = 1, 2, ..., ''n'' and ''j'' = 1, 2, ..., ''n''.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Convergent matrix」の詳細全文を読む
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