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词汇 Matrix pencil
分类 英语词汇 英语翻译词典
释义

Matrix pencil

英语百科

Matrix pencil

In linear algebra, if A_0, A_1,\dots,A_l are n\times n complex matrices for some nonnegative integer l, and A_l \ne 0 (the zero matrix), then the matrix pencil of degree l is the matrix-valued function defined on the complex numbers

A particular case is a linear matrix pencil

with

where A and B are complex (or real) n \times n matrices. We denote it briefly with the notation (A,B).

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