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 $(A,B)$ .

单词	Matrix pencil
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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