I have got a problem in my research. For the following matrix,(adsbygoogle = window.adsbygoogle || []).push({});

a a a a a a b b b b

a a a a a a b b b b

a a a a a a b b b b

a a a a a a b b b b

a a a a a a a a a a

a a a a a a a a a a

b b b b a a a a a a

b b b b a a a a a a

b b b b a a a a a a

b b b b a a a a a a,

does anyone know how to obtain its eigenvalues analytically when the matrix size goes large? Is there any "name" for matrices just like this in mathmatics? I wanna search for some inspiration in mathmatics matrix community, but I even do not know what it is called in mathmatics. Thanks in advance.

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# Eigenvalue of overlapping block matrix

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