The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices
Keyword(s):
AbstractThe theory of Schur complement plays an important role in many fields, such as matrix theory and control theory. In this paper, applying the properties of Schur complement, some new estimates of diagonally dominant degree on the Schur complement of I(II)-block strictly diagonally dominant matrices and I(II)-block strictly doubly diagonally dominant matrices are obtained, which improve some relative results in Liu [Linear Algebra Appl. 435(2011) 3085-3100]. As an application, we present several new eigenvalue inclusion regions for the Schur complement of matrices. Finally, we give a numerical example to illustrate the advantages of our derived results.
2011 ◽
Vol 148-149
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pp. 1523-1526
2019 ◽
Vol 29
(2)
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pp. 407-419
2012 ◽
Vol 437
(1)
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pp. 168-183
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2011 ◽
Vol 435
(12)
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pp. 3085-3100
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Keyword(s):
2017 ◽
Vol 2017
(1)
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