On principal sections of a pair of forms
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- Proc. Amer. Math. Soc. 123 (1995), 2949-2954 Request permission
Abstract:
Let H and C be $n \times n$ Hermitian matrices with C positive definite. Let $H({i_1}, \ldots ,{i_r})$ denote the submatrix of H formed by deleting the rows and columns ${i_1}, \ldots ,{i_r}$, of H. In this paper, with ${r_1} + \cdots + {r_k} \leq n$, we study the roots of the determinantal equation $\det (\lambda C - H) = 0$ and those of \[ \det ((\lambda C - H)({r_1} + \cdots + {r_{i - 1}} + 1, \ldots ,{r_1} + \cdots + {r_i})) = 0\] for $i = 1, \ldots ,k$.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2949-2954
- MSC: Primary 15A42; Secondary 15A18
- DOI: https://doi.org/10.1090/S0002-9939-1995-1283543-9
- MathSciNet review: 1283543