Abstract
In this paper we present a class of convergent infinite products (Formula presented.) of (Formula presented.) hollow matrices of the form (Formula presented.) These sequences of hollow matrices are obtained from the Ando-Li-Mathias matrix geometric mean of (Formula presented.) positive definite matrices. We further provide a three dimensional analytic manifold and an analytic self-map realizing such sequences.
| Original language | English |
|---|---|
| Pages (from-to) | 552-568 |
| Number of pages | 17 |
| Journal | Linear and Multilinear Algebra |
| Volume | 71 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2023 |
Keywords
- Ando-Li-Mathias geometric mean
- infinite product of matrices
- Positive definite matrix
- primitive hollow matrix
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