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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2011 Volume 90, Issue 4, Pages 599–612 (Mi mzm7826)

This article is cited in 2 papers

On the Interdependence between Invariant Multipliers of a Block-Triangular Matrix and Its Diagonal Blocks

V. P. Shchedrik

Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine, L'vov

Abstract: The interdependence between the invariant multipliers of a block-triangular matrix and its diagonal blocks is established under some constraints on its canonical diagonal form.

Keywords: invariant multipliers of a block-triangular matrix, GCD of the minors of a matrix, the group $GL_t(R)$, principal ideal, ring, canonical diagonal form of a matrix.

UDC: 512.64

Received: 02.04.2009

DOI: 10.4213/mzm7826


 English version:
Mathematical Notes, 2011, 90:4, 584–596

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© Steklov Math. Inst. of RAS, 2024