Completion of a partial integral matrix to a unimodular matrix

DOI10.1016/j.laa.2005.10.013zbMath1090.15013OpenAlexW2147159947MaRDI QIDQ819787

Xingzhi Zhan

Publication date: 29 March 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.013

zbMATH Keywords

Partial matrixintegral matrixunimodular matrix completion problem

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (6)

On the completion of a partial integral matrix to a unimodular matrix ⋮ Counting basis extensions in a lattice ⋮ Natural density of rectangular unimodular integer matrices ⋮ Representing integers by multilinear polynomials ⋮ On the existence of unimodular matrices with a prescribed submatrix ⋮ Natural density of integral matrices that can be extended to invertible integral matrices

Cites Work

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• Existence of matrices with prescribed entries
• Matrices with Prescribed Characteristic Roots and Diagonal Elements
• Existence of matrices with prescribed eigenvalues and entries
• Matrices with Prescribed Entries and Characteristic Polynomial
• Eigenvalues of Matrices with Prescribed Entries
• Matrices with Prescribed Entries and Eigenvalues. I

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