---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/MatricesLinearAlgebra/Matrices/bibliography.html"
source: "https://docs.magma-maths.org/MatricesLinearAlgebra/Matrices/bibliography.md"
part: "Matrices and Linear Algebra"
chapter: "Matrices"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Matrices and Linear Algebra", "source": "../index-matrices-linear-algebra.md"}
  - {"title": "Matrices", "source": "index-matrices.md"}
prev: {"title": "Miscellaneous Operations on Matrices", "source": "misc.md"}
next: {"title": "Sparse Matrices", "source": "../SparseMatrices/index-sparse-matrices.md"}
---

# Bibliography

<a id="cite-abm-det"></a>
- **[ABM99]** John Abbott, Manuel Bronstein, and Thom Mulders. Fast Deterministic Computation of Determinants of Dense Matrices. In Sam Dooley, editor, *Proceedings ISSAC'99*, 197–204. New York, 1999. ACM Press.
<a id="cite-clg-order"></a>
- **[CLG97b]** Frank Celler and Charles R. Leedham-Green. Calculating the Order of an Invertible Matrix. In Larry Finkelstein and William M. Kantor, editors, *Groups and Computation II*, volume 28 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 55–60. AMS, 1997.
<a id="cite-choucollins"></a>
- **[CC82]** T.W.J. Chou and G.E. Collins. Algorithms for the solution of systems of linear Diophantine equations. *SIAM J. Computing*, 11(4):687–708, 1982.
<a id="cite-hhr-smith"></a>
- **[HHR93]** George Havas, Derek F. Holt, and Sarah Rees. Recognizing badly presented Z-modules. *Linear Algebra and its Applications*, 192:137–164, 1993.
<a id="cite-kannanbachem"></a>
- **[KB79]** R. Kannan and A. Bachem. Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix. *SIAM J. Computing*, 9:499–507, 1979.
<a id="cite-luebeck-smithform"></a>
- **[Lub02]** F. Lübeck. On the computation of elementary divisors of integer matrices. *J. Symbolic Comp.*, 33:57–65, 2002.
<a id="cite-steel-canonical"></a>
- **[Ste97]** Allan Steel. A New Algorithm for the Computation of Canonical Forms of Matrices over Fields. *J. Symbolic Comp.*, 24(3):409–432, 1997.