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Cited by 11Matrix Theory and AlgorithmsRings, Modules, and AlgebrasAdvanced Combinatorial Mathematics

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Solution theory for complete bilinear systems of equations

Johnson, Charles R., Link, Joshua A.·2009·Numerical Linear Algebra with Applications
DOI 10.1002/nla.676
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Abstract

For A1,…, Am∈Mp, q(F) and g∈Fm, any system of equations of the form yTAix=gi, i=1,…, m, with y varying over Fp and x over Fq is called bilinear. Given here are some general observations about bilinear systems, a complete solution theory for complete systems (m=pq, A1,…, Am linearly independent) and implications of the complete theory for general (incomplete, m<pq) systems. Copyright © 2009 John Wiley & Sons, Ltd.

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Research works printed but not linked: 3

  1. 10.1016/j.dam.2007.08.040 · DOI
  2. 10.1016/S0024-3795(00)00071-9 · DOI
  3. Horn R, 1990, Topics in Matrix Analysis

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Metadata

Authors
Johnson, C. R., & Link, J. A.
Affiliations
  • William & Mary (US)
  • Indiana University Bloomington (US)
Corresponding author
Link, Joshua A.
ORCID
Johnson, Charles R.
Venue
Numerical Linear Algebra with Applications
Publisher
Wiley
Published
2009-10-23
Volume
16
Issue
11-12
Pages
929-934
ISSN
  • 1070-5325 (ISSN-L)
  • 1099-1506
DOI
10.1002/nla.676
OpenAlex
W2152515394
Cited by
11
References
0
Citations by year
2023: 2 · 2021: 3 · 2015: 1 · 2014: 1 · 2013: 2 · 2012: 1
FWCI
0.65
Type
journal article
Language
en
Open access
closed
Licence
onlinelibrary.wiley.com/termsAndConditions#vor (vor)
Locations
Numerical Linear Algebra with Applications (publishedVersion)
Topics
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Matrix Theory and Algorithms
  • Physical Sciences › Mathematics › Algebra and Number Theory › Rings, Modules, and Algebras
  • Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Advanced Combinatorial Mathematics
Keywords
bilinear systems, solution theory, finite fields, matrix equations

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CoChat. (2026). Citation check: Solution theory for complete bilinear systems of equations. https://app.cochat.ai/papers/10.1002/nla.676
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Johnson, C. R., & Link, J. A. (2009). Solution theory for complete bilinear systems of equations. Numerical Linear Algebra with Applications. https://doi.org/10.1002/nla.676