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Solution theory for complete bilinear systems of equations
Author(s) -
Johnson Charles R.,
Link Joshua A.
Publication year - 2009
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.676
Subject(s) - bilinear interpolation , mathematics , general theory , bilinear form , pure mathematics , mathematical physics , discrete mathematics , mathematical economics , statistics
For A 1 ,…, A m ∈ M p, q ( F ) and g ∈ F m , any system of equations of the form y T A i x = g i , i =1,…, m , with y varying over F p and x over F q is called bilinear. Given here are some general observations about bilinear systems, a complete solution theory for complete systems ( m = pq , A 1 ,…, A m linearly independent) and implications of the complete theory for general (incomplete, m < pq ) systems. Copyright © 2009 John Wiley & Sons, Ltd.