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A NOTE ON PARTIAL SIGN-SOLVABILITY
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 Title & Authors
A NOTE ON PARTIAL SIGN-SOLVABILITY
Hwang, Suk-Geun; Park, Jin-Woo;
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 Abstract
In this paper we prove that if AX=b is a partial sign-solvable linear system with A being sign non-singular matrix and if , then is a sign-solvable linear system, where denotes the submatrix of A occupying rows and columns in o and xo and be are subvectors of x and b whose components lie in . For a sign non-singular matrix A, let be the fully indecomposable components of A and let denote the set of row numbers of . We also show that if is a partial sign-solvable linear system, then, for , if one of the components of xor is a fixed zero solution of Ax=b, then so are all the components of .
 Keywords
sign-solvable linear system;partial sign-solvable linear system;
 Language
English
 Cited by
 References
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