Qualitatively invertible matrices

Our purpose is to describe the properties of the class of n× n matrices such that some or all of the signs of the nonzero elements of the inverse matrix can be determined based only upon the knowledge of the signs of the matrix being inverted. Applications of such matrices can be found in the study...

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Bibliographic Details
Published inMathematical social sciences Vol. 6; no. 3; pp. 397 - 407
Main Authors Lady, George M., Maybee, John S.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.1983
Elsevier
SeriesMathematical Social Sciences
Subjects
inverses
Matrices
qualitative determinacy
sign solvability
Matrices
inverses
qualitative determinacy
sign solvability
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Summary:Our purpose is to describe the properties of the class of n× n matrices such that some or all of the signs of the nonzero elements of the inverse matrix can be determined based only upon the knowledge of the signs of the matrix being inverted. Applications of such matrices can be found in the study of the testibility of economic theory, the stability of economic systems and the general ‘quality’ of solutions to large computer models.
ISSN:0165-4896
1879-3118
DOI:10.1016/0165-4896(83)90069-0