An additive inverse characteristic polynomial theorem
Silva, Fernando C. (1990)
Portugaliae mathematica
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Silva, Fernando C. (1990)
Portugaliae mathematica
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Thompson, R.C. (1962)
Portugaliae mathematica
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Wiegmann, N.A. (1959)
Portugaliae mathematica
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Beitia, Maria Asunción, Cain, Bryan E., Zaballa, Ion (1988)
Portugaliae mathematica
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H. S. Thurston (1939)
Compositio Mathematica
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Mohamed Boudellioua (2006)
International Journal of Applied Mathematics and Computer Science
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In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini's type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.
Johnson, Charles R., Merris, Russell, Pierce, Stephen (1985-1986)
Portugaliae mathematica
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Raphael Loewy (2012)
Open Mathematics
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Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.