An additive inverse characteristic polynomial theorem
Silva, Fernando C. (1990)
Portugaliae mathematica
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Displaying similar documents to “The multiplicative matrix commutator equation (A,X)=B”
An additive inverse characteristic polynomial theorem
On matrix commutators
Thompson, R.C. (1962)
Portugaliae mathematica
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The *-transpose of a matrix
Wiegmann, N.A. (1959)
Portugaliae mathematica
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A nested multiplicative commutator equation
Beitia, Maria Asunción, Cain, Bryan E., Zaballa, Ion (1988)
Portugaliae mathematica
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On factoring a matric polynomial with scalar coefficients
H. S. Thurston (1939)
Compositio Mathematica
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An equivalent matrix pencilfor bivariate polynomial matrices
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.
Inequalities involving immanants and diagonal products for H-matrices and positive definite matrices
Johnson, Charles R., Merris, Russell, Pierce, Stephen (1985-1986)
Portugaliae mathematica
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On a nonnegative irreducible matrix that is similar to a positive matrix
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.