The *-transpose of a matrix
Wiegmann, N.A. (1959)
Portugaliae mathematica
Similarity:
Displaying similar documents to “On factoring a matric polynomial with scalar coefficients”
The *-transpose of a matrix
The multiplicative matrix commutator equation (A,X)=B
Cain, Bryan E., Zaballa, Ion (1992)
Portugaliae mathematica
Similarity:
An equivalent matrix pencilfor bivariate polynomial matrices
Mohamed Boudellioua (2006)
International Journal of Applied Mathematics and Computer Science
Similarity:
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.
Algorithm of -factorization of rational matrices with zeros and poles on the imaginary axis.
Larin, Vladimir B. (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
On matrix commutators
Thompson, R.C. (1962)
Portugaliae mathematica
Similarity:
Notes on linear combinations of two tripotent, idempotent and involutive matrices that commute.
Özdemir, Halim, Sarduvan, Murat (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Similarity:
Factorizations for q-Pascal matrices of two variables
Thomas Ernst (2015)
Special Matrices
Similarity:
In this second article on q-Pascal matrices, we show how the previous factorizations by the summation matrices and the so-called q-unit matrices extend in a natural way to produce q-analogues of Pascal matrices of two variables by Z. Zhang and M. Liu as follows [...] We also find two different matrix products for [...]
Nonsingularity and -matrices.
Jiří Rohn (1990)
Aplikace matematiky
Similarity:
New proofs of two previously published theorems relating nonsingularity of interval matrices to -matrices are given.
Explicit formulas for the constituent matrices. Application to the matrix functions
R. Ben Taher, M. Rachidi (2015)
Special Matrices
Similarity:
We present a constructive procedure for establishing explicit formulas of the constituents matrices. Our approach is based on the tools and techniques from the theory of generalized Fibonacci sequences. Some connections with other results are supplied. Furthermore,we manage to provide tractable expressions for the matrix functions, and for illustration purposes we establish compact formulas for both the matrix logarithm and the matrix pth root. Some examples are also provided. ...