Results 11 to 20 of about 130 (125)
ON A POWER OF THE COMPANION MATRIX
: In this study, we have given some results which have computed power of the companion matrix and the algorithms which are based on these results. So we also have given numerical examples using these algorithms.
Kemal AYDIN
doaj +1 more source
Purpose. Preparation of short scientifically-historical essay about the distinguished designer of domestic |space-rocket technique and one of basic creators of missiles for a Soviet rocket-nuclear «shield» Mikhail Kuzmich Yangel. Methodology.
M. I. Baranov
doaj +2 more sources
A trace bound for integer-diagonal positive semidefinite matrices
We prove that an n-by-n complex positive semidefinite matrix of rank r whose graph is connected, whose diagonal entries are integers, and whose non-zero off-diagonal entries have modulus at least one, has trace at least n + r − 1.
Mitchell Lon
doaj +1 more source
Determinant of binary circulant matrices
This article gives a closed-form expression for the determinant of binary circulant matrices.
Hariprasad M.
doaj +1 more source
Jacobi matrices and boundary value problems in distance-regular graphs [PDF]
In this work we analyze regular boundary value problems on a distance-regular graph associated with SchrÄodinger operators. These problems include the cases in which the boundary has two or one vertices.
Gago Álvarez, Silvia +3 more
core +2 more sources
An extension of Leverrier-Faddeev algorithm using a basis of classical orthogonal polynomials [PDF]
20 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C45, 15A15.MR#: MR2122756 (2005i:42040)Zbl#: Zbl 1088.42015In this paper, the Leverrier-Faddeev algorithm is extended in order to compute both the determinant a(s) and the adjoint B(s) of ...
Hernández, Javier +1 more
core +2 more sources
A counterexample to the Drury permanent conjecture
We offer a counterexample to a conjecture concerning the permanent of positive semidefinite matrices. The counterexample is a 4 × 4 complex correlation matrix.
Hutchinson George
doaj +1 more source
Derivative and higher-order Cauchy integral formula of matrix functions
The derivative of a nn-order matrix function on the complex field is usually defined as a n2{n}^{2}-order matrix, which is not suitable for generalizing Cauchy integral formula of matrix functions to its higher-order derivative form. In this paper, a new
Huang Xiaojie, Liu Zhixiu, Wu Chun
doaj +1 more source
An Algorithm for the Matrix Lambert $W$ Function [PDF]
. An algorithm is proposed for computing primary matrix Lambert W functions of a square matrix A, which are solutions of the matrix equation WeW = A. The algorithm employs the Schur decomposition and blocks the triangular form in such a way that Newton’s
Higham, Nicholas J. +6 more
core +1 more source
Two types of hypergeometric degenerate Cauchy numbers
In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
doaj +1 more source

