Concentration of the spectral measure of large Wishart matrices with dependent entries.
Concerning row operations on systems of linear equations with integral coefficients.
Condition numbers of Hessenberg companion matrices
The Fiedler matrices are a large class of companion matrices that include the well-known Frobenius companion matrix. The Fiedler matrices are part of a larger class of companion matrices that can be characterized by a Hessenberg form. We demonstrate that the Hessenberg form of the Fiedler companion matrices provides a straight-forward way to compare the condition numbers of these matrices. We also show that there are other companion matrices which can provide a much smaller condition number than...
Conditioning properties of the stationary distribution for a Markov chain.
Conditions for a totally positive completion in the case of a symmetrically placed cycle.
Conjugacy and factorization results on matrix groups
In this survey paper, we present (mainly without proof) a number of results on conjugacy and factorization in general linear groups over fields and commutative rings. We also present the additive analogue in matrix rings of some of these results. The first section deals with the question of expressing elements in the commutator subgroup of the general linear group over a field as (simple) commutators. In Section 2, the same kind of problem is discussed for the general linear group over a commutative...
Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C
L. Huang [Consimilarity of quaternion matrices and complex matrices, Linear Algebra Appl. 331 (2001) 21–30] gave a canonical form of a quaternion matrix with respect to consimilarity transformations A ↦ ˜S−1AS in which S is a nonsingular quaternion matrix and h = a + bi + cj + dk ↦ ˜h := a − bi + cj − dk (a, b, c, d ∈ ℝ). We give an analogous canonical form of a quaternion matrix with respect to consimilarity transformations A ↦^S−1AS in which h ↦ ^h is an arbitrary involutive automorphism of the...
Constructing copositive matrices from interior matrices.
Constructing matrix geometric means.
Constructions of trace zero symmetric stochastic matrices for the inverse eigenvalue problem.
Continued fractions and transformations of integer sequences.
Controllability, Bezoutian and relative primeness.
Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations.
Counting determinants of Fibonacci-Hessenberg matrices using LU factorizations.
Counting Matrices with Coordinates in Finite Fields and of Fixed Rank.
Criteria of unitary equivalence of Hermitian operators with a degenerate spectrum.
Cyclic products and an inequality for determinants
Cylinder matrices