On the Maximum Eigenvalue of a Reducible Non-Negative Real Matrix.
On the maximum positive semi-definite nullity and the cycle matroid of graphs.
On the maximum row and column sum norm of GCD and related matrices.
On the Maximum Value of a Class of Determinants
On the minimum rank of not necessarily symmetric matrices: a preliminary study.
On the minimum vector rank of multigraphs.
On the Monotonity of Incomplete Factorization.
On the necessary and sufficient condition for a set of matrices to commute and some further linked results.
On the Nonflatness of Analytic Tensor Product.
On the Nonnegativity of XX* and its Relevance in Econometrics.
On the non-quadraticity of values of the q-exponential function and related q-series
On the optimality and sharpness of Laguerre's lower bound on the smallest eigenvalue of a symmetric positive definite matrix
Lower bounds on the smallest eigenvalue of a symmetric positive definite matrix play an important role in condition number estimation and in iterative methods for singular value computation. In particular, the bounds based on and have attracted attention recently, because they can be computed in operations when is tridiagonal. In this paper, we focus on these bounds and investigate their properties in detail. First, we consider the problem of finding the optimal bound that can be computed...
On the orbit of the centralizer of a matrix
Let A be a complex n × n matrix. Let A' be its commutant in Mₙ(ℂ), and C(A) be its centralizer in GL(n,ℂ). Consider the standard C(A)-action on ℂⁿ. We describe the C(A)-orbits via invariant subspaces of A'. For example, we count the number of C(A)-orbits as well as that of invariant subspaces of A'.
On the order of linear dependence of real functions
On the ordered sets in -dimensional real inner product spaces.
On the parametric solution to the second-order Sylvester matrix equation .
On the partial ordering of almost definite matrices
On the partitioned matrix and its associated system
On the periodic quotient singular value decomposition.
On the permanents of certain circulant matrices and related Toeplitz matrices. (Über die Permanente gewisser zirkulanter Matrizen und damit zusammenhängender Toeplitz-Matrizen.)