A note on the inversion of Sylvester matrices in control systems.
A note on the ranks of set-inclusion matrices.
A note on the spectra of tridiagonal matrices.
A Note on the Structure of the Semigroup of Doubly-Stochastic Matrices
A note on the trace inequality for products of Hermitian matrix power.
A note on ultrametric matrices
It is proved in this paper that special generalized ultrametric and special matrices are, in a sense, extremal matrices in the boundary of the set of generalized ultrametric and matrices, respectively. Moreover, we present a new class of inverse -matrices which generalizes the class of matrices.
A p-adic Perron-Frobenius theorem
We prove that if an n×n matrix defined over ℚ ₚ (or more generally an arbitrary complete, discretely-valued, non-Archimedean field) satisfies a certain congruence property, then it has a strictly maximal eigenvalue in ℚ ₚ, and that iteration of the (normalized) matrix converges to a projection operator onto the corresponding eigenspace. This result may be viewed as a p-adic analogue of the Perron-Frobenius theorem for positive real matrices.
A parallel algorithm for computing the group inverse via Perron complementation.
A polynomial time spectra decomposition test for certain classes of inverse M-matrices.
A practical application of kernel-based fuzzy discriminant analysis
A novel method for feature extraction and recognition called Kernel Fuzzy Discriminant Analysis (KFDA) is proposed in this paper to deal with recognition problems, e.g., for images. The KFDA method is obtained by combining the advantages of fuzzy methods and a kernel trick. Based on the orthogonal-triangular decomposition of a matrix and Singular Value Decomposition (SVD), two different variants, KFDA/QR and KFDA/SVD, of KFDA are obtained. In the proposed method, the membership degree is incorporated...
A Prime Congruence System.
A problem on matrices
A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
A quantitative extension of the Perron-Frobenius theorem for doubly stochastic matrices
A Quaternion QR Algorithm.
A rational canonical form for matrix fields
A recursion formula for the moments of the gaussian orthogonal ensemble
We present an analogue of the Harer–Zagier recursion formula for the moments of the gaussian Orthogonal Ensemble in the form of a five term recurrence equation. The proof is based on simple gaussian integration by parts and differential equations on Laplace transforms. A similar recursion formula holds for the gaussian Symplectic Ensemble. As in the complex case, the result is interpreted as a recursion formula for the number of 1-vertex maps in locally orientable surfaces with a given number of...
A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications.
A remark on confluent Cauchy and confluent Loewner matrices
A representation for non-colliding random walks.