A note on the trace inequality for products of Hermitian matrix power.
A Note on two Indices of Semigroup Elements
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 novel interpretation of least squares solution.
A Numerical Procedure for Computing the Moore-Penrose Inverse.
A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
It is shown that if A is a bounded linear operator on a complex Hilbert space, then , where w(A) and ||A|| are the numerical radius and the usual operator norm of A, respectively. An application of this inequality is given to obtain a new estimate for the numerical radius of the Frobenius companion matrix. Bounds for the zeros of polynomials are also given.
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 parameterized lower bound for the smallest singular value.
A pencil approach to high gain feedback and generalized state space systems
A pointwise approximation of isolated trees in a random graph.
A polynomial time spectra decomposition test for certain classes of inverse M-matrices.
A posteriori error estimates for linear equations.
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 product integral representation of the generalized inverse
A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
A propos de l’algorithme
À propos de l'inversion des matrices généralisées de Jacobi.