A matrix inequality for Möbius functions.
A matrix paraphrase of cyclotomy
A matrix representation of the Bercovici-Pata bijection.
A matrix-polynomial structure in a finite-dimensional vector space.
A method for computing quadratic Brunovsky forms.
A method for the Eigenreduction of real Symmetric Matrices
A method for the inverse numerical range problem.
A Method of Solving the Stability Problem for Complex Matrices.
A Minimaximin Formula and its Application to Doubly Stochastic Matrices
A modified Cayley transform for the discretized Navier-Stokes equations
This paper is concerned with the problem of computing a small number of eigenvalues of large sparse generalized eigenvalue problems. The matrices arise from mixed finite element discretizations of time dependent equations modelling viscous incompressible flow. The eigenvalues of importance are those with smallest real part and are used to determine the linearized stability of steady states, and could be used in a scheme to detect Hopf bifurcations. We introduce a modified Cayley transform of the...
A multiplication theorem for two-variable positive real matrices
A multiplication-division theorem is derived for the positive real functions of two complex variables. The theorem is generalized to encompass the product of positive real functions of two complex variables. The theorem is generalized to encompass the product of positive real matrices whose elements are functions of two complex variables. PRF and PR matrices occur frequantly in the study of electrical multiports and multivariable systems (such as digital filters).
A multishift algorithm for the numerical solution of algebraic Riccati equations.
A necessary and sufficient condition for stability of the convex combination of polynomials
A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem.
A necessary and sufficient eigenvector condition for a connected graph to be bipartite.
A nested multiplicative commutator equation
A new approach to multiple class pattern classification with random matrices.
A new approach to some problems in the theory of non-negative matrices
A new characterization of generalized complementary basic matrices
In this paper, a new characterization of previously studied generalized complementary basic matrices is obtained. It is in terms of ranks and structure ranks of submatrices defined by certain diagonal positions. The results concern both the irreducible and general cases.
A New Characterization of Generalized Complementary Basic Matrices
In this paper, a new characterization of previously studied generalized complementary basic matrices is obtained. It is in terms of ranks and structure ranks of submatrices defined by certain diagonal positions. The results concern both the irreducible and general cases