Common multiples of operator polynomials with analytic coefficients.
Common solutions of a pair of matrix equations.
Commutative and noncommutative invariant theory
Commutative weak generalized inverses of a square matrix and some related matrix equations.
Commutative/noncommutative rank of linear matrices and subspaces of matrices of low rank.
Commuting triples of matrices.
Cómo conectar matrices de determinante positivo por el procedimiento de eliminación de Gauss-Jordan.
Compactness conditions for semigroups of linear maps.
Companion matrices and their relations to Toeplitz and Hankel matrices
In this paper we describe some properties of companion matrices and demonstrate some special patterns that arisewhen a Toeplitz or a Hankel matrix is multiplied by a related companion matrix.We present a necessary and sufficient condition, generalizing known results, for a matrix to be the transforming matrix for a similarity between a pair of companion matrices. A special case of our main result shows that a Toeplitz or a Hankel matrix can be extended using associated companion matrices, preserving...
Comparison of congruences and strict equivalences for real, complex, and quaternionic matrix pencils with symmetries.
Comparison theorems for weak nonnegative splittings of -monotone matrices.
Complementary matrices in the inclusion principle for dynamic controllers
A generalized structure of complementary matrices involved in the input-state- output Inclusion Principle for linear time-invariant systems (LTI) including contractibility conditions for static state feedback controllers is well known. In this paper, it is shown how to further extend this structure in a systematic way when considering contractibility of dynamic controllers. Necessary and sufficient conditions for contractibility are proved in terms of both unstructured and block structured complementary...
Complementary triangular forms
The notion of simultaneous reduction of pairs of matrices and linear operators to triangular forms is introduced and a survey of known material on the subject is given. Further, some open problems are pointed out throughout the text. The paper is meant to be accessible to the non-specialist and does not contain any new results or proofs.
Complete solution of tropical vector inequalities using matrix sparsification
We examine the problem of finding all solutions of two-sided vector inequalities given in the tropical algebra setting, where the unknown vector multiplied by known matrices appears on both sides of the inequality. We offer a solution that uses sparse matrices to simplify the problem and to construct a family of solution sets, each defined by a sparse matrix obtained from one of the given matrices by setting some of its entries to zero. All solutions are then combined to present the result in a...
Completely simple semigroups of matrices.
Completing block Hermitian matrices with maximal and minimal ranks and inertias.
Composition of quaternary quadratic forms
Compositions of quadratic forms with quadratic, bilinear or Hermitian forms.
Computation of linear algebraic equations with solvability verification over multi-agent networks
In this paper, we consider the problem of solving a linear algebraic equation in a distributed way by a multi-agent system with a solvability verification requirement. In the problem formulation, each agent knows a few columns of , different from the previous results with assuming that each agent knows a few rows of and . Then, a distributed continuous-time algorithm is proposed for solving the linear algebraic equation from a distributed constrained optimization viewpoint. The algorithm is...
Computation of rigidity of order for one simple matrix
We shall compute the exact value of rigidity of the triangular matrix with entries 0 and 1.