On Complex Eigenvalues of M and P Matrices.
On Condition Numbers and the Distance to the Nearest Ill-posed Problem.
On condition numbers of a nondefective multiple eigenvalue.
On conditional independence and log-convexity
If conditional independence constraints define a family of positive distributions that is log-convex then this family turns out to be a Markov model over an undirected graph. This is proved for the distributions on products of finite sets and for the regular Gaussian ones. As a consequence, the assertion known as Brook factorization theorem, Hammersley–Clifford theorem or Gibbs–Markov equivalence is obtained.
On conjugating representations and adjoint representations of semisimple groups.
On (con)similarities and congruences between and , or .
On Continued Fractions and Finite Automata.
On convergence in -inner product spaces.
On convergence of infinite matrix products.
On convexity of polynomial paths and generalized majorizations.
On convexity, the Weyl group and the Iwasawa decomposition
On corepresentations of equipped posets and their differentiation.
On Davis-Kahan-weinberger Extension Theorem
On D-connected sets in the space
On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications
We consider a k-tridiagonal ℓ-Toeplitz matrix as one of generalizations of a tridiagonal Toeplitz matrix. In the present paper, we provide a decomposition of the matrix under a certain condition. By the decomposition, the matrix is easily analyzed since one only needs to analyze the small matrix obtained from the decomposition. Using the decomposition, eigenpairs and arbitrary integer powers of the matrix are easily shown as applications.
On Definiteness Of Certain Matrix Functions Of A Matrix
On determinant preservers over skew fields.
On determining minimal spectrally arbitrary patterns.
On diagonalization by dynamic output feedback
On dimension formulas for representations.