Positive definiteness of tridiagonal matrices via the numerical range.
Positive eigenvalues and two-letter generalized words.
Positive entries of stable matrices.
Positive factors of Wythoff matrices.
Positive Matrix Functions on the Bitorus with Prescribed Fourier Coefficients in a Band.
Positive splittings of matrices and their nonnegative Moore-Penrose inverses
In this short note we study necessary and sufficient conditions for the nonnegativity of the Moore-Penrose inverse of a real matrix in terms of certain spectral property shared by all positive splittings of the given matrix.
Positivity and stability of fractional descriptor time-varying discrete-time linear systems
The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor timevarying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.
Positivity in Complex Spaces and Its Application to Gershgorin Discs.
Positivity of operator-matrices of Hua-type.
Positivity with Respect to the Round Cone
Possible isolation number of a matrix over nonnegative integers
Let be the semiring of all nonnegative integers and an matrix over . The rank of is the smallest such that can be factored as an matrix times a matrix. The isolation number of is the maximum number of nonzero entries in such that no two are in any row or any column, and no two are in a submatrix of all nonzero entries. We have that the isolation number of is a lower bound of the rank of . For with isolation number , we investigate the possible values of the rank of ...
Power bounded and exponentially bounded matrices
The paper gives a new characterization of eigenprojections, which is then used to obtain a spectral decomposition for the power bounded and exponentially bounded matrices. The applications include series and integral representations of the Drazin inverse, and investigation of the asymptotic behaviour of the solutions of singular and singularly perturbed differential equations. An example is given of localized travelling waves for a system of conservation laws.
Power of a determinant with two physical applications.
Prediction for Two Processes and the Nehari Problem.
Preservers of the rank of matrices over a field.
Preserving zeros of Lie product on alternate matrices
We study continuous maps on alternate matrices over complex field which preserve zeros of Lie product.
Primary decomposition of torsion -modules.
Primideale im graduierten Wittring und im mod 2 Cohomologiering.
Principal eigenvectors of irregular graphs.
Principal values and principal subspaces of two subspaces of vector spaces with inner product.