Spectrum of random Toeplitz matrices with band structure.
Spectrum preserving lower triangular completions -- the nonnegative nilpotent case.
Star matrices: properties and conjectures.
Statistically strongly regular matrices and some core theorems.
Structure preserving algorithms for perplectic eigenproblems.
Structured condition numbers and backward errors in scalar product spaces.
Structured conditioning of matrix functions.
Structured Jordan canonical forms for structured matrices that are Hermitian, skew Hermitian or unitary with respect to indefinite inner products.
Structured tools for structured matrices.
Studying the various properties of MIN and MAX matrices - elementary vs. more advanced methods
Let T = {z1, z2, . . . , zn} be a finite multiset of real numbers, where z1 ≤ z2 ≤ · · · ≤ zn. The purpose of this article is to study the different properties of MIN and MAX matrices of the set T with min(zi , zj) and max(zi , zj) as their ij entries, respectively.We are going to do this by interpreting these matrices as so-called meet and join matrices and by applying some known results for meet and join matrices. Once the theorems are found with the aid of advanced methods, we also consider whether...
Subdeterminants and subgraphs
Subdirect sums of doubly diagonally dominant matrices.
Subdirect sums of nonsingular -matrices and of their inverses.
Subdirect sums of -strictly diagonally dominant matrices.
Subdominant eigenvalues for stochastic matrices with given column sums.
Sufficient conditions to be exceptional
A copositive matrix A is said to be exceptional if it is not the sum of a positive semidefinite matrix and a nonnegative matrix. We show that with certain assumptions on A−1, especially on the diagonal entries, we can guarantee that a copositive matrix A is exceptional. We also show that the only 5-by-5 exceptional matrix with a hollow nonnegative inverse is the Horn matrix (up to positive diagonal congruence and permutation similarity).
Sur la transformée de Laplace de considérée comme fonction de la diagonale de
Sur l'orthogonalité de deux lois de probabilités correspondant à deux processus de Markov
Sylvesterovy–Hadamardovy, Kravčukovy a Sylvesterovy–Kacovy matice
Je zcela běžné, že speciální třídy matic jsou pojmenovány podle matematika, který je buď poprvé představil nebo podstatně přispěl k jejich studiu. Článek je věnován třem třídám matic nesoucích ve svých názvech jména čtyř matematiků: Sylvesterovým–Hadamardovým maticím, Kravčukovým maticím a Sylvesterovým–Kacovým maticím. Přestože na první pohled nemají uvedené třídy příliš společného, jsou v textu ukázány jejich vzájemné souvislosti.
Symmetric nonnegative realization of spectra.