Some results on the group inverse for block matrices over skew fields.
Some subpolytopes of the Birkhoff polytope.
Spaces of rank-2 matrices over GF(2).
Sparse recovery with pre-Gaussian random matrices
For an m × N underdetermined system of linear equations with independent pre-Gaussian random coefficients satisfying simple moment conditions, it is proved that the s-sparse solutions of the system can be found by ℓ₁-minimization under the optimal condition m ≥ csln(eN/s). The main ingredient of the proof is a variation of a classical Restricted Isometry Property, where the inner norm becomes the ℓ₁-norm and the outer norm depends on probability distributions.
Spectra of weighted compound graphs of generalized Bethe trees.
Spectral properties of sign symmetric matrices.
Spectral radius preservers of products of monnegative matrices.
Spectral statistics.
Spectrally arbitrary complex sign pattern matrices.
Spectrally arbitrary tree sign patterns of order 4.
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...