A note on a class of homeomorphisms between Banach spaces
This paper deals with homeomorphisms F: X → Y, between Banach spaces X and Y, which are of the form where is a continuous (2n+1)-linear operator.
A note on a distance bound using eigenvalues of the normalized Laplacian matrix.
A note on Ahlers and Lewis' representation of the best linear unbiased estimator in the general Gauss-Markoff model
A note on classes of structured matrices with elliptical type numerical range
We identify new classes of structured matrices whose numerical range is of the elliptical type, that is, an elliptical disk or the convex hull of elliptical disks.
A note on computing the generalized inverse of a matrix .
A note on consecutive ones in a binary matrix.
A note on estimate of the spectral radius of symmetric matrices
A note on estimates for the spectral radius of a nonnegative matrix.
A note on estimates of diagonal elements of the inverse of diagonally dominant tridiagonal matrices.
A Note on Extreme Positive Definite Matrices.
A note on generalized Perron complements of -matrices.
A note on hypervector spaces
The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence. A few important results like deletion theorem, extension theorem, dimension theorem have been established in this hypervector space.
A note on indecomposability of Boolean matrices
A note on linear approximations of matrices
A note on linear discrepancy.
A note on majorization transforms and Ryser’s algorithm
The notion of a transfer (or T -transform) is central in the theory of majorization. For instance, it lies behind the characterization of majorization in terms of doubly stochastic matrices. We introduce a new type of majorization transfer called L-transforms and prove some of its properties. Moreover, we discuss how L-transforms give a new perspective on Ryser’s algorithm for constructing (0; 1)-matrices with given row and column sums.
A note on minimum rank and maximum nullity of sign patterns.
A note on Newton and Newton-like inequalities for -matrices and for Drazin inverses of -matrices.
A note on nonnegative matrices
A note on preserving the spark of a matrix
Let Mm×n(F) be the vector space of all m×n matrices over a field F. In the case where m ≥ n, char(F) ≠ 2 and F has at least five elements, we give a complete characterization of linear maps Φ: Mm×n(F) → Mm×n(F) such that spark(Φ(A)) = spark(A) for any A ∈Mm×n(F).