The so-called ℓ 0 pseudonorm, or cardinality function, counts the number of nonzero
components of a vector. In this paper, we analyze the ℓ 0 pseudonorm by means of so-called …

The so-called l0 pseudonorm on the Euclidean space Rd counts the number of nonzero
components of a vector. We say that a sequence of norms is strictly increasingly graded …

We propose a unified view of the polarity of functions, that encompasses all specific
definitions, generalizes several well-known properties and provides new results. We show …

The so-called ℓ0 pseudonorm on Rd counts the number of nonzero components of a vector.
It is used in sparse optimization, either as criterion or in the constraints, to obtain solutions …

In the paper the properties of‖·‖-approximate solutions of real overdetermined linear
systemsAx= bare investigated. We characterize the norms for which the approximate …

Let p be a norm on Kn, where K= R or K= C. If Sϵ Kn, n is a nonsingular matrix, let ps be the
norm on Kn, defined by pS (x)= p (Sx) for all xϵ Kn. This note gives some conditions on S for …

Some notes on orthant-monotonic norms<xref ref-type='fn' rid='FN0001'> ^∗ </xre
Page 1 Linear and Multilinear Algebra, 1992, Vol. pp. 167-175 Reprints available directly from …

We complete the results of an earlier paper by Sodupe, where interlacing properties for
generalized singular values of matrices and submatrices are studied. We show that there is …

The support of a vector in R d is the set of indices with nonzero entries. Functions of the
support have the property to be 0-homogeneous and, because of that, the Fenchel …

Monotonicity and orthant-monotonicity of certain maximum norms Page 1 Linear Algebra and its
Applications 367 (2003) 29–36 www.elsevier.com/locate/laa Monotonicity and ∗ …