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Generalized Schur complements and P-complementable operators
(Elsevier Science Inc, 2004-12)
Let A be a selfadjoint operator and P be an orthogonal projection both operating on a Hilbert space H. We say that A is P-complementable if A−µP≥ 0 holds for some µ ∈ R. In this case we define IP (A) = max{µ ∈ R : A − µP ...
Local extrema for Procrustes problems in the set of positive definite matrices
(Elsevier Science Inc, 2020-05)
Given two positive definite matrices A and B, a well known result by Gelfand, Naimark and Lidskii establishes a relationship between the eigenvalues of A and B and those of AB by means of majorization inequalities. In this ...
Local Lidskii's theorems for unitarily invariant norms
(Elsevier Science Inc, 2018-11)
Lidskii's additive inequalities (both for eigenvalues and singular values) can be interpreted as an explicit description of global minimizers of functions that are built on unitarily invariant norms, with domains consisting ...
Shorting selfadjoint operators in Hilbert spaces
(Elsevier Science Inc, 2008-04)
Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a min-max representation of the shorted operator (or Schur complement) of B to S is obtained under compatibility hypotheses. ...
Characterizations of k-commutative equalities for some outer generalized inverses
(Taylor & Francis Ltd, 2018-07)
In this paper, we present necessary and sufficient conditions for the k-commutative equality $A^k X = X A^k$, where $X$ is an outer generalized inverse of the square matrix A. Also, we give new representations for core EP, ...
On Rosenhein-Göpel configurations and integrable systems
(SP MAIK Nauka/Interperiodica, 2011)
Com Um Brilhozinho nos Olhos: Três experiências promotoras de ensino do pensamento crítico na área da Matemática
(Edições Universitárias Lusófonas, 2019)
Relationship Between Instructional Design and Academic Performance in Face to Face and Blended Course of Mathematics: A Multivariate AnalysisRelación entre diseño instruccional y rendimiento académico en un curso presencial y bimodal de Matemática: Un estudio cuasiexperimental
(Universidad de Costa Rica, 2018)