… In this paper, we focus on the block-symmetric pencils in the families of Fiedler-like
pencils … as block-symmetric generalized Fiedler pencils (block-symmetric GFP) and block-symmetric …

… In this paper we focus on the block-symmetric pencils in the families of Fiedler-like
pencils … as block-symmetric generalized Fiedler pencils (block-symmetric GFP) and block-symmetric …

… More precisely, we present four families of block-symmetric pencils which, under some …
bases pencils and strong linearizations of a matrix polynomial. We show that the block-symmetric …

… than the famous block symmetric linearizations in the space \(… ) are the only block symmetric
linearizations whose condition … | \ge 1\), then the first pencil in the standard basis of \(\mathbb …

… In particular, we provide explicit and very elementary formulas … -like linearizations (namely,
the Fiedler-like families [3… family [26] also contains many pencils of this form. Moreover, all the …

… grade 1, L(λ) = λX + Y , without requiring explicitly that X = 0. … , although do not respect the
block structures of L(λ) and D2(λ, … each block-symmetric GFPR, in particular, with each pencil in …

… }(P)\) of block-symmetric pencils to solve the symmetric/Hermitian … We introduce two
block-symmetric linearizations for even … provides explicit formulas for the eigenvectors of the pencil …

… The results of this collaboration were published in the article Explicit Block-Structures for
Block-Symmetric Fiedler-like Pencils in the Electronic Journal of Linear Algebra in 2018. In the …