The quadratic eigenvalue problem

F Tisseur, K Meerbergen - SIAM review, 2001 - SIAM
We survey the quadratic eigenvalue problem, treating its many applications, its
mathematical properties, and a variety of numerical solution techniques. Emphasis is given …

[KSIĄŻKA][B] Matrix polynomials

I Gohberg, P Lancaster, L Rodman - 2005 - Springer
is hermitian and invertible (note that BL is never positive (or negative) definite except for the
trivial case when l= 1 and Al is positive (or negative) definite). Hence the properties of …

[KSIĄŻKA][B] Handbook of linear algebra

L Hogben - 2006 - books.google.com
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

Structured pseudospectra for polynomial eigenvalue problems, with applications

F Tisseur, NJ Higham - SIAM Journal on Matrix Analysis and Applications, 2001 - SIAM
Pseudospectra associated with the standard and generalized eigenvalue problems have
been widely investigated in recent years. We extend the usual definitions in two respects, by …

C-numerical ranges and C-numerical radii

CK Li - Linear and multilinear algebra, 1994 - Taylor & Francis
<italic>C</italic>-numerical ranges and <italic>C</italic>-numerical radii Page 1 Linear and
Multllrnear Algehm, 1994, Val. 37, pp. 51 -82 Reprints available directly From the publisher …

Nonasymptotic assisted distillation of quantum coherence

B Regula, L Lami, A Streltsov - Physical Review A, 2018 - APS
We characterize the operational task of environment-assisted distillation of quantum
coherence under different sets of free operations when only a finite supply of copies of a …

Inverting quantum decoherence by classical feedback from the environment

F Buscemi, G Chiribella, G Mauro D'Ariano - Physical review letters, 2005 - APS
We show that for qubits and qutrits it is always possible to perfectly recover quantum
coherence by performing a measurement only on the environment, whereas for dimension …

Numerical solution of singular Sylvester equations

EKW Chu, L Hou, DB Szyld, J Zhou - Journal of Computational and Applied …, 2024 - Elsevier
We consider the numerical solution of the large scale singular Sylvester equation of the form
AX− XD⊤= E (or AXB⊤− CXD⊤= E), where the spectra Λ (A) and Λ (D)(or, Λ (A− λ C) and Λ …

On the pseudospectra of matrix polynomials

P Lancaster, P Psarrakos - SIAM journal on matrix analysis and applications, 2005 - SIAM
The pseudospectra of a matrix polynomial P(λ) are sets of complex numbers that are
eigenvalues of matrix polynomials which are near to P(λ); ie, their coefficients are within …

Matrix pencils with coefficients that have positive semidefinite Hermitian parts

C Mehl, V Mehrmann, M Wojtylak - SIAM Journal on Matrix Analysis and …, 2022 - SIAM
We analyze when an arbitrary matrix pencil is strictly equivalent to a dissipative Hamiltonian
pencil and show that this heavily restricts the spectral properties. In order to relax the …