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The quadratic eigenvalue problem
We survey the quadratic eigenvalue problem, treating its many applications, its
mathematical properties, and a variety of numerical solution techniques. Emphasis is given …
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 …
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 …
concepts, applications, and computational software packages in an easy-to-use handbook …
Structured pseudospectra for polynomial eigenvalue problems, with applications
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 …
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 …
Multllrnear Algehm, 1994, Val. 37, pp. 51 -82 Reprints available directly From the publisher …
Nonasymptotic assisted distillation of quantum coherence
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 …
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
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 …
coherence by performing a measurement only on the environment, whereas for dimension …
Numerical solution of singular Sylvester equations
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 …
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 …
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
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 …
pencil and show that this heavily restricts the spectral properties. In order to relax the …