Results 111 to 120 of about 581 (209)

Extension of the Total Least Square Problem Using General Unitarily Invariant Norms

open access: yes, 2004
Let m, n, p be positive integers such that m ≥ n + p. Suppose (A, B) ∈ C m×n × C m×p, and let P(A, B) = {(E, F) ∈ C m×n × C m×p: there is X ∈ C n×p such that (A − E)X = B − F}. The total least square problem concerns the determination of the existence
Chi-kwong Li, Xue-feng Wang, Xin-guo Liu
core  

Norm inequalities for cartesian decompositions

open access: yes, 1999
Let the Cartesian decomposition of a complexn × n matrixT beT = A + iB withA, B Hermitian. Letαj andβj be the eigenvalues ofA andB respectively ordered so that|α1|⩾ … ⩾ |αn|and|β1|⩾ … ⩾ |βn|.
Zhan, Xingzhi, Zhan, XZ, Xingzhi Zhan
core   +1 more source

Norm inequalities for weighted power means of operators

open access: yes, 2002
Some norm inequalities for weighted power means of Hilbert space operators are proved for the general class of unitarily invariant norms. These inequalities generalize a recent inequality of Jocić.
Omar Hirzallah   +3 more
core   +1 more source

Approche variationnelle de la fonction rang : relaxation convexe, sous-différentiation généralisée, régularisation-approximation de Moreau

open access: yes, 2013
Dans ce mémoire de these, nous étudions la fonction rang du point de vue variationnel. La raison pour laquelle nous nous intéressons à cette fonction est qu'elle apparaît comme une fonction objectif (ou comme fonction contrainte) dans divers problèmes d ...
Le, Hai Yen
core  

Norm inequalities for positive semidefinite matrices and a question of Bourin

open access: yes, 2017
Let [Formula: see text] such that [Formula: see text] and [Formula: see text] are positive semidefinite. It is shown that [Formula: see text] for [Formula: see text] and for every unitarily invariant norm. This gives an affirmative answer to one of the
Saja Hayajneh   +2 more
core   +1 more source

Schauder bases and norm ideals of compact operators

open access: yes, 1973
This paper studies the relationship between unitarily invariant crossnorms on the tensor product of Hilbert spaces and the corresponding symmetric sequence spaces.
J. R. Holub
core   +1 more source

Maps between the positive definite cones of operator algebras preserving a norm of a geodesic correspondence

open access: yes, 2018
We prove that any bijective map between the positive definite cones of von Neumann algebras which preserves a certain unitarily invariant norm of a particular weighted geometric mean of elements is essentially (up to two-sided multiplication by an ...
Lajos Molnár, Molnár Lajos
core   +1 more source

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