Results 11 to 20 of about 341,424 (240)

Concentration of the Frobenius Norm of Generalized Matrix Inverses [PDF]

SIAM Journal on Matrix Analysis and Applications, 2019
In many applications it is useful to replace the Moore--Penrose pseudoinverse (MPP) by a different generalized inverse with more favorable properties. We may want, for example, to have many zero entries, but without giving up too much of the stability of the MPP.
Dokmanić, Ivan, Gribonval, Rémi
core   +7 more sources

Covariance structure regularization via Frobenius-norm discrepancy [PDF]

Linear Algebra and its Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui , Xiangzhao, Li , Chun, Zhao , Jine, Zeng , Li, Zhang , Defei, Pan, Jianxin   +5 more
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On the Frobenius norm of the inverse of a non-negative matrix [PDF]

Linear Algebra and its Applications
We prove a new lower bound for the Frobenius norm of the inverse of an non-negative matrix. This bound is only a modest improvement over previous results, but is sufficient for fully resolving a conjecture of Harwitz and Sloane, commonly referred to as the S-matrix conjecture, for all dimensions larger than a small constant.
Frankel, Elsa, Urschel, John
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Frobenius-norm-based measures of quantum coherence and asymmetry. [PDF]

Sci Rep, 2016
AbstractWe formulate the Frobenius-norm-based measures for quantum coherence and asymmetry respectively. In contrast to the resource theory of coherence and asymmetry, we construct a natural measure of quantum coherence inspired from optical coherence theory while the group theoretical approach is employed to quantify the asymmetry of quantum states ...
Yao Y, Dong GH, Xiao X, Sun CP.
europepmc   +5 more sources

Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces [PDF]

, 2008
Some inequalities for the norm and numerical radius of two bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
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Bounding the Frobenius norm of a q-deformed commutator

Linear Algebra and its Applications, 2022
For two $n \times n$ complex matrices $A$ and $B$, we define the $q$-deformed commutator as $[ A, B ]_q := A B - q BA$ for a real parameter $q$. In this paper, we investigate a generalization of the Böttcher-Wenzel inequality which gives the sharp upper bound of the (Frobenius) norm of the commutator.
Dariusz Chruściński, Gen Kimura, Hiromichi Ohno, Tanmay Singal   +3 more
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Incorporating minimum Frobenius norm models in direct search [PDF]

Computational Optimization and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ana Luísa Custódio, Humberto Rocha, Luís Nunes Vicente   +2 more
openaire   +4 more sources

Modular frobenius manifolds and their invariant flows [PDF]

, 2010
The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map I which sends a Frobenius manifold to another Frobenius manifold.
I. A. B. Strachan, Morrison, E.K., E. K. Morrison, Strachan, I.   +3 more
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Linear free divisors and Frobenius manifolds [PDF]

, 2009
We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gauß–Manin system associated to these functions, and prove the existence of a primitive and homogenous form.
Mond, David, Mond, D. (David), Gregorio, Ignacio de, Sevenheck, Christian   +3 more
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The Frobenius norm and the commutator

Linear Algebra and its Applications, 2008
It is proved that \( \| XY-YX\| _F \leq \sqrt{2}\| X\| _F \| Y\| _F \) holds for arbitrary complex \(n\)-by-\(n\) matrices \(X\) and \(Y\), where \(\| X\| _F=\sqrt{\text{tr}(X^* X)}\) denotes the Frobenius norm of \(X\). The inequality has been conjectured by the authors in an earlier paper, see \textit{A. Böttcher} and \textit{D.
Böttcher, Albrecht, Wenzel, David
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