Results 21 to 30 of about 1,101,519 (253)
Journal of Industrial & Management Optimization, 2022 In this paper, we present a novel regularization with a truncated difference of nuclear norm and Frobenius norm of form \begin{document}$ L_{t,*-\alpha F} $\end{document} with an integer \begin{document}$ t $\end{document} and parameter \begin{document}$
Huiyuan Guo +3 more
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On The Frobenius Condition Number of Positive Definite Matrices
Journal of Inequalities and Applications, 2010 We present some lower bounds for the Frobenius condition number of a positive definite matrix depending on trace, determinant, and Frobenius norm of a positive definite matrix and compare these results with other results. Also, we give a relation for the
Ramazan Türkmen +1 more
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The block LSMR algorithm for solving linear systems with multiple right-hand sides [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 LSMR (Least Squares Minimal Residual) is an iterative method for the solution of the linear system of equations and leastsquares problems. This paper presents a block version of the LSMR algorithm for solving linear systems with multiple right-hand sides.
maryam mojarrab, Faezeh Toutounian
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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 +2 more
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Bilinear Forms on Frobenius Algebras [PDF]
, 2014 We analyze the homothety types of associative bilinear forms that can occur on a Hopf algebra or on a local Frobenius \(k\)-algebra \(R\) with residue field \(k\).
Murray, Will
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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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Low-rank approximation in the Frobenius norm by column and row subset selection [PDF]
SIAM Journal on Matrix Analysis and Applications, 2019 A CUR approximation of a matrix $A$ is a particular type of low-rank approximation $A \approx C U R$, where $C$ and $R$ consist of columns and rows of $A$, respectively.
Alice Cortinovis, Daniel Kressner
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Frobenius-Rieffel norms on finite-dimensional C*-algebras
Operators and Matrices, 2022 In 2014, Rieffel introduced norms on certain unital C*-algebras built from conditional expectations onto unital C*-subalgebras. We begin by showing that these norms generalize the Frobenius norm, and we provide explicit formulas for certain conditional expectations onto unital C*-subalgebras of finite-dimensional C*-algebras.
Aguilar, Konrad +2 more
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LSMR Iterative Method for General Coupled Matrix Equations
Journal of Applied Mathematics, 2015 By extending the idea of LSMR method, we present an iterative method to solve the general coupled matrix equations ∑k=1qAikXkBik=Ci, i=1,2,…,p, (including the generalized (coupled) Lyapunov and Sylvester matrix equations as special cases) over some ...
F. Toutounian +2 more
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Bounds of the logarithmic mean [PDF]
, 2013 We give tight bounds for logarithmic mean. We also give new Frobenius norm inequalities for two positive semidefinite matrices. In addition, we give some matrix inequalities on matrix power mean.Comment: The second assertion in (i) of Proposition 5.2 was
Furuichi, Shigeru, Yanagi, Kenjiro
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