Geometric means of structured matrices

DOI10.1007/s10543-013-0450-4zbMath1291.15034OpenAlexW2060379373MaRDI QIDQ2450888

Dario Andrea Bini, Bruno Iannazzo, Ben Jeuris, Raf Vandebril

Publication date: 23 May 2014

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/427972

zbMATH Keywords

algorithmnumerical exampleToeplitz matricesKähler metricstructured matricesKarcher meanmatrix geometric meanmanifold optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Computational aspects of algebraic surfaces (14Q10) Matrix equations and identities (15A24) Means (26E60) Methods of local Riemannian geometry (53B21) Operator means involving linear operators, shorted linear operators, etc. (47A64) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

A monotone geometric mean for a class of Toeplitz matrices, An efficient damped Newton-type algorithm with globalization strategy on Riemannian manifolds, A Majorization-Minimization Algorithm for Computing the Karcher Mean of Positive Definite Matrices, Geometric Optimization in Machine Learning, Geometric means of quasi-Toeplitz matrices, The Derivative of the Matrix Geometric Mean with an Application to the Nonnegative Decomposition of Tensor Grids, A geometric mean for Toeplitz and Toeplitz-block block-Toeplitz matrices, The Kähler Mean of Block-Toeplitz Matrices with Toeplitz Structured Blocks

Uses Software

• Matrix Means Toolbox
• mftoolbox

Cites Work

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