Least-squares solutions of the matrix equations \(A X B + C Y D = H\) and \(A X B + C X D = H\) for symmetric arrowhead matrices and associated approximation problems

DOI10.1155/2014/709356zbMath1442.65069OpenAlexW1521365713WikidataQ59051950 ScholiaQ59051950MaRDI QIDQ2336657

Yongxin Yuan

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/709356

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical methods for matrix equations (65F45)

Related Items

Inversion and pseudoinversion of block arrowhead matrices

Cites Work

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• Least squares solutions of the matrix equation \(AXB+CYD=E\) with the least norm for symmetric arrowhead matrices
• Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices
• Inertia characteristics of self-adjoint matrix polynomials
• Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry.
• Extremal inverse eigenvalue problem for bordered diagonal matrices
• Two inverse eigenvalue problems for a special kind of matrices
• The eigenvalue problem for ‘‘arrow’’ matrices
• Some inverse eigenproblems for Jacobi and arrow matrices

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