An explicit formula for the inverse of arrowhead and doubly arrow matrices

DOI10.1007/s40819-018-0527-5zbMath1401.65030OpenAlexW2805383901WikidataQ129800703 ScholiaQ129800703MaRDI QIDQ1794667

Fatemeh Panjeh Ali Beik, Davod Khojasteh Salkuyeh

Publication date: 15 October 2018

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

Full work available at URL: https://doi.org/10.1007/s40819-018-0527-5

zbMATH Keywords

blockinverseformulaarrowheaddoubly arrow

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05) Special matrices (15B99)

Related Items (2)

On the balanced truncation error bound and sign parameters from arrowhead realizations ⋮ 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
• The use of a refined error bound when updating eigenvalues of tridiagonals
• Solving symmetric arrowhead and special tridiagonal linear systems by fast approximate inverse preconditioning
• An efficient method for computing the inverse of arrowhead matrices
• Extremal inverse eigenvalue problem for bordered diagonal matrices
• Two inverse eigenvalue problems for a special kind of matrices
• Extremal inverse eigenvalue problem for symmetric doubly arrow matrices
• Two inverse eigenproblems for symmetric doubly arrow matrices
• An approximate inverse matrix technique for arrowhead matrices
• On Fourier-Toeplitz Methods for Separable Elliptic Problems

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