Sulla determinazione della inversa delle matrici tridiagonali e tridiagonali a blicchi

DOI10.1007/BF02575602zbMath0214.14702MaRDI QIDQ2545266

M. Capovani

Publication date: 1971

Published in: Calcolo (Search for Journal in Brave)

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (12)

Some structural properties of inverse matrices ⋮ Complexity bounds for solving some tridiagonal systems with preconditioning ⋮ Block diagonal dominance of matrices revisited: bounds for the norms of inverses and eigenvalue inclusion sets ⋮ Solution of band matrix equations by projection-recurrence ⋮ Accurate and fast computations with positive extended Schoenmakers-Coffey matrices ⋮ On some parallel algorithms for inverting tridiagonal and pentadiagonal matrices ⋮ Bounds for the condition number of a class of tridiagonal and block tridiagonal matrices ⋮ Tridiagonal matrices: Invertibility and conditioning ⋮ The conditioning of FD matrix sequences coming from semi-elliptic differential equations ⋮ Structural and computational properties of possibly singular semiseparable matrices ⋮ Eigenvalue-eigenvector structure of Schoenmakers-Coffey matrices via Toeplitz technology and applications ⋮ On some properties of a tridiagonal and penta-diagonal matrix

Cites Work

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• Direct solution of partial difference equations by tensor product methods
• The Evaluation of Matrix Inversion Programs
• Tensor product analysis of partial difference equations
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• An algorithm for solving a special class of tridiagonal systems of linear equations
• Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems
• A Class of Hessenberg Matrices with Known Eigenvalues and Inverses
• Toeplitz Matrix Inversion: The Algorithm of W. F. Trench
• The Direct Solution of the Discrete Poisson Equation on a Rectangle
• A Class of Triple-Diagonal Matrices for Test Purposes
• A Comparison of Several Methods for Inverting Large Symmetric Positive Definite Matrices

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