THE LU FACTORIZATIONS AND DETERMINANTS OF THE K-TRIDIAGONAL MATRICES

DOI10.1142/S1793557111000162zbMath1234.15004WikidataQ114071691 ScholiaQ114071691MaRDI QIDQ3084676

Aynur Yalçiner

Publication date: 25 March 2011

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

LU factorizationdeterminant\(K\)-tridiagonal matrix

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of determinants (65F40) Direct numerical methods for linear systems and matrix inversion (65F05) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns ⋮ A block diagonalization based algorithm for the determinants of block \(k\)-tridiagonal matrices ⋮ A note on a fast breakdown-free algorithm for computing the determinants and the permanents of \(k\)-tridiagonal matrices ⋮ Fast block diagonalization of \(k\)-tridiagonal matrices ⋮ Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion ⋮ An analytical approach: explicit inverses of periodic tridiagonal matrices ⋮ Symbolic algorithms for the inverses of general \(k\)-tridiagonal matrices ⋮ INVERSES AND EIGENPAIRS OF TRIDIAGONAL TOEPLITZ MATRIX WITH OPPOSITE-BORDERED ROWS ⋮ A new recursive algorithm for inverting general \(k\)-tridiagonal matrices ⋮ A novel algorithm for inverting a general \(k\)-tridiagonal matrix

Uses Software

• NAPACK

Cites Work

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• Advanced determinant calculus: a complement
• A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
• Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems