New homotopic/factorization and symmetrization techniques for Newton's and Newton/structured iteration

DOI10.1016/j.camwa.2007.01.039zbMath1155.65342OpenAlexW2029864733MaRDI QIDQ1005809

Pan, Victor Y.

Publication date: 10 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.01.039

zbMATH Keywords

Toeplitz matricesmatrix inversionNewton's iterationhomotopic (continuation) processes

Mathematics Subject Classification ID

Numerical linear algebra (65F99) Nonlinear algebraic or transcendental equations (65H99)

Related Items

Chebyshev-type methods and preconditioning techniques

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Iterative inversion of structured matrices
• Inversion formulas and linear complexity algorithm for diagonal plus semiseparable matrices
• Parallel solution of Toeplitzlike linear systems
• A fast, preconditioned conjugate gradient Toeplitz solver
• Complexity of multiplication with vectors for structured matrices
• Structured matrices and Newton's iteration: unified approach
• Newton-like iteration based on a cubic polynomial for structured matrices
• A fast, preconditioned conjugate gradient Toeplitz and Toeplitz-like solvers
• An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications
• On Computations with Dense Structured Matrices
• A note on the representation and definition of semiseparable matrices
• Fast Parallel Algorithms for QR and Triangular Factorization
• Decreasing the Displacement Rank of a Matrix
• Inversion of Displacement Operators
• Displacement Structure: Theory and Applications
• Homotopic residual correction processes
• A bibliography on semiseparable matrices