@article{c08ed8b5e0974dbd9fc0b6594968a160, title = "Two-grid methods for banded linear systems from DCT III algebra", abstract = "We describe a two-grid and a multigrid method for linear systems whose coefficient matrices are point or block matrices from the cosine algebra generated by a polynomial. We show that the convergence rate of the two-grid method is constant independent of the size of the given matrix. Numerical examples from differential and integral equations are given to illustrate the convergence of both the two-grid and the multigrid method.", keywords = "Band matrices, DCT-III matrix algebra, Multigrid method, Two-grid method", author = "Chan, {R. H.} and S. Serra-Capizzano and C. Tablino-Possio", year = "2005", month = mar, doi = "10.1002/nla.399", language = "English", volume = "12", pages = "241--249", journal = "Numerical Linear Algebra with Applications", issn = "1070-5325", publisher = "John Wiley & Sons Ltd.", number = "2-3", }