%0 Journal Article %1 citeulike:10745617 %A Paige, C. C. %A Saunders, M. A. %D 1975 %J SIAM Journal on Numerical Analysis %K 65f50-sparse-matrices 65f10-iterative-methods-for-linear-systems %N 4 %P 617--629 %R 10.1137/0712047 %T Solution of Sparse Indefinite Systems of Linear Equations %U http://dx.doi.org/10.1137/0712047 %V 12 %X The method of conjugate gradients for solving systems of linear equations with a symmetric positive definite matrix A is given as a logical development of the Lanczos algorithm for tridiagonalizing A. This approach suggests numerical algorithms for solving such systems when A is symmetric but indefinite. These methods have advantages when A is large and sparse.

@article{citeulike:10745617, abstract = {{The method of conjugate gradients for solving systems of linear equations with a symmetric positive definite matrix A is given as a logical development of the Lanczos algorithm for tridiagonalizing A. This approach suggests numerical algorithms for solving such systems when A is symmetric but indefinite. These methods have advantages when A is large and sparse.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Paige, C. C. and Saunders, M. A.}, biburl = {https://www.bibsonomy.org/bibtex/22cabb7d42e8ceeb60a2d49ddf50df452/gdmcbain}, citeulike-article-id = {10745617}, citeulike-attachment-1 = {paige_75_solution_1055058.pdf; /pdf/user/gdmcbain/article/10745617/1055058/paige_75_solution_1055058.pdf; 4d84b697c175b653463d304cab1a5bd15ad7ef65}, citeulike-linkout-0 = {http://dx.doi.org/10.1137/0712047}, doi = {10.1137/0712047}, file = {paige_75_solution_1055058.pdf}, interhash = {a1c20e935c96f4f3833fc00ac53fad43}, intrahash = {2cabb7d42e8ceeb60a2d49ddf50df452}, issn = {0036-1429}, journal = {SIAM Journal on Numerical Analysis}, keywords = {65f50-sparse-matrices 65f10-iterative-methods-for-linear-systems}, month = sep, number = 4, pages = {617--629}, posted-at = {2016-02-23 01:52:12}, priority = {3}, timestamp = {2019-02-28T23:43:44.000+0100}, title = {{Solution of Sparse Indefinite Systems of Linear Equations}}, url = {http://dx.doi.org/10.1137/0712047}, volume = 12, year = 1975 }