### An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of EquationsAn Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations

Access Restriction
Subscribed

 Author Stone, Harold S. Source ACM Digital Library Content type Text Publisher Association for Computing Machinery (ACM) File Format PDF Copyright Year ©1973 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science Abstract Tridiagonal linear systems of equations can be solved on conventional serial machines in a time proportional to $\textit{N},$ where $\textit{N}$ is the number of equations. The conventional algorithms do not lend themselves directly to parallel computation on computers of the ILLIAC IV class, in the sense that they appear to be inherently serial. An efficient parallel algorithm is presented in which computation time grows as log2 $\textit{N}.$ The algorithm is based on recursive doubling solutions of linear recurrence relations, and can be used to solve recurrence relations of all orders. ISSN 00045411 Age Range 18 to 22 years ♦ above 22 year Educational Use Research Education Level UG and PG Learning Resource Type Article Publisher Date 1973-01-01 Publisher Place New York e-ISSN 1557735X Journal Journal of the ACM (JACM) Volume Number 20 Issue Number 1 Page Count 12 Starting Page 27 Ending Page 38

#### Open content in new tab

Source: ACM Digital Library