Abstract
In the early 1970s, computers began to appear that consisted of a number of separate processors operating in parallel or that had hardware instructions for operating on vectors. The latter type of computer we will call a vector computer (or processor) while the former we will call a parallel computer (or processor).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References and Extensions 1.3
Hockney, R., and Jesshope, C. [1981]. Parallel Computers: Architecture, Programming and Algorithms, Adam Hilger, Ltd., Bristol.
Dongarra, J., Gustayson, F., and Karp, A. [1984]. “Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline Machine,” SIAM Rev. 26, 91–112.
Sorensen, D. [1984]. “Buffering for Vector Performance on a Pipelined MIMD Machine,” Parallel Comput. 1, 143–164.
Madsen, N., Rodrigue, G., and Karush, J. [1976]. “Matrix Multiplication by Diagonals on a Vector/Parallel Processor,” Inf. Proc. Lett. 5, 41–45.
McBryan, O., and van de Velde, E. [1985]. “Parallel Algorithms for Elliptic Equations,” Commun. Pure Appl. Math. 38, 769–795.
McBryan, O., and van de Velde, E. [1986a]. “Elliptic Equation Algorithms on Parallel Computers,” Commun. Appl. Numer. Methods 2, 311–316.
McBryan, O., and van de Velde, E. [1986b]. “Hypercube Programs for Computational Fluid Dynamics,” in Heath [1986], pp. 221–243.
McBryan, O., and van de Velde, E. [1987a]. “Hypercube Algorithms and Implementations,” SIAM J. Sci. Stat. Comput. 8, 227–287.
Melhem, R. [1987a]. “Determination of Stripe Structures for Finite Element Matrices,” SIAM J. Numer. Anal. 24, 1419–1433.
Melhem, R..[1987b]. “Parallel Solution of Linear Systems with Striped Sparse Matrices,” Parallel Comput, to appear.
Hayes, L., and Devloo, P. [1986]. “A Vectorized Version of a Sparse Matrix-Vector Multiply,” Int. J. Num. Met. Eng. 23, 1043–1056.
Fox, G., and Furmanski, W. [1987]. “Communication Algorithms for Regular Convolutions and Matrix Problems on the Hupercube,” in Heath [1987], pp. 223–238.
Jalby, W., and Meier, U. [1986]. “Optimizing Matrix Operations on a Parallel Multiprocessor with a Memory Hierarchy,” Center for Supercomputing Research and Development Report No. 555, University of Illinois.
Cheng, K., and Sahni, S. [1987] “VLSI Systems for Band Matrix Multiplication,” Parallel Comput. 4, 239–258.
Reed, D., and Patrick, M. [1984]. “A Model of Asynchronous Iterative Algorithms for Solving Large Sparse Linear Systems,” Proc. 1984 Int. Conf. Parallel Processing, pp. 402–409.
Reed, D., and Patrick, M. [1985a]. “Parallel Iterative Solution of Sparse Linear Systems: Models and Architectures,” Parallel Comput. 2, 45–67.
Reed, D., and Patrick, M. [1985b]. “Iterative Solution of Large Sparse Linear Systems on a Static Data Flow Architecture: Performance Studies,” IEEE Trans. Comput. 34, 874–881.
Dongarra, J., and Hinds, A. [1979]. “Unrolling Loops in FORTRAN,” Software Pract. Exper. 9, 219–229.
Cowell, W., and Thompson, C. [1986]. “Transforming Fortran DO Loops to Improve Performance on Vector Architectures,” ACM Trans. Math. Software 12, 324–353.
Louter-Nool, M. [1987]. “Basic Linear Algebra Subprograms (BLAS) on the CDC CYBER 205,” Parallel Comput. 4, 143–166.
Dongarra, J., and Johnsson, L. [1987]. “Solving Banded Systems on a Parallel Processor,” Parallel Comput. 5, 219–246.
Dave, A., and Duff, I. [1987]. “Sparse Matrix Calculations on the CRAY-2,” Parallel Comput. 5, 55–64.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ortega, J.M. (1988). Introduction. In: Introduction to Parallel and Vector Solution of Linear Systems. Frontiers of Computer Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2112-3_1
Download citation
DOI: https://doi.org/10.1007/978-1-4899-2112-3_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-2114-7
Online ISBN: 978-1-4899-2112-3
eBook Packages: Springer Book Archive