Implementing sparse matrix techniques in the ERATO code

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The ERATO code computes the stability of an equilibrium with respect to the linear MHD equation. The ERATO code is divided into 5 programs (ERATO1 through ERATO5). This report documents some minor changes made in ERATO3 and a major reorganization of ERATO4. The changes were made to reduce drastically the amount of secondary storage needed by the codes and at the same time improve the efficiency of ERATO4. The ultimate goal is to allow the successful completion of runs with finer meshes than are currently possible. ERATO4 takes given matrices, A and B, and a shift parameter, ..omega../sub 0/, and ... continued below

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Pages: 29

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Scott, D.S. April 1, 1980.

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Description

The ERATO code computes the stability of an equilibrium with respect to the linear MHD equation. The ERATO code is divided into 5 programs (ERATO1 through ERATO5). This report documents some minor changes made in ERATO3 and a major reorganization of ERATO4. The changes were made to reduce drastically the amount of secondary storage needed by the codes and at the same time improve the efficiency of ERATO4. The ultimate goal is to allow the successful completion of runs with finer meshes than are currently possible. ERATO4 takes given matrices, A and B, and a shift parameter, ..omega../sub 0/, and computes the Choleski factorization (U/sup T/DU) of the matrix A - ..omega../sub 0/B. It then uses the factorization to implement inverse iteration to find the eigenvalue of the generalized eigenvalue problem A - lambda B closest to ..omega../sub 0/ and its corresponding eigenvector. The matrices A and B are highly structured and quite sparse. Both are symmetric and B is positive definite. Each block consists of 16 square subblocks. 9 figures. (RWR)

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Pages: 29

Notes

Dep. NTIS, PC A03/MF A01.

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  • Report No.: ORNL/CSD/TM-117
  • Grant Number: W-7405-ENG-26
  • DOI: 10.2172/5404400 | External Link
  • Office of Scientific & Technical Information Report Number: 5404400
  • Archival Resource Key: ark:/67531/metadc1066800

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • April 1, 1980

Added to The UNT Digital Library

  • Feb. 4, 2018, 10:51 a.m.

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  • April 4, 2018, 12:32 p.m.

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Scott, D.S. Implementing sparse matrix techniques in the ERATO code, report, April 1, 1980; United States. (digital.library.unt.edu/ark:/67531/metadc1066800/: accessed October 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.