NUMERICAL COMPUTATION OF THE CHARACTERISTIC VALUES OF A REAL SYMMETRIC MATRIX

doi:10.2172/4412175

Title: NUMERICAL COMPUTATION OF THE CHARACTERISTIC VALUES OF A REAL SYMMETRIC MATRIX

Full Record
Other Related Research

Authors:: Givens, W.

Publication Date:: 1954-03-01

Research Org.:: Oak Ridge National Lab.

OSTI Identifier:: 4412175

Report Number(s):: ORNL-1574

NSA Number:: NSA-08-002936

DOE Contract Number:: W-7405-ENG-26

Resource Type:: Technical Report

Resource Relation:: Other Information: Orig. Receipt Date: 31-DEC-54

Country of Publication:: United States

Language:: English

Subject:: PHYSICS; EIGENVALUES; MATHEMATICS; MATRICES; NUMERICALS

Citation Formats


                    Givens, W. NUMERICAL COMPUTATION OF THE CHARACTERISTIC VALUES OF A REAL SYMMETRIC MATRIX.  United States: N. p., 1954. 
        Web.  doi:10.2172/4412175.

Copy to clipboard


                    Givens, W. NUMERICAL COMPUTATION OF THE CHARACTERISTIC VALUES OF A REAL SYMMETRIC MATRIX.  United States.  doi:10.2172/4412175.

Copy to clipboard


                    Givens, W. Mon .  
        "NUMERICAL COMPUTATION OF THE CHARACTERISTIC VALUES OF A REAL SYMMETRIC MATRIX".  United States.  doi:10.2172/4412175.  https://www.osti.gov/servlets/purl/4412175.

Copy to clipboard


                    
@article{osti_4412175,

  title        = {NUMERICAL COMPUTATION OF THE CHARACTERISTIC VALUES OF A REAL SYMMETRIC MATRIX},

  author       = {Givens, W.},

  abstractNote = {},

  doi          = {10.2172/4412175},

  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {1954},

  month        = {3}

}

Copy to clipboard

Technical Report:

View Technical Report (7.90 MB)

DOI: 10.2172/4412175

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Techniques for computing the numerical values of the matrix elements of the collision operator in the collisional plasma model

Technical Report Meier, H. K. ; van Rij, W. I. ; Beasley, Jr., C. O.

A previous report (ORNL/TM-5314, (1976)) described the collision operator used in the CPM (Collisional Plasma Model), and presented a rigorous derivation of its matrix elements. This report is concerned with practical techniques for obtaining the numerical values of the matrix elements. It is intended primarily for those who must implement or understand a computer simulation based on the CPM.
DOI: 10.2172/7350321

Full Text Available
Numerical computation of the matrix exponential with accuracy estimate

Technical Report Ward, R C
Eigensystem computation for skew-symmetric matrices and a class of symmetric matrices. [Subroutines TRIZD, IMZD, and TBAKZD in FORTRAN for IBM 360/91 computer]

Technical Report Ward, R C ; Gray, L J

An algorithm is given for computing the eigenvalues and (optionally) the eigenvectors of either a skew-symmetric matrix or a symmetric tridiagonal matrix with constant diagonal. The algorithm uses only orthogonal similarity transformations, and is believed to be the most efficient algorithm available for computing all the eigenvalues or the complete eigensystem. 2 tables.
DOI: 10.2172/7350249

Full Text Available
SOME INVERSE CHARACTERISTIC VALUE PROBLEMS WHICH ARISE IN THE STUDY OF SIMPLE MOLECULES

Technical Report Downing, A. C. ; Householder, A. S.
DOI: 10.2172/4357461

Full Text Available
A parallel algorithm for computing the singular value decomposition of a matrix

Technical Report Jessup, E R ; Sorensen, D C

A parallel algorithm for computing the singular value decomposition will be presented. The basic step of the algorithm is a divide and conquer step based upon a rank one modification of a bidiagonal matrix. Numerical difficulties associated with forming the product of a matrix with its transpose are avoided and numerically stable formuale for obtaining left singular vectors after computing updated right singular vectors are derived. A deflation technique is described which together with a robust root finding method will assure computation of the singular values to full accuracy in the residuals and will also assure the orthogonality of themore » singular vectors. 16 refs., 2 figs.« less

Similar Records