Direct Methods for Solving Systems of Linear Equations, Involving Toeplitz or Hankel Matrices.

Cornyn, John J., Jr

Direct Methods for Solving Systems of Linear Equations, Involving Toeplitz or Hankel Matrices.

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Abstract:

Some direct methods for solving systems of linear equations involving nonsingular block and scalar Toeplitz or Hankel matrices are considered. These methods include the use of the discrete and fast Fourier transforms for left and right q-circulant linear systems, Trenchs inversion algorithms and Choleskys and Rissanens triangular decomposition algorithms.

Author(s):

Cornyn, John J., Jr

Author Organization(s):

NAVAL RESEARCH LAB WASHINGTON D C

Descriptive Note:

Final rept.,

Pagination:

0197

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:

Approved For Public Release

RECORD

Collection: TR

Identifying Numbers

Report Number(s):

NRL-MR-2920

Task Number(s):

ZF11121003

Project Number(s):

NRL-54B02-20, NRL-54B02-16

Subject Terms

Communities of Interest:

No COI(s) Identified

Descriptor(s):

*COMPUTER PROGRAMS, *COMPUTATIONS, *MATRICES(MATHEMATICS), FOURIER TRANSFORMATION, THESES, FORTRAN, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES, LINEAR ALGEBRAIC EQUATIONS

Field(s)/Group(s):

Theoretical Mathematics, Computer Programming and Software

Keyword(s):

Toeplitz matrices, Hankel matrices, Fast Fourier transform

Report Date:

1974 Oct 01