Item Details

An Extension of the QZ Algorithm for Solving the Generalized Matrix Eigenvalue Problem

by Robert C. Ward
Format
Book; Government Document; Online; EBook
Published
Washington, D.C. : National Aeronautics and Space Administration ; [Springfield, Va. : For sale by the National Technical Information Service], 1973.
Language
English
Series
NASA Technical Note
Summary
This algorithm is an extension of Moler and Stewart's QZ algorithm with some added features for saving time and operations. Also, some additional properties of the QR algorithm which were not practical to implement in the QZ algorithm can be generalized with the combination shift QZ algorithm. Numerous test cases are presented to give practical application tests for algorithm. Based on results, this algorithm should be preferred over existing algorithms which attempt to solve the class of generalized eigenproblems where both matrices are singular or nearly singular.
Description
iii, 52 p. : ill. ; 27 cm.
Mode of access: Internet.
Notes
  • Prepared at Langley Research Center.
  • Cover title.
  • Bibliography: p. 44.
Series Statement
NASA technical note ; NASA TN D-7305
Logo for No Copyright - United StatesNo Copyright - United States
Technical Details

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    a| An extension of the QZ algorithm for solving the generalized matrix eigenvalue problem c| by Robert C. Ward.
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    a| Washington, D.C. : b| National Aeronautics and Space Administration ; a| [Springfield, Va. : b| For sale by the National Technical Information Service], c| 1973.
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    a| iii, 52 p. : b| ill. ; c| 27 cm.
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    a| NASA technical note ; v| NASA TN D-7305
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    a| Prepared at Langley Research Center.
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    a| Cover title.
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    a| Bibliography: p. 44.
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    a| This algorithm is an extension of Moler and Stewart's QZ algorithm with some added features for saving time and operations. Also, some additional properties of the QR algorithm which were not practical to implement in the QZ algorithm can be generalized with the combination shift QZ algorithm. Numerous test cases are presented to give practical application tests for algorithm. Based on results, this algorithm should be preferred over existing algorithms which attempt to solve the class of generalized eigenproblems where both matrices are singular or nearly singular.
    538
      
      
    a| Mode of access: Internet.
    650
      
    0
    a| Numerical analysis.
    650
      
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    a| Eigenvalues.
    650
      
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    a| Algorithms.
    710
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    a| United States. b| National Aeronautics and Space Administration.
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    a| Langley Research Center.
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    b| UIU c| UIUC d| 20141113 s| google u| uiug.30112106885616 y| 1973 r| pd q| bib

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