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Introduction to a Gram-Schmidt-type biorthogonalization method

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Publication:470406
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DOI10.1216/RMJ-2014-44-4-1265zbMath1303.65024MaRDI QIDQ470406

Ludwig Kohaupt

Publication date: 12 November 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1414760953


zbMATH Keywords

numerical exampleGram-Schmidt orthogonalization methodGram-Schmidt-type biorthogonalization method


Mathematics Subject Classification ID

Orthogonalization in numerical linear algebra (65F25)


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Reduced Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls



Cites Work

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  • Error estimate for the Jacobi method adapted to the weak row sum resp. weak column sum criterion
  • Matrix computations.
  • Illustration of the logarithmic derivatives by examples suitable for classroom teaching
  • Inversion of Matrices by Biorthogonalization and Related Results
  • A Look-Ahead Lanczos Algorithm for Unsymmetric Matrices
  • Basis of Eigenvectors and Principal Vectors Associated with Gauss--Seidel Matrix of A = tridiag [-1 2 -1]
  • Zur Praxis der Biorthonormierung von Eigen‐ und Hauptvektoren
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