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Dynamic Data Structures in the Incremental Algorithms Operating on a Certain Class of Special Matrices

  • Jerzy S. Respondek
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8584)

Abstract

The article gives an incremental algorithm for calculating the inversion of the confluent Vandermonde matrix (CVM). We implemented all the incremental operations, i.e. adding, deleting and changing the single matrix parameter to avoid repeating the same calculations again and again. We obtained the quadratic logarithmic time complexity in the general case and the linear logarithmic complexity for the special case of small matrix parameters. Up to now, the fastest algorithms were of the cubic and quadratic class, respectively.

Keywords

Binary Tree Data structures Numerical recipes Computational complexity 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Jerzy S. Respondek
    • 1
  1. 1.Faculty of Automatic Control, Electronics and Computer Science, Institute of Computer ScienceSilesian University of TechnologyPoland

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