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Universidad Central de Venezuela Facultad de Ciencias
 

Summary: Universidad Central de Venezuela
Facultad de Ciencias
Escuela de Computación
Lecturas en Ciencias de la Computación
ISSN 1316-6239
Computing pseudospectra using block
Arnoldi iteration
Reinaldo Astudillo y Zenaida Castillo
RT 2009-02
Centro de Cálculo Científico y Tecnológico (CCCT)
Caracas, Enero, 2009
COMPUTING PSEUDOSPECTRA USING BLOCK ARNOLDI
ITERATION
REINALDO ASTUDILLO AND ZENAIDA CASTILLO
Abstract. The pseudospectra is a useful tool to study the behavior of systems associated
with nonnormal matrices. Different projection Krylov methods have been used to calculate the
pseudospectra of large matrices rather than typical aproaches which require the application of SVD
descomposition several times, inverse power method or Lanczos method. In this work we investi-
gated the practical applicability and the performance of Block Implicit restarted Arnoldi method
(BLIRAM) proposed in [5] to approximate the pseudospectrum of large matrices.

  

Source: Astudillo, Reinaldo - Departamento de Computación, Universidad Central de Venezuela

 

Collections: Computer Technologies and Information Sciences