Algorithm 826
swMATH ID:  4468 
Software Authors:  Fahey, Mark R. 
Description:  Algorithm 826: A parallel eigenvalue routine for complex Hessenberg matrices A code for computing the eigenvalues of a complex Hessenberg matrix is presented. This code computes the Schur decomposition of a complex Hessenberg matrix. Together with existing ScaLAPACK routines, the eigenvalues of dense complex matrices can be directly computed using a parallel \(QR\) algorithm.This parallel complex Schur decomposition routine was developed to fill a void in the ScaLAPACK library and was based on the parallel real Schur decomposition routine already in ScaLAPACK. The realarithmetic version was appropriately modified to make it work with complex arithmetic and implement a complex multiple bulge \(QR\) algorithm. This also required the development of new auxiliary routines that perform essential operations for the complex Schur decomposition, and that will provide additional linear algebra computation capability to the parallel numerical library community. 
Homepage:  http://dl.acm.org/citation.cfm?id=838256 
Related Software:  ScaLAPACK; ELPA; Algorithm 953; LAPACK; SBR Toolbox; PDLAQR1; PDHSEQR; PLASMA; MAGMA; EISPACK; FLAME 
Cited in:  3 Documents 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Algorithm 826: A parallel eigenvalue routine for complex Hessenberg matrices. Zbl 1070.65530 Fahey, Mark R. 
2003

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top 5
Cited by 9 Authors
2  Shao, Meiyue 
1  da Jornada, Felipe H. 
1  Deslippe, Jack 
1  Fahey, Mark R. 
1  Granat, Robert A. 
1  Kågström, Bo 
1  Kressner, Daniel 
1  Louie, Steven G. 
1  Yang, Chao 
Cited in 2 Serials
2  ACM Transactions on Mathematical Software 
1  Linear Algebra and its Applications 
Cited in 1 Field
3  Numerical analysis (65XX) 