HQR3

Algorithm 506: HQR3 and EXCHNG: Fortran Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper Hessenberg Matrix.

This software is also peer reviewed by journal TOMS.

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References in zbMATH (referenced in 49 articles )

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  1. Dillon, Geoffrey; Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef: A hierarchical low rank Schur complement preconditioner for indefinite linear systems (2018)
  2. Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef: Schur complement-based domain decomposition preconditioners with low-rank corrections. (2016)
  3. Huang, Tsung-Ming; Lin, Wen-Wei: Structured doubling algorithms for weakly stabilizing Hermitian solutions of algebraic Riccati equations (2009)
  4. Laub, A. J.; Xia, J.: Fast condition estimation for a class of structured eigenvalue problems (2009)
  5. Laub, A. J.; Xia, J.: Statistical condition estimation for the roots of polynomials (2008)
  6. Granat, Robert; Kågström, Bo: Direct eigenvalue reordering in a product of matrices in periodic Schur form (2006)
  7. Kressner, Daniel: Block algorithms for reordering standard and generalized Schur forms. (2006)
  8. Chu, E. K.-W.; Fan, H.-Y.; Lin, W.-W.: A structure-preserving doubling algorithm for continuous-time algebraic Riccati equations (2005)
  9. Kreßner, Daniel: Numerical methods and software for general and structured eigenvalue problems. (2004)
  10. Li, Wenlung: A degree selection method of matrix condensations for eigenvalue problems (2003)
  11. Kaper, Hans G.; Kaper, Tasso J.: Asymptotic analysis of two reduction methods for systems of chemical reactions (2002)
  12. Mari, J.: Modifications of rational transfer matrices to achieve positive realness. (2000)
  13. Bai, Zhaojun; Stewart, G. W.: Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix (1997)
  14. Zheng, Zhaochang; Ren, Gexue; Williams, F. W.: The eigenvalue problem for damped gyroscopic systems (1997)
  15. Dieci, Luca; Morini, Benedetta; Papini, Alessandra: Computational techniques for real logarithms of matrices (1996)
  16. Lehoucq, R. B.; Sorensen, D. C.: Deflation techniques for an implicitly restarted Arnoldi iteration (1996)
  17. Schelfhout, Geert; De Moor, Bart: A note on closed-loop balanced truncation (1996)
  18. Zheng, Zhaochang; Ren, Gexue: The analytical approach for large scale non-classically damped dynamic system (1996)
  19. George, A.; Ikramov, Kh. D.; Matushkina, E. V.; Tang, W.-P.: On a QR-like algorithm for some structured eigenvalue problems (1995)
  20. Gu, Ming: Finding well-conditioned similarities to block-diagonalize nonsymmetric matrices is NP-hard (1995)

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