1. Bai, Z., Demmel, J., Dongarra, J., Ruhe, A., van der Vorst, H. (eds.): Templates for the solution of Algebraic Eigenvalue Problems: A Practical Guide. SIAM, Philadelphia (2000)

   MATH  Google Scholar 

2. Marques, O., Demmel, J., Voemel, C., Parlett, B.N.: A testing infrastructure for symmetric tridiagonal eigensolvers. ACM TOMS35, 1–13 (2008)

   Article  Google Scholar 

3. Demmel, J., Marques, O., Voemel, C., Parlett, B.N.: Performance and accuracy of LAPACK’s symmetric tridiagonal eigensolvers. SIAM J. Sci. Comput.30, 1508–1526 (2008)

   Article MathSciNet MATH  Google Scholar 

4. Dhillon, I.S., Parlett, B.N.: Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices. Linear Algebra Appl.387, 1–28 (2004)

   Article MathSciNet MATH  Google Scholar 

5. Dhillon, I.S., Parlett, B.N., Voemel, C.: The design and implementation of the MRRR algorithm. ACM TOMS32, 533–560 (2006)

   Article MathSciNet MATH  Google Scholar 

6. Willems, P., Lang, B.: A framework for the MR\(^3\) algorithm: theory and implementation. SIAM J. Sci. Comput.35, 740–766 (2013)

   Article MathSciNet  Google Scholar 

7. Demmel, J., Kahan, W.: Accurate singular values of bidiagonal matrices. SIAM J. Sci. Stat. Comput.11, 873–912 (1990)

   Article MathSciNet MATH  Google Scholar 

8. Willems, P., Lang, B., Voemel, C.: Computing the bidiagonal SVD using multiple relatively robust representations. SIAM. J. Matrix Anal. Appl.28, 907–926 (2006)

   Article MathSciNet MATH  Google Scholar 

9. Willems, P.: On MR\(^3\)-type algorithms for the tridiagonal symmetric eigenproblem and the bidiagonal SVD, PhD dissertation, University of Wuppertal (2010)

   Google Scholar 

10. Voemel, C.: ScaLAPACK’s MRRR algorithm. ACM TOMS37, 1–35 (2010)

    Article MathSciNet MATH  Google Scholar 

Download references