References

[1]
S. M. Rump. Fast and Parallel Interval Arithmetic. BIT Numerical Mathematics 39, 534–554 (1999).
[2]
N. Revol and P. Théveny. Parallel Implementation of Interval Matrix Multiplication. Reliable Computing 19, 91 (2013).
[3]
S. Miyajima. Numerical enclosure for each eigenvalue in generalized eigenvalue problem. Journal of Computational and Applied Mathematics 236, 2545–2552 (2012).
[4]
N. J. Higham. Accuracy and Stability of Numerical Algorithms: Second Edition (Philadelphia, PA: SIAM, 1996).
[5]
[6]
S. Miyajima. Verified bounds for all the singular values of matrix. Japan Journal of Industrial and Applied Mathematics 31, 513–539 (2014).