Implemented Theorem 7 in Miya14

[orkolorko]

PR description

Implemented Algorithm M1 based on Theorem 7 of
https://link.springer.com/article/10.1007/s13160-014-0145-5

After

The, not exported function svdbox, allows to compute rigorous enclosures of the singular values of a matrix (rectangular and square)

Checklist

• Updated/added tests
• Updated/added docstring (needed only for exported functions)

Other

I did not export the function yet

[lucaferranti]

thank you very much! This is a very nice and welcome addition! I'll try to investigate the failing tests in the next couple of days

[orkolorko]

I'm doing some further work on the branch

[codecov-commenter]

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Codecov Report

❌ Patch coverage is 94.21488% with 7 lines in your changes missing coverage. Please review.
✅ Project coverage is 96.72%. Comparing base (fe87dd4) to head (17f6aae).
⚠️ Report is 5 commits behind head on main.

Files with missing lines	Patch %	Lines
src/IntervalLinearAlgebra.jl	66.66%	5 Missing ⚠️
src/eigenvalues/miyajima_svd.jl	97.53%	2 Missing ⚠️
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Additional details and impacted files

@@            Coverage Diff             @@
##             main     #129      +/-   ##
==========================================
- Coverage   97.19%   96.72%   -0.48%     
==========================================
  Files          17       19       +2     
  Lines         642      763     +121     
==========================================
+ Hits          624      738     +114     
- Misses         18       25       +7     

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[orkolorko]

thank you very much! This is a very nice and welcome addition! I'll try to investigate the failing tests in the next couple of days

@lucaferranti I'm happy is it interesting! Happy to contribute!

I am thinking about implementing Miyajima's estimates for eigenvalues later on, also.

I will also check if Miyajima's svd estimate works for complex matrices (Rump estimate works, so it should, but the theorems in his paper are only stated for real matrices.)