Degree matrix: Difference between revisions

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In [[mathematics]], a '''bidiagonal matrix''' is a [[matrix (mathematics)|matrix]] with non-zero entries along the main diagonal and ''either'' the diagonal above or the diagonal below. This means there are exactly two non zero diagonals in the matrix.
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When the diagonal above the main diagonal has the non-zero entries the matrix is '''upper bidiagonal'''. When the diagonal below the main diagonal has the non-zero entries the matrix is '''lower bidiagonal'''.
 
For example, the following matrix is '''upper bidiagonal''':
:<math>\begin{pmatrix}
1 & 4 & 0 & 0 \\
0 & 4 & 1 & 0 \\
0 & 0 & 3 & 4 \\
0 & 0 & 0 & 3 \\
\end{pmatrix}</math>
 
and the following matrix is '''lower bidiagonal''':
 
:<math>\begin{pmatrix}
1 & 0 & 0 & 0 \\
2 & 4 & 0 & 0 \\
0 & 3 & 3 & 0 \\
0 & 0 & 4 & 3 \\
\end{pmatrix}.</math>
 
==Usage==
One variant of the [[QR algorithm]] starts with reducing a general matrix into a bidiagonal one,<ref>Bochkanov Sergey Anatolyevich. ALGLIB User Guide - General Matrix operations - Singular value decomposition . ALGLIB Project. 2010-12-11. URL:http://www.alglib.net/matrixops/general/svd.php. Accessed: 2010-12-11. (Archived by WebCite at http://www.webcitation.org/5utO4iSnR)</ref>
and the [[Singular value decomposition]] uses this method as well.
 
==See also==
* [[Diagonal matrix]]
* [[List of matrices]]
* [[LAPACK]]
* [[Bidiagonalization]]
* [[Hessenberg form]] The Hessenberg form is similar, but has more non zero diagonal lines than 2.
* [[Tridiagonal matrix]] with three diagonals
 
==References==
* Stewart, G. W. (2001) ''Matrix Algorithms, Volume II: Eigensystems''. Society for Industrial and Applied Mathematics. ISBN 0-89871-503-2.
{{Reflist}}
 
==External links==
* [http://www.cs.utexas.edu/users/flame/pubs/flawn53.pdf High performance algorithms] for reduction to condensed (Hessenberg, tridiagonal, bidiagonal) form
 
[[Category:Linear algebra]]
[[Category:Sparse matrices]]
 
{{Linear-algebra-stub}}
{{compu-prog-stub}}

Latest revision as of 23:16, 29 September 2014

The best part of the Tadalis is that men suffering with impotence can even enjoy the multiple orgasms during the sexual copulation. To deal with hot weather, rhinos tend to rest during the heat of the day and forage for food in the mornings and evenings. And most of those herbs are again prohibited by the FDA. It starts working in thirty minutes when it had been ingested and endures for 3 days. In this way, husbands and wives are notorious in forcing these stereotyped roles on one another.

Endocrinologic Impotence: Endocrinologic impotence occurs due to an imbalance of sex hormones in the blood stream. If you weigh 200 pounds you should be drinking 100 ounces of water. Charlatans and "sexologists" help considerably in the commission of these beliefs in all strata of society. Depression, performance anxiety and relationship issues are some among the common psychological factors giving rise to the risk of male impotence. Lots of scientific findings confirm it helps increase immune system as well as improve level of energy.

s person, rubbed inside chimneys and keyholes and hung round window frames. Respiration techniques are also useful if used regularly. This herbal supplement is also found to be as a best cure for treating low libido problems. If these key treatments do not assist you, your specialist may recommend you impotence drugs such as Viagra, Cialis and Levitra. By witnessing the success of the anti-impotence pill, many manufactures started to produce drug similar to the innovator anti-impotence which would be more appealing to the general public.

The Men's Health Forum and the Impotence Association said one in five men suffering from impotence believe it ruined their relationship. Organizations that are committed to long term success recognize and realize that creating a culture where ethical behaviors are rewarded and encouraged is the ultimate key to survival today and growth in the future. The common side effects are always there with all the drugs however being aware of them and minimizing them will be the smart move to make. Meaning they don't grow in a definite regular shape. If you are looking for a legitimate resource for Cialis and Levitra you can visit UK Med.

The best way to avoid this is to always use photo release forms when shooting. 7% of newly married men have acute prostatitis that trigger prostate swelling that causes premature ejaculation, nocturnal emission, ejaculation pain and even erectile dysfunction. take a second and Google 'Vision loss and impotence' and you will find about 1. Of course, if your personal or family history suggests that no wine is best for you, then forego the vino and opt for red grape juice, which contains those same antioxidants. - these are found to be alike to their father or mother.

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