The Probability That a Numerical Analysis Problem is Difficult
The Probability That a Numerical Analysis Problem is Difficult
The book The Probability That a Numerical Analysis Problem is Difficult was written by author Here you can read free online of The Probability That a Numerical Analysis Problem is Difficult book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is The Probability That a Numerical Analysis Problem is Difficult a good or bad book?
Where can I read The Probability That a Numerical Analysis Problem is Difficult for free?
In our eReader you can find the full English version of the book. Read The Probability That a Numerical Analysis Problem is Difficult Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Probability That a Numerical Analysis Problem is Difficult
In our eReader you can find the full English version of the book. Read The Probability That a Numerical Analysis Problem is Difficult Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Probability That a Numerical Analysis Problem is Difficult
What reading level is The Probability That a Numerical Analysis Problem is Difficult book?
To quickly assess the difficulty of the text, read a short excerpt:
2) Prob( K (A) 3= *) = "^, ' + 0( — x" Remark: The upper bound in (5. 1) exceeds the asymptotic value in (5. 2) by a factor of only about e 2 n A /(n 2 -l) for sufficiently large x. However, even for n = 10, x must exceed about 5300 for the upper bound to drop below 1. For n = 100, x must exceed 2. 210 7 for the upper bound to drop below 1.
Applying estimate (4. 20) to equation (3. 2) yields Theorem 5. 2: Let A be a random real n by n matrix distributed in such a way that A/||A|| f is uniformly... distributed on the unit sphere. Let k(A) = ||A|| F -||A _1 ||. Then C ^- y*)" 2 " 1 ^ Prob(K(A) * x) * i *k)0 is a constant proportional to the volume of the variety of singular matrices inside the unit ball.
Remark: When n = 10 x must exceed 4900 for the upper bound in (5. 3) to be less than 1. More generally, for large n x must exceed about 4. 93n 3 for the upper bound to be less than 1. One can prove this by noting that the upper bound may also be written as 2[(l+2n/x)" : - 1].
What to read after The Probability That a Numerical Analysis Problem is Difficult?
You can find similar books in the "Read Also" column, or choose other free books by James Demmel to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2) Prob( K (A) 3= *) = "^, ' + 0( — x" Remark: The upper bound in (5. 1) exceeds the asymptotic value in (5. 2) by a factor of only about e 2 n A /(n 2 -l) for sufficiently large x. However, even for n = 10, x must exceed about 5300 for the upper bound to drop below 1. For n = 100, x must exceed 2. 210 7 for the upper bound to drop below 1.
Applying estimate (4. 20) to equation (3. 2) yields Theorem 5. 2: Let A be a random real n by n matrix distributed in such a way that A/||A|| f is uniformly... distributed on the unit sphere. Let k(A) = ||A|| F -||A _1 ||. Then C ^- y*)" 2 " 1 ^ Prob(K(A) * x) * i *k)
Remark: When n = 10 x must exceed 4900 for the upper bound in (5. 3) to be less than 1. More generally, for large n x must exceed about 4. 93n 3 for the upper bound to be less than 1. One can prove this by noting that the upper bound may also be written as 2[(l+2n/x)" : - 1].
What to read after The Probability That a Numerical Analysis Problem is Difficult?
You can find similar books in the "Read Also" column, or choose other free books by James Demmel to read onlineMoreLess
Read book The Probability That a Numerical Analysis Problem is Difficult for free
You can download books for free in various formats, such as epub, pdf, azw, mobi, txt and others on book networks site. Additionally, the entire text is available for online reading through our e-reader. Our site is not responsible for the performance of third-party products (sites).
Write Review:
Guest
Read Also
7 / 10
9 / 10
7 / 10
10 / 10
User Reviews: