It takes the average reader 10 hours and 13 minutes to read Tractability of Multivariate Problems by Erich Novak
Assuming a reading speed of 250 words per minute. Learn more
This three-volume set is a comprehensive study of the tractability of multivariate problems. Volume I covers algorithms using linear information consisting of arbitrary continuous linear functionals. Volumes II and III are devoted to algorithms using standard information consisting of function values. Approximation of linear and selected nonlinear functionals is dealt with in volume II, and linear and selected nonlinear operators are studied in volume III. To a large extent, volume III can be read independently of volumes I and II. The most important example studied in volume III is the approximation of multivariate functions. It turns out that many other linear and some nonlinear problems are closely related to the approximation of multivariate functions. While the lower bounds obtained in volume I for the class of linear information also yield lower bounds for the standard class of function values, new techniques for upper bounds are presented in volume III. One of the main issues here is to verify when the power of standard information is nearly the same as the power of linear information. In particular, for the approximation problem defined over Hilbert spaces, the power of standard and linear information is the same in the randomized and average case (with Gaussian measures) settings, whereas in the worst case setting this is not true. The book is of interest to researchers working in computational mathematics, especially in approximation of high-dimensional problems. It may be well suited for graduate courses and seminars. The text contains 58 open problems for future research in tractability.
Tractability of Multivariate Problems by Erich Novak is 604 pages long, and a total of 153,416 words.
This makes it 204% the length of the average book. It also has 187% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 13 hours and 58 minutes to read Tractability of Multivariate Problems aloud.
Tractability of Multivariate Problems is suitable for students ages 12 and up.
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