How Long to Read The Real Positive Definite Completion Problem

How Long Does it Take to Read The Real Positive Definite Completion Problem?

It takes the average reader 1 hour and 11 minutes to read The Real Positive Definite Completion Problem by Wayne Walton Barrett

Assuming a reading speed of 250 words per minute. Learn more

Description

Given a partial symmetric matrix, the positive definite completion problem asks if the unspecified entries in the matrix can be chosen so as to make the resulting matrix positive definite. Applications include probability and statistics, image enhancement, systems engineering, geophysics, and mathematical programming. The positive definite completion problem can also be viewed as a mechanism for addressing a fundamental problem in Euclidean geometry: which potential geometric configurations of vectors (i.e., configurations with angles between some vectors specified) are realizable in a Euclidean space. The positions of the specified entries in a partial matrix are naturally described by a graph. The question of existence of a positive definite completion was previously solved completely for the restrictive class of chordal graphs and this work solves the problem for the class of cycle completable graphs, a significant generalization of chordal graphs. These are the graphs for which knowledge of completability for induced cycles (and cliques) implies completability of partial symmetric matrices with the given graph.

How long is The Real Positive Definite Completion Problem?

The Real Positive Definite Completion Problem by Wayne Walton Barrett is 69 pages long, and a total of 17,871 words.

This makes it 23% the length of the average book. It also has 22% more words than the average book.

How Long Does it Take to Read The Real Positive Definite Completion Problem Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 37 minutes to read The Real Positive Definite Completion Problem aloud.

What Reading Level is The Real Positive Definite Completion Problem?

The Real Positive Definite Completion Problem is suitable for students ages 8 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy The Real Positive Definite Completion Problem?

The Real Positive Definite Completion Problem by Wayne Walton Barrett is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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