How Long to Read Moments, Positive Polynomials and Their Applications

How Long Does it Take to Read Moments, Positive Polynomials and Their Applications?

It takes the average reader 6 hours and 30 minutes to read Moments, Positive Polynomials and Their Applications by Jean-Bernard Lasserre

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

Description

Many important applications in global optimization, algebra, probability and statistics, applied mathematics, control theory, financial mathematics, inverse problems, etc. can be modeled as a particular instance of the Generalized Moment Problem (GMP) . This book introduces a new general methodology to solve the GMP when its data are polynomials and basic semi-algebraic sets. This methodology combines semidefinite programming with recent results from real algebraic geometry to provide a hierarchy of semidefinite relaxations converging to the desired optimal value. Applied on appropriate cones, standard duality in convex optimization nicely expresses the duality between moments and positive polynomials. In the second part, the methodology is particularized and described in detail for various applications, including global optimization, probability, optimal control, mathematical finance, multivariate integration, etc., and examples are provided for each particular application. Errata(s). Errata. Sample Chapter(s). Chapter 1: The Generalized Moment Problem (227 KB). Contents: Moments and Positive Polynomials: The Generalized Moment Problem; Positive Polynomials; Moments; Algorithms for Moment Problems; Applications: Global Optimization over Polynomials; Systems of Polynomial Equations; Applications in Probability; Markov Chains Applications; Application in Mathematical Finance; Application in Control; Convex Envelope and Representation of Convex Sets; Multivariate Integration; Min-Max Problems and Nash Equilibria; Bounds on Linear PDE. Readership: Postgraduates, academics and researchers in mathematical programming, control and optimization.

How long is Moments, Positive Polynomials and Their Applications?

Moments, Positive Polynomials and Their Applications by Jean-Bernard Lasserre is 384 pages long, and a total of 97,536 words.

This makes it 130% the length of the average book. It also has 119% more words than the average book.

How Long Does it Take to Read Moments, Positive Polynomials and Their Applications Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 52 minutes to read Moments, Positive Polynomials and Their Applications aloud.

What Reading Level is Moments, Positive Polynomials and Their Applications?

Moments, Positive Polynomials and Their Applications is suitable for students ages 12 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 Moments, Positive Polynomials and Their Applications?

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