Rice Univesrity Logo
    • FAQ
    • Deposit your work
    • Login
    View Item 
    •   Rice Scholarship Home
    • Faculty & Staff Research
    • George R. Brown School of Engineering
    • Computational and Applied Mathematics
    • CAAM Technical Reports
    • View Item
    •   Rice Scholarship Home
    • Faculty & Staff Research
    • George R. Brown School of Engineering
    • Computational and Applied Mathematics
    • CAAM Technical Reports
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Program Analysis and Transformation in Mathematical Programming

    Thumbnail
    Name:
    TR08-14.pdf
    Size:
    607.0Kb
    Format:
    PDF
    View/Open
    Author
    Young, Joseph G.
    Date
    August 2008
    Abstract
    Over the years, mathematical models have become increasingly complex. Rarely can we accurately model a process using only linear or quadratic functions. Instead, we must employ complicated routines written in some programming language. At the same time, most algorithms rely on the ability to exploit structural features within a model. Thus, our ability to compute with a model directly relates to our ability to analyze it. Mathematical programs exemplify these difficult modeling issues. Our desire to accurately model a process is mediated by our ability to solve the resulting problem. Nonetheless, many problems contain hidden structural features that, when identified, allow us to transform the problem into a more computable form. Thus, we must develop methods that not only recognize these hidden features, but exploit them by transforming one problem formulation into another. We present a new domain specific language for mathematical programming. The goal of this language is to develop a system of techniques that allow us to automatically determine the structure of a problem then transform it into a more desirable form. Our technical contribution to this area includes the grammar, type system, and semantics of such a language. Then, we use these tools to develop a series of transformations that manipulate the mathematical model.
    Description
    This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/22230
    Citation
    Young, Joseph G.. "Program Analysis and Transformation in Mathematical Programming." (2008) https://hdl.handle.net/1911/102094.
    Type
    Technical report
    Citable link to this page
    https://hdl.handle.net/1911/102094
    Metadata
    Show full item record
    Collections
    • CAAM Technical Reports [719]

    Home | FAQ | Contact Us | Privacy Notice | Accessibility Statement
    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map

     

    Searching scope

    Browse

    Entire ArchiveCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsTypeThis CollectionBy Issue DateAuthorsTitlesSubjectsType

    My Account

    Login

    Statistics

    View Usage Statistics

    Home | FAQ | Contact Us | Privacy Notice | Accessibility Statement
    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map