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    A New Matrix Formula for the Inverse Laplace Transformation

    Source: Journal of Fluids Engineering:;1967:;volume( 089 ):;issue: 002::page 269
    Author:
    C. F. Chen
    ,
    R. E. Yates
    DOI: 10.1115/1.3609592
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A new matrix formula for the inverse Laplace transformation is established. After substituting the eigenvalues and coefficients and performing some simple matrix operations, one can obtain the inverse Laplace transformation of the function in question. The regular Heaviside techniques involving partial fraction expansions, function differentiations, and so on, are avoided. Since the formula is general, it is particularly advantageous for use on high-order transfer functions; since the formula is exact, the results have no numerical errors. Hundreds of commonly used transform pairs can be replaced by this single matrix formula.
    keyword(s): Formulas , Transfer functions , Eigenvalues AND Errors ,
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      A New Matrix Formula for the Inverse Laplace Transformation

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    http://yetl.yabesh.ir/yetl1/handle/yetl/120033
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    contributor authorC. F. Chen
    contributor authorR. E. Yates
    date accessioned2017-05-08T23:55:52Z
    date available2017-05-08T23:55:52Z
    date copyrightJune, 1967
    date issued1967
    identifier issn0098-2202
    identifier otherJFEGA4-27296#269_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/120033
    description abstractA new matrix formula for the inverse Laplace transformation is established. After substituting the eigenvalues and coefficients and performing some simple matrix operations, one can obtain the inverse Laplace transformation of the function in question. The regular Heaviside techniques involving partial fraction expansions, function differentiations, and so on, are avoided. Since the formula is general, it is particularly advantageous for use on high-order transfer functions; since the formula is exact, the results have no numerical errors. Hundreds of commonly used transform pairs can be replaced by this single matrix formula.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA New Matrix Formula for the Inverse Laplace Transformation
    typeJournal Paper
    journal volume89
    journal issue2
    journal titleJournal of Fluids Engineering
    identifier doi10.1115/1.3609592
    journal fristpage269
    journal lastpage272
    identifier eissn1528-901X
    keywordsFormulas
    keywordsTransfer functions
    keywordsEigenvalues AND Errors
    treeJournal of Fluids Engineering:;1967:;volume( 089 ):;issue: 002
    contenttypeFulltext
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