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  • 1
    Electronic Resource
    Electronic Resource
    Properties of product-type quadrature formulas (1973)
    Springer
    BIT 13 (1973), S. 287-291 
    Details
    ISSN: 1572-9125
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this note some properties of the coefficient matrix associated with a product-interpolatory quadrature formula are determined and certain consequences of exactness of a product-type quadrature rule are deduced. For example, it is shown that the coefficient matrix has maximal rank and it is positive definite when the rule is symmetric. Conditions are stated under which a product-interpolatory rule reduces to a regular quadrature rule. A characterization of the error committed in applying a regular rule to a product of two functions is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01951939
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