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Ways to approximate functions using polynomials


Find conjugation invariant functions without using eigenvalues?Deducing that polynomials spanPolynomial maps on indeterminate of vector space of polynomialsOverlapping PolynomialsSVD methods for minimal polynomialApproximate an exponential factorPolynomial approximations to roots of polynomials.Linearizations for matrix polynomials?Approximation using a matrixApproximate scalar dot product with a vector's sum













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$begingroup$


Other than Taylor's theorem what other methods can be used to approximate a function that ultimately reduces it down to a polynomial?










share|cite|improve this question









$endgroup$












  • $begingroup$
    There is a lot out there, just look at any numerics book. Some classical examples are splines, polynomial interpolation...
    $endgroup$
    – Enkidu
    Mar 20 at 13:56










  • $begingroup$
    en.wikipedia.org/wiki/Bernstein_polynomial could be relevant
    $endgroup$
    – Klaus
    Mar 20 at 14:07
















0












$begingroup$


Other than Taylor's theorem what other methods can be used to approximate a function that ultimately reduces it down to a polynomial?










share|cite|improve this question









$endgroup$












  • $begingroup$
    There is a lot out there, just look at any numerics book. Some classical examples are splines, polynomial interpolation...
    $endgroup$
    – Enkidu
    Mar 20 at 13:56










  • $begingroup$
    en.wikipedia.org/wiki/Bernstein_polynomial could be relevant
    $endgroup$
    – Klaus
    Mar 20 at 14:07














0












0








0





$begingroup$


Other than Taylor's theorem what other methods can be used to approximate a function that ultimately reduces it down to a polynomial?










share|cite|improve this question









$endgroup$




Other than Taylor's theorem what other methods can be used to approximate a function that ultimately reduces it down to a polynomial?







linear-algebra






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 20 at 12:30









flowerpowerflowerpower

6




6












  • $begingroup$
    There is a lot out there, just look at any numerics book. Some classical examples are splines, polynomial interpolation...
    $endgroup$
    – Enkidu
    Mar 20 at 13:56










  • $begingroup$
    en.wikipedia.org/wiki/Bernstein_polynomial could be relevant
    $endgroup$
    – Klaus
    Mar 20 at 14:07


















  • $begingroup$
    There is a lot out there, just look at any numerics book. Some classical examples are splines, polynomial interpolation...
    $endgroup$
    – Enkidu
    Mar 20 at 13:56










  • $begingroup$
    en.wikipedia.org/wiki/Bernstein_polynomial could be relevant
    $endgroup$
    – Klaus
    Mar 20 at 14:07
















$begingroup$
There is a lot out there, just look at any numerics book. Some classical examples are splines, polynomial interpolation...
$endgroup$
– Enkidu
Mar 20 at 13:56




$begingroup$
There is a lot out there, just look at any numerics book. Some classical examples are splines, polynomial interpolation...
$endgroup$
– Enkidu
Mar 20 at 13:56












$begingroup$
en.wikipedia.org/wiki/Bernstein_polynomial could be relevant
$endgroup$
– Klaus
Mar 20 at 14:07




$begingroup$
en.wikipedia.org/wiki/Bernstein_polynomial could be relevant
$endgroup$
– Klaus
Mar 20 at 14:07










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