pm_polynomial.F90 File Reference

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Data Types
interface	pm_polynomial::getPolyVal
	Generate and return the value of the polynomial of arbitrary degree whose coefficients are specified by the user in the order of increasing power. More...
interface	pm_polynomial::getPolyAdd
	Generate and return the vector of coefficients of the polynomial resulting from the addition of a polynomial to another polynomial of arbitrary degrees. More...
interface	pm_polynomial::setPolyAdd
	Return the vector of coefficients of the polynomial resulting from the addition of a polynomial to another polynomial of arbitrary degrees. More...
interface	pm_polynomial::getPolySub
	Generate and return the vector of coefficients of the polynomial resulting from the subtraction of a polynomial to another polynomial of arbitrary degrees. More...
interface	pm_polynomial::setPolySub
	Return the vector of coefficients of the polynomial resulting from the subtraction of a polynomial to another polynomial of arbitrary degrees. More...
interface	pm_polynomial::getPolyMul
	Generate and return the vector of coefficients of the polynomial resulting from the multiplication of a polynomial with another polynomial of arbitrary degrees. More...
interface	pm_polynomial::setPolyMul
	Return the vector of coefficients of the polynomial resulting from the multiplication of a polynomial with another polynomial of arbitrary degrees. More...
interface	pm_polynomial::setPolyDiv
	Return the quotient and remainder of dividing a polynomial with another polynomial of arbitrary degrees. More...
interface	pm_polynomial::getPolyDiff
	Generate and return the vector of coefficients of the polynomial resulting from the \(k\)th-order differentiation of a univariate polynomial of arbitrary degree. More...
interface	pm_polynomial::setPolyDiff
	Return the vector of coefficients of the polynomial resulting from the \(k\)th-order differentiation of a univariate polynomial of arbitrary degree. More...
interface	pm_polynomial::getPolyStr
	Generate and return a string containing the polynomial expression corresponding to the input polynomial coefficients. More...
type	pm_polynomial::method_type
	This is an abstract derived type for constructing concrete derived types to distinguish various procedure signatures that require root-finding methods (e.g., Eigenvalue, Jenkins, Laguerre, ...). More...
type	pm_polynomial::sgl_type
	This is a concrete derived type whose instances are exclusively used to signify the use of Skowron-Gould method of root-finding. More...
type	pm_polynomial::eigen_type
	This is a concrete derived type whose instances are exclusively used to signify the use of the Eigenvalue method of root-finding. More...
type	pm_polynomial::jenkins_type
	This is a concrete derived type whose instances are exclusively used to signify the use of Jenkins-Traub method of root-finding. More...
type	pm_polynomial::laguerre_type
	This is a concrete derived type whose instances are exclusively used to signify the use of Laguerre method of root-finding. More...
interface	pm_polynomial::getPolyRoot
	Generate and return the roots of a polynomial of arbitrary degree specified by its coefficients coef. More...
interface	pm_polynomial::setPolyRoot
	Return the roots of a polynomial of arbitrary degree specified by its coefficients coef. More...
interface	pm_polynomial::setPolyRootPolished
	Return the polished (refined) root of a polynomial of arbitrary degree specified by its coefficients coef. More...

Modules
module	pm_polynomial
	This module contains procedures and generic interfaces for performing various mathematical operations involving polynomials.

Variables
character(*, SK), parameter	pm_polynomial::MODULE_NAME = "@pm_polynomial"
type(sgl_type), parameter	pm_polynomial::sgl = sgl_type()
	This is a scalar parameter object of type sgl_type that is exclusively used to signify the use of Skowron-Gould method of root-finding within an interface of a procedure of the ParaMonte library. More...
type(eigen_type), parameter	pm_polynomial::eigen = eigen_type()
	This is a scalar parameter object of type eigen_type that is exclusively used to signify the use of Eigenvalue method of root-finding within an interface of a procedure of the ParaMonte library. More...
type(jenkins_type), parameter	pm_polynomial::jenkins = jenkins_type()
	This is a scalar parameter object of type jenkins_type that is exclusively used to signify the use of Jenkins-Traub method of root-finding within an interface of a procedure of the ParaMonte library. More...
type(laguerre_type), parameter	pm_polynomial::laguerre = laguerre_type()
	This is a scalar parameter object of type laguerre_type that is exclusively used to signify the use of Laguerre method of root-finding within an interface of a procedure of the ParaMonte library. More...