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add documentation for the intersection between an Hpolytope and an el…
…lipsoid
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Apostolos Chalkis
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Oct 31, 2023
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\name{PolytopeIntersectEllipsoid} | ||
\alias{PolytopeIntersectEllipsoid} | ||
\title{An exposed class to represent an intersection between an H-polytope and an ellipsoid.} | ||
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\description{ | ||
An intersection between of an H-polytope, defined by a set of linear inequalities, or a matrix A and an \eqn{m}-dimensional vector b s.t., \eqn{x, Ax\leq b}, and an ellipsoid defined by a positive definite matrix E s.t., \eqn{x, x^TEx \leq 1}.}. | ||
} | ||
\section{Fields}{ | ||
\itemize{ | ||
\item{\code{A} }{ \eqn{m \times d} matrix A} | ||
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\item{\code{b} }{ \eqn{m}-dimensional vector b} | ||
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\item{\code{E} }{ \eqn{d \times d} positive definite matrix E} | ||
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\item{\code{type} }{ An integer that declares the representation of the convex body. For the intersection between an H-polytope and an ellipsoid the default value is 6. It has not be given to the constructor.} | ||
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\item{\code{dimension} }{ An integer that declares the dimension of the convex body. It has not be given to the constructor.} | ||
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\item{\code{volume} }{ The volume of the convex body, if it is known.} | ||
}} | ||
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\docType{class} | ||
\name{Rcpp_PolytopeIntersectEllipsoid} | ||
\alias{Rcpp_PolytopeIntersectEllipsoid-class} | ||
\alias{[,Rcpp_PolytopeIntersectEllipsoid-method} | ||
\alias{[,Rcpp_PolytopeIntersectEllipsoid,ANY,ANY,ANY-method} | ||
\alias{$<-,Rcpp_PolytopeIntersectEllipsoid-method} | ||
\alias{$,Rcpp_PolytopeIntersectEllipsoid-method} | ||
\alias{filepaths<-,Rcpp_PolytopeIntersectEllipsoid-method} | ||
\title{ | ||
An \code{Rcpp} class to represent an intersection between an H-polytope and an ellipsoid, exposed to \code{R} via modules. | ||
} | ||
\description{ | ||
An intersection between of an H-polytope, defined by a set of linear inequalities, or a matrix A and an \eqn{m}-dimensional vector b s.t., \eqn{x, Ax\leq b}, and an ellipsoid defined by a positive definite matrix E s.t., \eqn{x, x^TEx \leq 1}. }. | ||
} | ||
\details{ | ||
\describe{ | ||
\item{\code{A} }{ \eqn{m \times d} matrix A} | ||
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\item{\code{b} }{ \eqn{m}-dimensional vector b} | ||
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\item{\code{E} }{ \eqn{d \times d} positive definite matrix E} | ||
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\item{\code{type} }{ An integer that declares the representation of the convex body. For the intersection between an H-polytope and an ellipsoid the default value is 6. It has not be given to the constructor.} | ||
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\item{\code{dimension} }{ An integer that declares the dimension of the convex body. It has not be given to the constructor.} | ||
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\item{\code{volume} }{ The volume of the convex body, if it is known.} | ||
} | ||
} | ||
\keyword{internal} | ||
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