Function_minorization: Function Minorization

In MMAD: An R Package of Minorization-Maximization Algorithm via the Assembly--Decomposition Technology

Function Minorization

Description

This function allows the user to minorize the target function f(\boldsymbol{\theta}) at a given point \boldsymbol{\theta}^*.

Usage

Function_minorization(Function_obj, input)

Arguments

Function_obj	An R list depicting the target function.
input	The value \boldsymbol{\theta}^* at which the target function is minorized.

Value

An R list recording the surrogate function S(\boldsymbol{\theta}|\boldsymbol{\theta}^*)=S_C+\sum_{i=1}^pS_i(\theta_{i}|\boldsymbol{\theta}^*) where

• the first p objects (named Surrogate_1, Surrogate_2, ..., Surrogate_p) record S_1(\theta_{1}|\boldsymbol{\theta}^*),\ldots,S_p(\theta_{p}|\boldsymbol{\theta}^*);

• the final object (named Constant) records the constant S_C.

MMAD documentation built on March 12, 2026, 5:07 p.m.