Commit JT 092319 (56e1a052) · Commits · 郑智淋 / lammps

doc/src/Eqs/norm_max.jpg

0 → 100644

+9.25 KiB

Loading image diff...

0 → 100644

+15 −0

Original line number	Diff line number	Diff line
		\documentclass[preview]{standalone}
		\usepackage{varwidth}
		\usepackage[utf8x]{inputenc}
		\usepackage{amsmath, amssymb, graphics, setspace}

		\begin{document}
		\begin{varwidth}{50in}
		\begin{equation}
		% \left\| \left\| \vec{F} \right\| \right\|_2
		\|\| \vec{F} \|\|_{max}
		= {\rm max}\left(\|\|\vec{F}_1\|\|, \cdots, \|\|\vec{F}_N\|\|\right)
		\nonumber
		\end{equation}
		\end{varwidth}
		\end{document}

0 → 100644

+5.91 KiB

Loading image diff...

0 → 100644

+15 −0

Original line number	Diff line number	Diff line
		\documentclass[preview]{standalone}
		\usepackage{varwidth}
		\usepackage[utf8x]{inputenc}
		\usepackage{amsmath, amssymb, graphics, setspace}

		\begin{document}
		\begin{varwidth}{50in}
		\begin{equation}
		% \left\| \left\| \vec{F} \right\| \right\|_2
		\|\| \vec{F} \|\|_{2}
		= \sqrt{\vec{F}_1+ \cdots + \vec{F}_N}
		\nonumber
		\end{equation}
		\end{varwidth}
		\end{document}

+13 −5

Original line number	Diff line number	Diff line
		@@ -18,8 +18,9 @@ keyword = {dmax} or {line} or {norm} or {alpha_damp} or {discrete_factor}
		max = maximum distance for line search to move (distance units)
		{line} value = {backtrack} or {quadratic} or {forcezero} or {spin_cubic} or {spin_none}
		backtrack,quadratic,forcezero,spin_cubic,spin_none = style of linesearch to use
		{norm} value = {euclidean} or {max}
		euclidean,max = style of norm to use
		{norm} value = {two} or {max}
		two = Euclidean two-norm (length of 3N vector)
		max = max value of across all 3-vectors
		{alpha_damp} value = damping
		damping = fictitious Gilbert damping for spin minimization (adim)
		{discrete_factor} value = factor
		@@ -74,9 +75,16 @@ could move in the gradient direction to reduce forces further.
		The choice of a norm can be modified for the min styles {cg}, {sd},
		{quickmin}, {fire}, {spin}, {spin/cg} and {spin/lbfgs} using
		the {norm} keyword.
		The default {euclidean} norm computes the 2-norm (length) of the
		global force vector. The {max} norm computes the maximum value
		of the 2-norms across all forces in the system.
		The default {two} norm computes the 2-norm (Euclidean length) of the
		global force vector:

		:c,image(Eqs/norm_two.jpg)

		The {max} norm computes the length of the 3-vector force
		for each atom (2-norm), and takes the maximum value of those accross
		all atoms

		:c,image(Eqs/norm_max.jpg)

		Keywords {alpha_damp} and {discrete_factor} only make sense when
		a "min_spin"_min_spin.html command is declared.