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编写复杂线性方程组时的对齐

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编写复杂线性方程组时的对齐

我有以下代码，可以生成如图所示的 pdf。但是，它缺少我想要的一些对齐。我知道有一个 systeme 包可能有用，但我发现它不适用于这种情况。那么如何获得我想要的，如红笔所示？

在此处输入图片描述

\documentclass[english]{article}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amsmath}
\usepackage{babel}
\usepackage{pdflscape}
\usepackage{systeme}

\begin{document}
\begin{landscape}
\begin{align}\label{eq:laplace-qem}
    (L_{ijr}^{T}L_{ijr}+\left[\begin{array}{cc}q_{11} & 0\\0 & 0 \end{array}\right])\mathbf{v}_{er,x}
    +\left[\begin{array}{cc}q_{12} & 0\\0 & 0 \end{array}\right]\mathbf{v}_{er,y}
    +\left[\begin{array}{cc}q_{13} & 0\\0 & 0 \end{array}\right]\mathbf{v}_{er,z}
    +\left[\begin{array}{c}v_{e,g}q_{14}+q_{15}\\0\end{array}\right]
    +L_{ijr}^{T}b_{x} = 0 \\
    \left[\begin{array}{cc}q_{12} & 0\\0 & 0\end{array}\right]\mathbf{v}_{er,x}
    +(L_{ijr}^{T}L_{ijr}+\left[\begin{array}{cc}q_{22} & 0\\0 & 0\end{array}\right])\mathbf{v}_{er,y}
    +\left[\begin{array}{cc}q_{23} & 0\\0 & 0\end{array}\right]\mathbf{v}_{er,z}
    +\left[\begin{array}{c}v_{e,g}q_{24}+q_{25}\\0\end{array}\right]
    +L_{ijr}^{T}b_{y} = 0 \\
    \left[\begin{array}{cc}q_{13} & 0\\0 & 0\end{array}\right]\mathbf{v}_{er,x}
    +\left[\begin{array}{cc}q_{23} & 0\\0 & 0\end{array}\right]\mathbf{v}_{er,y}
    +(L_{ijr}^{T}L_{ijr}+\left[\begin{array}{cc}q_{33} & 0\\0 & 0\end{array}\right])\mathbf{v}_{er,z}
    +\left[\begin{array}{c}v_{e,g}q_{34}+q_{35}\\0\end{array}\right]
    +L_{ijr}^{T}b_{z} = 0 \\
    \left[\begin{array}{cc}q_{14} & 0\end{array}\right]\mathbf{v}_{er,x}
    +\left[\begin{array}{cc}q_{24} & 0\end{array}\right]\mathbf{v}_{er,y}
    +\left[\begin{array}{cc}q_{34} & 0\end{array}\right]\mathbf{v}_{er,z}
    +q_{44}v_{e,g}
    +q_{45} = 0
\end{align}
\end{landscape}

\end{document}

答案1

要删除公式编号，请使用环境align*。要在某些位置对齐，请使用符号&。您可以查看amsmath软件包的第 4 页文档查看如何对齐不同方程式的示例。我还借此机会插入\left(并根据数组\right)设置正确的大小。查看更新的示例，该示例可满足您的要求。()

\documentclass[english]{article}
\usepackage[T1]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{amsmath}
\usepackage{babel}
\usepackage{pdflscape}
\usepackage{systeme}

\begin{document}
\begin{landscape}
\begin{align*}\label{eq:laplace-qem}
    \left(L_{ijr}^{T}L_{ijr}+\left[\begin{array}{cc}q_{11} & 0\\0 & 0 \end{array}\right]\right)&\mathbf{v}_{er,x}&
    +\left[\begin{array}{cc}q_{12} & 0\\0 & 0 \end{array}\right]&\mathbf{v}_{er,y}&
    +\left[\begin{array}{cc}q_{13} & 0\\0 & 0 \end{array}\right]&\mathbf{v}_{er,z}&
    +\left[\begin{array}{c}v_{e,g}q_{14}+q_{15}\\0\end{array}\right]
    +L_{ijr}^{T}b_{x} = 0 \\
    \left[\begin{array}{cc}q_{12} & 0\\0 & 0\end{array}\right]&\mathbf{v}_{er,x}&
    +\left(L_{ijr}^{T}L_{ijr}+\left[\begin{array}{cc}q_{22} & 0\\0 & 0\end{array}\right]\right)&\mathbf{v}_{er,y}&
    +\left[\begin{array}{cc}q_{23} & 0\\0 & 0\end{array}\right]&\mathbf{v}_{er,z}&
    +\left[\begin{array}{c}v_{e,g}q_{24}+q_{25}\\0\end{array}\right]
    +L_{ijr}^{T}b_{y} = 0 \\
    \left[\begin{array}{cc}q_{13} & 0\\0 & 0\end{array}\right]&\mathbf{v}_{er,x}&
    +\left[\begin{array}{cc}q_{23} & 0\\0 & 0\end{array}\right]&\mathbf{v}_{er,y}&
    +\left(L_{ijr}^{T}L_{ijr}+\left[\begin{array}{cc}q_{33} & 0\\0 & 0\end{array}\right]\right)&\mathbf{v}_{er,z}&
    +\left[\begin{array}{c}v_{e,g}q_{34}+q_{35}\\0\end{array}\right]
    +L_{ijr}^{T}b_{z} = 0 \\
    \left[\begin{array}{cc}q_{14} & 0\end{array}\right]&\mathbf{v}_{er,x}&
    +\left[\begin{array}{cc}q_{24} & 0\end{array}\right]&\mathbf{v}_{er,y}&
    +\left[\begin{array}{cc}q_{34} & 0\end{array}\right]&\mathbf{v}_{er,z}&
    +q_{44}v_{e,g}
    +q_{45} = 0
\end{align*}
\end{landscape}

\end{document}

输出

答案2

这应该是一个array；注意，它能bmatrix给出比矩阵更好的结果array。

\documentclass[english]{article}
\usepackage{amsmath}
\usepackage{babel}
\usepackage{pdflscape,array}

\begin{document}
\begin{landscape}
\[
\begin{array}{
  @{}
  r % coefficient
  @{}
  l % variable
  @{}
  *{2}{>{{}}r@{}l@{}} % two similar groups
  >{{}}r % other terms
  @{}
  >{{}}l % equals 0
}
\left(L_{ijr}^{T}L_{ijr}+\begin{bmatrix}q_{11} & 0\\0 & 0 \end{bmatrix}\right)&\mathbf{v}_{er,x}&
    +\begin{bmatrix}q_{12} & 0\\0 & 0 \end{bmatrix}&\mathbf{v}_{er,y}&
    +\begin{bmatrix}q_{13} & 0\\0 & 0 \end{bmatrix}&\mathbf{v}_{er,z}&
    +\begin{bmatrix}v_{e,g}q_{14}+q_{15}\\0\end{bmatrix}
    +L_{ijr}^{T}b_{x} &= 0 \\[3.5ex]
    \begin{bmatrix}q_{12} & 0\\0 & 0\end{bmatrix}&\mathbf{v}_{er,x}&
    +\left(L_{ijr}^{T}L_{ijr}+\begin{bmatrix}q_{22} & 0\\0 & 0\end{bmatrix}\right)&\mathbf{v}_{er,y}&
    +\begin{bmatrix}q_{23} & 0\\0 & 0\end{bmatrix}&\mathbf{v}_{er,z}&
    +\begin{bmatrix}v_{e,g}q_{24}+q_{25}\\0\end{bmatrix}
    +L_{ijr}^{T}b_{y} &= 0 \\[3.5ex]
    \begin{bmatrix}q_{13} & 0\\0 & 0\end{bmatrix}&\mathbf{v}_{er,x}&
    +\begin{bmatrix}q_{23} & 0\\0 & 0\end{bmatrix}&\mathbf{v}_{er,y}&
    +\left(L_{ijr}^{T}L_{ijr}+\begin{bmatrix}q_{33} & 0\\0 & 0\end{bmatrix}\right)&\mathbf{v}_{er,z}&
    +\begin{bmatrix}v_{e,g}q_{34}+q_{35}\\0\end{bmatrix}
    +L_{ijr}^{T}b_{z} &= 0 \\[3.5ex]
    \begin{bmatrix}q_{14} & 0\end{bmatrix}&\mathbf{v}_{er,x}&
    +\begin{bmatrix}q_{24} & 0\end{bmatrix}&\mathbf{v}_{er,y}&
    +\begin{bmatrix}q_{34} & 0\end{bmatrix}&\mathbf{v}_{er,z}&
    +q_{44}v_{e,g}
    +q_{45} &= 0
\end{array}
\]
\end{landscape}

\end{document}

在此处输入图片描述

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