From 10d145414d4b6cdce4731724f7f42704bb1843ff Mon Sep 17 00:00:00 2001 From: mmdapl <2237221210@qq.com> Date: Sat, 20 Mar 2021 17:05:28 +0800 Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E7=9F=A9=E9=98=B5=E7=9A=84?= =?UTF-8?q?=E5=8E=8B=E7=BC=A9=E5=AD=98=E5=82=A8?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 数据结构/栈和队列/.DS_Store | Bin 6148 -> 6148 bytes 数据结构/栈和队列/8.特殊矩阵的压缩存储.md | 67 ++++++++++++++++++ .../栈和队列/images/稀疏矩阵的存储变换.png | Bin 0 -> 29416 bytes 3 files changed, 67 insertions(+) create mode 100644 数据结构/栈和队列/8.特殊矩阵的压缩存储.md create mode 100644 数据结构/栈和队列/images/稀疏矩阵的存储变换.png diff --git a/数据结构/栈和队列/.DS_Store b/数据结构/栈和队列/.DS_Store index 271437292d7e3de169f6b4841c3706c19403b440..2e8557e9e3231c4488b0aa4cd000fcae0a96e3d6 100644 GIT binary patch delta 44 zcmZoMXffDO%gV~bV9ua7*_hpU@=8|T$z7~_*i3a43=K>t`>;KmSTc7rJI7ys02reU Al>h($ delta 36 scmZoMXffDO%Q|^0>q$0CQym3E!^tgd<HTH?bN|EL*slo#QV*0O{xqqyPW_ diff --git a/数据结构/栈和队列/8.特殊矩阵的压缩存储.md b/数据结构/栈和队列/8.特殊矩阵的压缩存储.md new file mode 100644 index 0000000..9ba49ae --- /dev/null +++ b/数据结构/栈和队列/8.特殊矩阵的压缩存储.md @@ -0,0 +1,67 @@ + + + +## 特殊矩阵的压缩存储 + +> 这部分知识我个人觉得以了解为主,复习、学习的时候还是要以前面的部分为主! + +矩阵在`计算机图形学`、`工程计算`中占有举足轻重的地位。 + + +### 数组的定义 + +`数组`: 由n(n≥1)个相同类型的数据元素构成的有限序列。 + +每个数据元素称为一个数组元素,同时每个元素受n个线性关系的约束,**每个元素在n个线性关系中的序号称为元素的`下标`**,称为该数组为n的数组。 + +数组和线性表的关系: +- 数组是线性表的推广。 +- 数组一旦被定义,维数和维界就不再改变。 +- 除了结构的初始化和销毁外,数组只会有存取元素和修改元素的操作。 + + +一维数组可以看做是一个线性表 + +二维数组可以看做元素是线性表的线性表 + +.... + + +### 矩阵的压缩存储 + + +`压缩存储`:多个值相同的元素只分配一个存储空间,对零元素不分配存储空间---->节省存储空间。 + +`特殊矩阵`:具有很多相同矩阵元素或零元素,并且这些相同矩阵元素或零元素的分布有一定规律性的矩阵。 + +- 对称矩阵 +- 上、下三角矩阵 +- 对角矩阵(带状矩阵) +- .... + +这里如果学过线性代数这本书,其实也就很好理解(赶紧去把数学知识捡起来鸭,噗呲哈哈啊哈) + +`稀疏矩阵`:矩阵元素个数s相对于矩阵中非零元素的个数t来说非常多、差距非常大,即`s>>t的矩阵`可以叫`稀疏矩阵` + + +注意: + +- 常规方法来存储稀疏矩阵,会想当浪费存储空间,所以稀疏矩阵只需要存储非零元素 +- 通常非零元素的分布是没有规律的,除了存储非零元素外,还需要存储元素所在位置的行和列 +- 寻相互存储三元组 `<行标,列表,值>` + + + +![](/数据结构/栈和队列/images/稀疏矩阵的存储变换.png) + +三元组的结点存储了行标(row)、列表(col)、值(value)三种信息,是主要用来存储稀疏矩阵的一种数据结构。 + + 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