<p> <span lang="EN-US" style="FONT-FAMILY: 宋体; FONT-SIZE: 12pt; FONT-WEIGHT: normal;"><span style="mso-spacerun: yes;"> <span style="FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;"><font face="宋体">那位大哥大姐帮帮忙吧(用MATLAB)谢谢</font></span></span></span></p><p><span lang="EN-US" style="FONT-FAMILY: 宋体; FONT-SIZE: 12pt; FONT-WEIGHT: normal;"><span style="mso-spacerun: yes;"><span style="FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;"></span></span></span></p><p><span lang="EN-US" style="FONT-FAMILY: 宋体; FONT-SIZE: 12pt; FONT-WEIGHT: normal;"><span style="mso-spacerun: yes;"><span style="FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">用豪斯荷尔德<span lang="EN-US">(householder)变换对一般m*n阶的实矩阵进行QR分解,由于2范数在正交变换Q下保持不变,即<span style="mso-text-raise: -9.0pt;"><shapetype id="_x0000_t75">
<stroke></stroke><formulas><f></f><f></f><f></f><f></f><f></f><f></f><f></f><f></f><f></f><f></f><f></f><f></f></formulas><path></path><lock></lock></shapetype><shape id="_x0000_i1025" style="HEIGHT: 23.25pt; WIDTH: 131.25pt;"><imagedata></imagedata></shape></span>,因此我们可以通过QR分解简化最小二乘问题。<p></p></span></span><p align="left" class="MsoNormal" style="TEXT-ALIGN: left; TEXT-INDENT: 36pt;"><u style="text-underline: dotted-heavy;"><span style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">实验要求</span></u><span style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">:实验包含三个程序<span lang="EN-US"><p></p></span></span></p><p align="left" class="MsoNormal" style="MARGIN-LEFT: 72pt; TEXT-ALIGN: left; TEXT-INDENT: -36pt; tab-stops: list 72.0pt; mso-list: l0 level1 lfo4;"><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">1、<span style="FONT: 7pt "Times New Roman";"> </span></span><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">householder变换<span style="mso-spacerun: yes;"> </span>[v,b]=house(x)<p></p></span></p><p align="left" class="MsoNormal" style="MARGIN-LEFT: 72pt; TEXT-ALIGN: left; TEXT-INDENT: -36pt; tab-stops: list 72.0pt; mso-list: l0 level1 lfo4;"><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 14.0pt;">2、<span style="FONT: 7pt "Times New Roman";"> </span></span><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">QR分解<span style="mso-spacerun: yes;"> </span>[Q,R]=qrfenjie(A) (<u style="text-underline: dotted-heavy;">此文件名不能建为qr</u>)</span><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 14.0pt;"><p></p></span></p><p align="left" class="MsoNormal" style="MARGIN-LEFT: 72pt; TEXT-ALIGN: left; TEXT-INDENT: -36pt; tab-stops: list 72.0pt; mso-list: l0 level1 lfo4;"><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt;">3、<span style="FONT: 7pt "Times New Roman";"> </span></span><span style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">求出最小二乘问题<span lang="EN-US"><span style="mso-spacerun: yes;"> </span>y=leastsquare (A,b)</span></span><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt;"><p></p></span></p><span style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt; mso-font-kerning: 1.0pt; mso-hansi-font-family: 宋体; mso-bidi-font-family: "Times New Roman"; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">其中第二个函数要调用第一个函数,第三个函数调用第二个函数。以一个最小二乘问题</span><i><span lang="EN-US" style="COLOR: black; FONT-FAMILY: "Times New Roman"; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt; mso-fareast-font-family: 楷体_GB2312; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">Ax</span></i><span lang="EN-US" style="COLOR: black; FONT-FAMILY: "Times New Roman"; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt; mso-fareast-font-family: 楷体_GB2312; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">=<i>b</i></span><span style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt; mso-font-kerning: 1.0pt; mso-hansi-font-family: 宋体; mso-bidi-font-family: "Times New Roman"; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">的<u style="text-underline: dotted-heavy;">具体例子</u><span lang="EN-US"><span style="mso-text-raise: -5.0pt;"><shape id="_x0000_i1026" style="HEIGHT: 18pt; WIDTH: 90pt;">
<imagedata></imagedata></shape></span>且列满秩,利用如上三个函数得出最小二乘问题的解。</span></span></span></span></p><shape id="_x0000_i1025" style="HEIGHT: 23.25pt; WIDTH: 131.25pt;"><imagedata></imagedata></shape>,因此我们可以通过QR分解简化最小二乘问题。<p></p><p align="left" class="MsoNormal" style="TEXT-ALIGN: left; TEXT-INDENT: 36pt;"><u style="text-underline: dotted-heavy;"><span style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">实验要求</span></u><span style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">:实验包含三个程序<span lang="EN-US"><p></p></span></span></p><p align="left" class="MsoNormal" style="MARGIN-LEFT: 72pt; TEXT-ALIGN: left; TEXT-INDENT: -36pt; tab-stops: list 72.0pt; mso-list: l0 level1 lfo4;"><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">1、<span style="FONT: 7pt "Times New Roman";"> </span></span><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">householder变换<span style="mso-spacerun: yes;"> </span>[v,b]=house(x)<p></p></span></p><p align="left" class="MsoNormal" style="MARGIN-LEFT: 72pt; TEXT-ALIGN: left; TEXT-INDENT: -36pt; tab-stops: list 72.0pt; mso-list: l0 level1 lfo4;"><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 14.0pt;">2、<span style="FONT: 7pt "Times New Roman";"> </span></span><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">QR分解<span style="mso-spacerun: yes;"> </span>[Q,R]=qrfenjie(A) (<u style="text-underline: dotted-heavy;">此文件名不能建为qr</u>)</span><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 14.0pt;"><p></p></span></p><p align="left" class="MsoNormal" style="MARGIN-LEFT: 72pt; TEXT-ALIGN: left; TEXT-INDENT: -36pt; tab-stops: list 72.0pt; mso-list: l0 level1 lfo4;"><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt;">3、<span style="FONT: 7pt "Times New Roman";"> </span></span><span style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt;">求出最小二乘问题<span lang="EN-US"><span style="mso-spacerun: yes;"> </span>y=leastsquare (A,b)</span></span><span lang="EN-US" style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt;"><p></p></span></p><span style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt; mso-font-kerning: 1.0pt; mso-hansi-font-family: 宋体; mso-bidi-font-family: "Times New Roman"; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">其中第二个函数要调用第一个函数,第三个函数调用第二个函数。以一个最小二乘问题</span><i><span lang="EN-US" style="COLOR: black; FONT-FAMILY: "Times New Roman"; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt; mso-fareast-font-family: 楷体_GB2312; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">Ax</span></i><span lang="EN-US" style="COLOR: black; FONT-FAMILY: "Times New Roman"; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt; mso-fareast-font-family: 楷体_GB2312; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">=<i>b</i></span><span style="COLOR: black; FONT-FAMILY: 楷体_GB2312; FONT-SIZE: 12pt; mso-bidi-font-size: 16.0pt; mso-font-kerning: 1.0pt; mso-hansi-font-family: 宋体; mso-bidi-font-family: "Times New Roman"; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">的<u style="text-underline: dotted-heavy;">具体例子</u><span lang="EN-US"><span style="mso-text-raise: -5.0pt;"><shape id="_x0000_i1026" style="HEIGHT: 18pt; WIDTH: 90pt;">
<imagedata></imagedata></shape></span>且列满秩,利用如上三个函数得出最小二乘问题的解。</span></span> |