关于YALMIP中求解器的选择问题

时间：2021-03-30 20:28:29 阅读：57 评论：0 收藏：0 [点我收藏+]

在2020-franklin-曾教授-二次负定一文中，使用LMItool进行设计，求解时间长。

使用YALMIP进行描述，系统表述方便，采用sedemi无法得到正常接，求助j教授。回复如下

You would have to define "not satisfactory". since you‘re only solving a feasibility problem, any (almost) feasible solution is all you can ask for

Using mosek the solution appears perfectly fine

sol =

struct with fields:

yalmipversion: ‘20200930‘

matlabversion: ‘9.4.0.813654 (R2018a)‘

yalmiptime: 0.3952

solvertime: 0.6788

info: ‘Successfully solved (MOSEK)‘

problem: 0

check(LMIs)

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

| #1| Matrix inequality| 2.0892e-05| 1.974e-15|

| #2| Matrix inequality| 0.0025096| 5.6753e-13|

| #3| Matrix inequality| 0.0026662| 2.3893e-14|

| #4| Matrix inequality| 0.0042042| 2.9447e-12|

| #5| Matrix inequality| 0.0020883| 4.2393e-12|

| #6| Matrix inequality| 1.4218e-06| 5.053e-13|

| #7| Matrix inequality| 1.0342e-06| 6.0756e-13|

| #8| Matrix inequality| 2.0783e-06| 1.0214e-15|

| #9| Matrix inequality| 1.2902e-06| 1.7394e-15|

| #10| Matrix inequality| 2.1999e-05| -2.4086e-21|

| #11| Matrix inequality| 1.062e-05| 9.73e-16|

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

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结论：对于可行性问题，要求得到几乎所有的可行解，因此建议使用mesek求解器，得到与原文一致的结果。

原文：https://www.cnblogs.com/wan2-0/p/14597888.html

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