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This feature will require some custom coding. It should be possible if you know some PHP and how to use WordPress hooks.
1) You need to add an INPUT field that will serve as the keywords field to the search form template file. You can do it using a hook or by inserting it directly to the template file. Give the field a name attribute such as gmw_keywords. The value of the field will pass to the URL using the name attribute you provided.
2) Write a custom script that will filter the search results on form submission. On form submission you can get the keywords value via the URL. For example $_GET[‘gmw_keywords’] or whatever name attribute you provided the input field with.
Now, your custom script really depends on what you need to filter ( user name, user meta, user role and so on ).
You can use the hook