WordPress PHP Display Author Edit Profile Link
Displays only if the user logged in is the user that is author for that post.

//author edit profile link
global $current_user; get_currentuserinfo();
// var_dump($curauth);
// echo $current_user->ID . ' = ' . $post->post_author;
if ($current_user->ID == $post->post_author) { ?>
<a href='<?php bloginfo(url);?>/wp-admin/profile.php'>Edit your profile</a>
<?php } ?>
global $current_user; get_currentuserinfo();
// var_dump($curauth);
// echo $current_user->ID . ' = ' . $post->post_author;
if ($current_user->ID == $post->post_author) { ?>
<a href='<?php bloginfo(url);?>/wp-admin/profile.php'>Edit your profile</a>
<?php } ?>
See a demo: jQuery Blog