WPF throw exception from worker thread but continue

I have a scenario where a worker thread performs a task that l开发者_如何学运维ooks like

try
{    
    for()
    {
        functionA();
        functionB(); 
    }
}
catch(Exception ex)
{
    throw new Exception("Message");    
}

I'm basically re-throwing the exception so that when the worker completes, the UI thread will receive the exception. Now, if an exception occurs in functionA I'd like to throw the exception but continue the loop and not stop. How can I achieve this?

edit: If it isn't clear, this is so that the UI can be notified that an exception has occurred but not stop the worker

Something like this:

List<Exception> errorsLog = new List<Exception>();

for()
{
    try
    {
       functionA();
    }
    catch(Exception e) {
       errorsLog.Add(e);
    }

    try
    {
       functionB();
    }
    catch(Exception e) {
       errorsLog.Add(e);
    }
}

if (errorsLog.Count > 0) {
   throw new AggregateException(errorsLog);
}

Where AggregateException is your custom exception that contains a list of other exceptions.