Count multiple conditions array only works with 1 value

I have a file (attached) of articles with titles and multiple authors (if more than one contributed to the article).
I need to count the number of times one author co-authored an article with another author.
I thought a table/array of all author names vertically as table row names with same names across the top as column labels and the number of times they've co-authored in the cells beneath.

Perhaps I need a macro (not sure how to do that) but I thought an array formula might work. It works for the first author but not thereafter.
Suggestions are greatly appreciated!

My mistake in explaining perhaps:
I need to examine rows 2:1038 and output the data on rows F1040:acd1793
After some additional googling, I am thinking some combination of INDEX and MATCH in an array formula?

JBeaucaire,
I entered faux data in a few of the cells in the output range.
An author will co-author with themselves the total number of times they are listed in the data range. They will co-author with other authors as elaborated in the data range.
Does this help?

I think you are answering a different question.
My problem is: how to count the # of times each author co-authors with another author.
The output is in the "table/array" starting on B1040 using the data from above in rows 2 to 1038.
Updated sample file attached with a few cells of data entered in the cells to the right of row B1040.
I appreciate your patience!

I've uploaded the file again; I had to delete a lot of columns to meet file size requirement for uploading.
I hope it makes sense.
Thanks!
Bob

THANK YOU SOOOO MUCH!!!!!!
I found it won't give correct data if the titles aren't in alpha order but once I figured that out all is good.
It took it over 5 minutes to run so it was doing a lot of crunching.
I very much appreciate your efforts on my behalf.
Best,
Bob