Rossini Sudoku Puzzle (Fun With Sudoku #29)

Here is another Sudoku which I created for the practice of the Indian Sudoku Team for preparations for the World Sudoku Championship 2011. 
Update on 03rd Feb 2017: There was one arrow missing in the original image in R1. Thanks to Jerome Lacoste for making me aware of this error. Now I have updated this post with the corrected image.

I am re-publishing this Rossini Sudoku in the Fun With Sudoku Series as 29th Sudoku in this series. Can you solve this Rossini Sudoku puzzle?

Rules of Rossini Sudoku

Classic Sudoku Rules apply.  Additionally, the arrows indicate that the nearest three digits in the row (column) are in ascending or descending order (increasing towards the direction the arrow is pointing towards). If there is no arrow outside a row/column, the nearest 3 digits therein cannot be in either ascending or descending order.

Rossini Sudoku (Fun With Sudoku #29)

Rossini Sudoku (Fun With Sudoku #29) Solution

Previous Fun With Sudoku Series Puzzle: Prime Number Sudoku (Fun With Sudoku #28)

Next Fun With Sudoku Series Puzzle: Opposite Edge Sum Sudoku (Fun With Sudoku #30) 

The solution to the Daily Sudoku League puzzle titled Even Killer Sudoku (Daily Sudoku League #72)

Even Killer Sudoku (Daily Sudoku League #72) Solution