** India's bank stocks .NSEBANK rise 1.3% to six-week high of 57,292.35 points
** All 14 index constituents in the green
** Private banks .NIFPVTBNK and state-owned lenders .NIFTYPSU gain 1.2% and 1.1%, respectively
** India's central bank partially rolls back restrictions on rupee derivative trades that were put in place earlier this month to arrest the currency's slide
** ICICI Securities says this will provide operational relief to banks by restoring flexibility in hedging and treasury management, particularly for managing client exposures and offshore derivative positions
** ICICI Bank ICBK.NS surges about 2%, extending Monday's 0.7% rise, on earnings optimism
** HDFC Bank HDBK.NS, India's largest private lender, rises 1.3%; stock fell 0.6% on Monday after Q4 results on soft net interest margins
(Reporting by Vivek Kumar M)
((VivekKumar.M@thomsonreuters.com;))