U.S. equity futures edged higher in early Tuesday trading, while Treasury yields steadied and the dollar slipped, as investors looked to the first of a series of job market data releases that could test the market's early January rally.

Asian shares mostly rose Tuesday, deriving optimism from rising technology stocks on Wall Street, led by Nvidia.Japan's benchmark Nikkei 225 jumped 2.2% to 40,164.53. Australia's S&P/ASX 200 edged up 0.

Stocks are running in premarket trading on Monday. Here's a look at major indexes as of 8:50 a.m. ET: Nasdaq Futures: Up 205.25 (+.95%) S&P 500 Futures: Up 45.25 (+.76%) Dow Jones Futures: Up 184 (+.43%) The big story in premarket trading is that NVIDIA (Nasdaq: NVDA) and chip stocks are up big.