Silver Lake, a US-based private equity firm focused on leveraged buyout and growth capital investments in (primarily large-cap) technology companies, has filed documents with the U.S. Securities and Exchange Commission indicating its intent to raise a private equity fund to the tune of (at least) $7.5 billion.

The fund, which is called ‘Silver Lake Partners IV’, hasn’t closed yet and the fundraising efforts may end up yielding more from its limited partners. According to Wikipedia, the private investment firm started raising its third fund back in 2006 and ultimately collected $9.6 billion of capital for the fund in 2007.

A December 2011 Bloomberg report said Silver Lake planned to set a preliminary target of $8.5 billion to $10 billion for its fourth fund, citing someone in the know.

According to its website, the firm currently has approximately $14 billion in assets under management.

Founded in 1999, Silver Lake’s most notable investments to date include Skype, Zynga, Groupon, Go Daddy, Alibaba, Avaya, Sabre Holdings (Travelocity), Seagate, Gartner, NASDAQ, SunGard, Business Objects and Flextronics.

In a recent deal, Silver Lake acquired a 31 percent stake in the William Morris Endeavor (WME) Entertainment talent agency, which represents folks like Matt Damon, Barbra Streisand and Justin Timberlake.

Reuters recently reported that the firm is mulling an investment in Monster.

Silver Lake is based in Menlo Park, California.