Blackstone Group L.P. (BX), in a letter to the special board committee handling the deal negotiations for Dell Inc. (DELL), cited declining personal-computer sales industry-wide as a factor in its decision to pull out of its bid for Dell, along with concerns about Dell's falling operating income, according to people familiar with the matter.

The letter thanked Founder Michael Dell for his cooperation with Blackstone.

Two people involved in the deal said Blackstone's letter, received Thursday, wasn't expected but nor was it a shock, as activity had quieted in recent days.

The development is a potentially disappointing one for Dell shareholders, who stood to benefit from a bidding war. Blackstone had been putting together a bid for Dell to top the offer from founder Michael Dell and private-equity firm Silver Lake Partners. Blackstone's offer would have kept part of the company in the hands of public shareholders.

Southeastern Asset Management Inc., Dell's largest outside shareholder with more than 8% of its stock, was most vocal against the buyout, saying the $13.65 share price undervalued the company's stock. It also said Mr. Dell and Silver Lake's deal didn't give current shareholders ample chance to participate in any upside of a revival of the company.

Southeastern had been prepared to roll its stake into a Blackstone bid, people familiar with the matter have said. It is still possible Southeastern will vote against the Silver Lake deal.

The Blackstone team was in Texas last week conducting due diligence on the company, and its review raised doubts about the future of Dell's PC business, said people familiar with the matter.

On Thursday evening, a Dell spokeswoman didn't have an immediate comment.

Write to David Benoit at david.benoit@wsj.com

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