The city of Los Angeles has offered a $1 million reward for any details or clues that help lead to the capture of Christopher Jordan Dorner, an ex-LAPD officer accused of killing three people in a vendetta against his former department.

"We will not tolerate anyone undermining the security, the tranquility of our neighborhoods and our communities," Los Angeles Mayor Antonio Villaraigosa said in a CBS News report. "We will not tolerate this reign of terror that has robbed us of the peace of mind that residents of southern California deserve. We will not tolerate this murderer remaining at large."

The $1 million reward is "the largest ever offered to our knowledge," Los Angeles Police Chief Charlie Beck told CNN affiliate KCBS.

In an interview on Sunday, Beck called Dorner a "trained assassin," but said he wouldn't be harmed if he gave himself up.

"If you turn yourself in, then you will be safe and nobody else has to die," he said. "If you don't, if you decide to try to take the life of another Los Angeles police officer or their family member, then you'll have to suffer the consequences."

While the LAPD beefed up security at Sunday night's Grammy Awards show, Villaraigosa said authorities are confident they'll catch Dorner.

"This search is not a matter of if. It's a matter of when," Villaraigosa said. "And I want Christopher Dorner to know that."

Dorner, 33, was fired from the LAPD in 2008 for allegedly making false statements about his field training officer, who he accused of kicking a suspect. The LAPD Board of Rights found that the complaint was false and terminated his employment for making false statements.

Police discovered a multipage manifesto on Dorner’s Facebook page recently that indicates he blames racism and corruption in the department for his removal and vowed to wage "unconventional and asymmetrical warfare" against LAPD officers and their families.

In response to the manifesto, Beck told KCBS, "this is an act -- and make no mistake about it -- of domestic terrorism. This is a man who has targeted those that we entrust to protect the public. His actions cannot go unanswered."

Despite the crimes Dorner is accused of committing, the police chief announced Saturday that the LAPD would re-examine its proceedings against Dorner. The review is "not to appease a murderer," but "to reassure the public that their police department is transparent and fair in all things we do," he said.

"I am aware of the ghosts of the LAPD's past, and one of my biggest concerns is that they will be resurrected by Dorner's allegations of racism within the department," Beck said.

Police have been working extra hours to protect dozens of families in the area who are considered targets, based on Dorner's Facebook manifesto, the Associated Press said. Among those Dorner is suspected of killing is a Riverside police officer.