Chris Gayle admits that the West Indies' innings-and-65-run defeat to Australia in Brisbane was "downright embarrassing" but insists he's still the right man to captain the side.

The islanders went down inside three days on a decent batting surface, leading some to suggest that Gayle should step down from his post, but the Jamaican has responded to the doubters through his column in the Courier Mail.

"Times are tough but I'm determined to be the strong captain the team needs right now," he wrote. "Make no bones about it - our loss in Brisbane was not only disappointing but it was also downright embarrassing.

"When you have a bad loss like this, it's to be expected that a lot of people are going to speculate over my captaincy. Some say I'm not the right person for the job.

"I've got a message for those people - I'm not going anywhere. I have been chosen as captain and it's a job I will continue to do to the best of my ability.

"My heart is in it and I feel really strongly that I am the right man to lead the West Indies through this challenging period."

Former Australia captain Kim Hughes has called the West Indies "an embarrassment to themselves" and they now head to Adelaide with concerns that another one-sided Test will leave the Australian public disinterested in the series, if they haven't tuned out already.

Brian Lara says the team should look to 19-year-old Adrian Barath, who scored a century on his Test debut in Brisbane, for inspiration and Gayle agrees with the former batting great.

"An important thing for us will be to use Adrian Barath's wonderful century as a motivating force," Gayle continued.

"That is a huge positive for the team - a 19-year-old getting a Test century against Australia on his debut. If a teenager in his first Test can do that sort of thing, it should drive the rest of our batsmen to produce some big scores."

Gayle also used his column to have a pop at the Umpire Decision Review System after he was widely criticised for incorrectly using a referral in both West Indies innings.

"The new technology they have put in place still makes mistakes," he insisted. "I also don't agree with the decision-making process. If there is a line-ball decision on the video review, they send it back to the standing umpire to make a decision.

"But the umpire is automatically going to stick by his original decision because he doesn't want to make a goose of himself on the field. That just doesn't make sense to me."