Does the California Supreme Court have any authority to require a judge or governor to provide an articulated reason to support a decision?

^13. See People v. Martin (1986) 42 Cal.3d 437, 449-450 ["a requirement of articulated reasons to support a given decision serves a number of interests: it is frequently essential to meaningful review; it acts as an inherent guard against careless decisions, insuring the judge [or Governor] analyzes the problem and recognizes the grounds for his decision; and it aids in preserving public confidence in the decision-making process by helping to persuade the parties and the public that the decision-making is careful, reasoned and equitable"].)