Extending Scalar Functions To Matrix Functions
There are several techniques for lifting a real function to a square matrix function such that interesting properties are maintained. All of the following techniques yield the same matrix function, but the domains on which the function are defined may differ.
Read more about this topic: Matrix Function
Famous quotes containing the words extending, functions and/or matrix:
“The radiance was that of the full, setting, and blood-red moon, which now shone vividly through that once barely- discernible fissure,... extending from the roof of the building, in a zigzag direction, to the base. While I gazed, this fissure rapidly widened.”
—Edgar Allan Poe (1809–1849)
“The mind is a finer body, and resumes its functions of feeding, digesting, absorbing, excluding, and generating, in a new and ethereal element. Here, in the brain, is all the process of alimentation repeated, in the acquiring, comparing, digesting, and assimilating of experience. Here again is the mystery of generation repeated.”
—Ralph Waldo Emerson (1803–1882)
““The matrix is God?”
“In a manner of speaking, although it would be more accurate ... to say that the matrix has a God, since this being’s omniscience and omnipotence are assumed to be limited to the matrix.”
“If it has limits, it isn’t omnipotent.”
“Exactly.... Cyberspace exists, insofar as it can be said to exist, by virtue of human agency.””
—William Gibson (b. 1948)