Matrix Function - Extending Scalar Functions To Matrix Functions

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 English masses are lovable: they are kind, decent, tolerant, practical and not stupid. The tragedy is that there are too many of them, and that they are aimless, having outgrown the servile functions for which they were encouraged to multiply. One day these huge crowds will have to seize power because there will be nothing else for them to do, and yet they neither demand power nor are ready to make use of it; they will learn only to be bored in a new way.
    Cyril Connolly (1903–1974)

    As all historians know, the past is a great darkness, and filled with echoes. Voices may reach us from it; but what they say to us is imbued with the obscurity of the matrix out of which they come; and try as we may, we cannot always decipher them precisely in the clearer light of our day.
    Margaret Atwood (b. 1939)