Jordan Block

Some articles on jordan block, jordan, block, blocks, jordan blocks:

Jordan Matrix
... In the mathematical discipline of matrix theory, a Jordan block over a ring (whose identities are the zero 0 and one 1) is a matrix composed of 0 ... The concept is named after Camille Jordan Every Jordan block is thus specified by its dimension n and its eigenvalue and is indicated as ... Any block diagonal matrix whose blocks are Jordan blocks is called a Jordan matrix using either the or the “” symbol, the block diagonal square matrix ...
Jordan Normal Form - Complex Matrices
... In general, a square complex matrix A is similar to a block diagonal matrix where each block Ji is a square matrix of the form So there exists an invertible matrix P such that P-1AP = J is such that ... J is called the Jordan normal form of A ... Each Ji is called a Jordan block of A ...
Defective Matrix - Jordan Block
... Any Jordan block of size 2×2 or larger is defective ... For example, the n × n Jordan block, has an eigenvalue, λ, with multiplicity n, but only one distinct eigenvector ...

Famous quotes containing the words block and/or jordan:

    It is, in both cases, that a spiritual life has been imparted to nature; that the solid seeming block of matter has been pervaded and dissolved by a thought; that this feeble human being has penetrated the vast masses of nature with an informing soul, and recognised itself in their harmony, that is, seized their law. In physics, when this is attained, the memory disburthens itself of its cumbrous catalogues of particulars, and carries centuries of observation in a single formula.
    Ralph Waldo Emerson (1803–1882)

    As a child I was taught that to tell the truth was often painful. As an adult I have learned that not to tell the truth is more painful, and that the fear of telling the truth—whatever the truth may be—that fear is the most painful sensation of a moral life.
    —June Jordan (b. 1936)