10 ENGLISH BOOKS RELATING TO «SUBMATRIX»
Discover the use of
submatrix in the following bibliographical selection. Books relating to
submatrix and brief extracts from same to provide context of its use in English literature.
1
Matrix Algorithms: Volume 1: Basic Decompositions
Submatrices A submatrix of a matrix A is a matrix formed from the intersection of
sets of rows and columns of A. For example, if A is a 4x4 matrix, the matrices 022
« are submatrices of A. The second matrix is called a contiguous submatrix ...
2
Elementary Linear Algebra
For this purpose we define the kth principal submatrix of an n x n matrix A to be
the k x k submatrix consisting of the first k rows and columns of A. For example,
here are the principal submatrices of a general 4x4 matrix: an a4] a12 022 032
a42 ...
3
Matrices and Linear Algebra
RELATlON BETWEEN ElGENVALUES AND MlNORS: PART B 1n (1.5.3) and (
4.5.4), respectively, we defined the terms submatrix and minor of a matrix A. □ (
6.2.5) DEF1N1T1ON (a) Let A be an n X n matrix. Let ii, h, ••,/« be a distinct
integers ...
Hans Schneider, George Phillip Barker, 2012
4
Matrix theory and applications
An-i+f-(i4) < At{i4) < \£A) for A E Mk a principal submatrix of aHermitian A E
Mnand i= 1,..., k, (1.3) where the eigenvalues A* > A« > . . . are arranged in
algebraically decreasing order. These bounds give (1.2) for i = 1 and i = k . In
particular, if A ...
If the selected principal submatrix is in fact a north-west corner of the matrix A,
then it is a leading principal submatrix. So, the above 3x3 principal submatrix is
not leading; the leading principal 3x3 submatrix consists of the first, second, and
...
Karim M. Abadir, Jan R. Magnus, 2005
For A e M,,(F) and k e {1. . . . , n}, A[{1, . . . , k}] is a leading principal submatrix and
A[{k, . . . , n}] is a trailing principal submatrix. It is often convenient to indicate a
submatrix or principal submatrix via deletion, rather than inclusion, of rows or ...
Roger A. Horn, Charles R. Johnson, 2012
7
An Introduction to Maple V
15.7 Functions to Extract Matrices 15.7.1 Submatrices The function submatrix
extracts a submatrix from a given matrix. Given a matrix A and four natural
numbers il,i2,jl,j2, the evaluation of submatrix (A , i 1 . . i2 , j 1 . . j 2) returns the
matrix ...
Jack-Michel Cornil, Philippe Testud, 2001
8
Noncommutative Rings, Group Rings, Diagram Algebras, and ...
Let A C M.n(K) be a quasi- symmetric matrix over a division ring K . Let AQ be the
submatrix of A consisting of the first p rows of A, and let Ai be the pxp principal
submatrix of A0. The following statements are equivalent: (1) All pxp submatrices
...
Surender Kumar Jain, S. Parvathi, Dinesh Khurana, 2008
9
Frontiers of Rock Mechanics and Sustainable Development in ...
We minimize Ua by taking the derivatives, a 12 x 1 submatrix is formed -V[«T0] - (f
,l which is added to \Fi] in the global equations (7). (14) The derivatives are
computed to minimize the strain energy Tie, a 12 * 12 block stiffness submatrix is
...
Wang Sijing, Fu Bingjun, Li Zhonkui, 2001
10
Algebraic Codes on Lines, Planes, and Curves: An Engineering ...
Let R(ı,)denote the submatrix of R with index (0, 0) as the upper left corner and
index (ı,)as the lower right corner. The submatrix R(ı,) is obtained by cropping
the rows of R after row ı and cropping the columns of R after column .
2 NEWS ITEMS WHICH INCLUDE THE TERM «SUBMATRIX»
Find out what the national and international press are talking about and how the term
submatrix is used in the context of the following news items.
SMath Studio: Like Mathcad, only free
Sure enough there's sin and sinh, but you also get sec and sech, sqrt, solve(2), solve(4), submatrix, sum(1), sum(4), and a host of measurement units, amongst ... «BetaNews, Feb 15»
Unconventional Android QM Launcher and new update
... trash bin and X were not visible when using the app in landscape mode, but this has now been fixed along with a fix for launching contacts from a SubMatrix. «Phones Review, Jan 13»
