singular matrix


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Related to singular matrix: identity matrix
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Noun1.singular matrix - a square matrix whose determinant is zero
square matrix - a matrix with the same number of rows and columns
nonsingular matrix - a square matrix whose determinant is not zero
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References in periodicals archive ?
0).sup.T], then the system Aw = Aw, rewritten into the form [mathematical expression not reproducible] must have a singular matrix A - AE, -[lambda]E, 1.
In addition, [U.sub.n], n =1, ..., N, is a unitary [I.sub.n] x [I.sub.n], which is the left singular matrix of [U.sub.n].
However, because there is a singular matrix in the original system, the closed-loop system cannot be directly simulated.
The second edition gives more correct definitions of differences in the classification of resonance and nonresonance boundary value problems in the investigation of general Fredholm problems, and adds new sections on the theory of differential-algebraic systems with singular matrix of derivatives, impulsive, and boundary value problems.
E is a square singular matrix with n x n _dimension and the other matrices have appropriate dimensions.
(i) Transform the data using the singular matrix [PHI]:
For singular matrix direct calculation of the inverse is impossible and pseudo-inverse is used.
Al Zhour, Vector least-squares solutions for coupled singular matrix equations, J.
If the reduced square [sup.t][Y.sub.1] * [X.sub.1] is a non-null singular matrix (this is equivalent to 0 < rank [sup.t][Y.sub.1] * [X.sub.1] < r), then it has a decomposition of the rank and relating to this decomposition [sup.t][Y.sub.1] * [X.sub.1] has a reduced square.
The DBEM overcomes the problem of the singular matrix that is inherent in crack modeling by incorporating two pairs of independent boundary integral equations, namely the temperature and displacement, and the flux and traction equations.
In this example the effect of scaling is that, if [Epsilon] tends to zero, then [U.sub.[Epsilon]] tends to a singular matrix and [R.sub.[Epsilon]] to a constant matrix of rank 1.