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Matrix norm
More generally, one can define the subordinate matrix norm on K^{m\times n} induced by \|\cdot\|_{\alpha} on Kn, and \|\cdot\|_{\beta} on Km as: \left \| A \right ...
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Jun 20, 2001 ... Definition 3.8 A matrix norm $ \left\Vert{\cdot}\right\Vert$ subordinate to the vector norms $ \ensuremath{\left\Vert{\cdot}\right\Vert ...
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Subordinate Matrix Norm. A matrix norm ‖ ‖ on C m,n is subordinate to the vector norms ‖ ‖α on C n and ‖ ‖β on C m if. ‖Ax‖β. ≤ ‖A‖‖x‖α for all A ...
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Since the matrix norm is defined in terms of the vector norm, we say that the matrix norm is subordinate to the vector norm. Also, we say that the matrix norm is ...
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called subordinate matrix norms or induced matrix norms or (Demmel) op- erator norms: 3 ... Definition 3 The subordinate norm of a (square) matrix A is given by ...
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Subordinate or operator matrix norm | Operator matrix norm | Subordinate matrix norm (English). Search for " Subordinate or operator matrix norm " OR ...
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It is proved that computing the subordinate matrix norm ‖A‖∞,1 is NP-hard. Even more, existence of a polynomial-time algorithm for computing this norm ...
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Feb 24, 1999 ... Definition 2.2.2 The matrix norm $\left\Vert \kern.05em . \kern.05em \right induced by or subordinate to the given vector norm $\left\Vert ...
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These notes survey most important properties of norms for vectors and for linear ... T(x) defined by the matrix T in one coordinate system must be defined by T = C. T ...... Subordinate to two vector norms in the sense that ||L·x|| ≤ ||L||·||x|| for all ...
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We now give another method for obtaining matrix norms using subordinate norms. First, we need a proposition that shows that in a finite- dimensional space, the ...
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