Sentence examples for matrix norm on from inspiring English sources

for every matrix norm on.

for every matrix norm on, hence (4.6).

for some matrix norm on, or (3.9).

If is a matrix norm on, there exists an induced matrix norm on such that for all (cf. [1, page 297]).

and therefore there exists a matrix norm on such that (4.10).

If (5.5). is satisfied for some matrix norm on, then there are numbers and such that (5.6).

for any vector of matrix norms on Now, is a contraction if and then there is a unique point such that from the contraction mapping theorem [21, 24]. is also a contraction if holds.

In this section, we will give some applications on matrix norms of harmonic Fibonacci and hyperharmonic Fibonacci numbers.

denotes the supremum norm on or its induced supremum metric, for functions or vector and matrix functions without specification of any pointwise particular vector or matrix norm for each If pointwise vector or matrix norms are specified, the corresponding particular supremum norms are defined by using an extra subscript.

Indeed one can take to be the matrix norm induced by the norm on defined by.

A total of 169 and 101 ILs with MICs and MBCs, respectively, are used to obtain multiple linear regression models based on matrix norm indexes.