By the division operation of the algorithm, as (trightarrow +infty ), (q^{t}-p^{t} rightarrow 0), we have lim_{t to +infty }p^{t}=lim_{t to +infty }q^{t}= lim_{t to +infty }s^{t}=hat{x}in D^{0}.
This efficiency can be described by the number of division steps the algorithm requires, multiplied by the computational expense of each step.
The division of the Lucas-Kanade algorithm into tasks is similar to that used in our method, although in [28], the pipeline is implemented using specific and reconfigurable FPGA hardware (Virtex II XC2V6000-4 Xilinx FPGA; Xilinx Inc., San Jose, CA, USA).
The division of the Lucas-Kanade algorithm into tasks is similar to that used in our method, although in [21], the pipeline is implemented by using specific and reconfigurable FPGA hardware (Virtex II XC2V6000-4 Xilinx FPGA; Xilinx, Inc., San Jose, CA, USA).
A sequence of divisions within the algorithm results in a "continued fraction" that corresponds to the ratio between the original two quantities.
Note the role of interval divisions in the algorithm: for K not satisfying the smallness condition (11) and k 0 = 0 (i.e., when u m is constructed according to (4) without any interval divisions), the algorithm would stop at step 3 without any result.
This is a theoretically attractive approach, but it is awkward to implement since the quasi-Newton steps break the simple box division pattern of the original algorithm and also may cross box boundaries.
In Grades 3 and 4, solving multiplication and division problems with the algorithm becomes one of the main objectives.
Due to the quadratic order of the algorithm, this division into subsequences implies a substantial efficiency gain.
Knight later said that "a technology issue occurred" in the division of the company that uses computer algorithms to buy and sell stocks from other market participants.
