The solution of linear systems having real, symmetric, diagonally dominant, tridiagonal coefficient matrices with constant diagonals is considered. It is proved that the diagonals of the LU deccraposition of the coefficient matrix rapidly converge to full floating-point precision. It is also proved that the computed LU decomposition converges when floating-point arithmetic is used and that the ...

In 1974, Sterbenz [20] presented a theorem about the exact subtraction of two floating point numbers x and y when they are very close one from another, that is y 2 ≤ x ≤ 2y. The theorem stating that x−y is exact under the preceding condition was presented for any radix provided the hardware was accurate enough. More recently, other authors [8,10] presented similar results with an emphasis on di...

for prolonging the time that drug remains in stomach, new methods used as floating drug delivery systems, that available in various forms such as floating tablets. these systems enhance drug absorption and decrease plasma concentration fluctuations. iron deficiency and its inadequate absorption in diet are of community health problems. for prolonging the time that drug remains in stomach, new m...

We experimentally study the dynamical states of a freely moving, floating heat blanket that is coupled with a thermally convecting fluid. This floating boundary modifies the large-scale flow pattern in the bulk and destabilizes the coupled system, leading to spontaneous oscillations. As the moving boundary exceeds a critical size, the system makes a transition from an oscillatory state to a wea...

A fuzzy sliding mode control method is proposed to eliminate the interference that suspended floating objects suffered in the on-ground low-gravity simulation system. Due to the change of sling swing-angle that caused by the external interference is weak, the time integral of the sling swing-angle is taken as tracking errors. Meanwhile the values of angle and the angle differential should be co...

The simple aerial display system called holographic pyramid has been eliciting much attention recently. However, the image that appears to be floating in the pyramid has no depth information because it is merely a virtual image of a 2D image displayed on a flat-panel display and reflected at the surface of a transparent board of the pyramid. Therefore, we propose a new holographic pyramid syste...

The leaky integrate and fire (LIF) neuron represents standard neuronal model used for numerical simulations. The leakage is implemented in the model as exponential decay of trans-membrane voltage towards its resting value. This makes inevitable the usage of machine floating point numbers in the course of simulation. It is known that machine floating point arithmetic is subjected to small inaccu...

DSP chip design has followed two distinct paths – utilizing either fixed-point or floatingpoint instruction sets to create processors targeted at different applications and performance goals. Floating-point DSPs deliver high dynamic range, high precision and a simplified programming environment. Additionally, since a majority of PC-based development tools generate floating-point code, developer...