The bounds for the Z-spectral radius of nonsingular H-tensor, the upper and lower bounds for the minimum H-eigenvalue of nonsingular (strong) M-tensor are studied in this paper. Sharper bounds than known bounds are obtained. Numerical examples illustrate that our bounds give tighter bounds. Dedicated to Professor Ravindra B. Bapat on the occasion of his 60th birthday

We show that a nef and big line bundle whose adjoint bundle has global sections on a nonsingular complete toric 3-fold with nef anticanonical divisor is normally generated. As a consequence, we see that any ample line bundle on a nonsingular toric Fano 3-fold is normally generated.

We study spatially homogeneous and isotropic solutions to the equations of motion derived from dilaton gravity, in the presence of a special combination of higher derivative terms in the gravitational action. All solutions are nonsingular. For initial conditions resembling those in the pre-big-bang scenario, there are solutions corresponding to a spatially flat, bouncing Universe originating in...

We consider an exotic "compactification" of spacetime in which there are two infinite extra dimensions, using a global string instead of a domain wall. By having a negative cosmological constant we prove the existence of a nonsingular static solution using a dynamical systems argument. A nonsingular solution also exists in the absence of a cosmological constant with a time-dependent metric. We ...

A new solution for the spacetime outside the core of a U (1) static global string has been presented which is nonsingular. This is the first example of a nonsingular spacetime around a static global string. It is believed that early universe has undergone a number of phase transitions as it cooled down from the hot initial phase. One of the immediate consequences of these phase transitions is t...

In this paper, a Kerr-type solution in the Regge calculus is considered. It assumed that discrete general relativity, calculus, quantized within path integral approach. The only consequence of approach used here existence length scale at which edge lengths are loosely fixed, as considered our earlier paper. addition, we previously action on simplicial manifold vertices coordinatized and corresp...

For a general group G we consider various weak mixing properties of nonsingular actions. In the case where the action is actually measure preserving all these properties coincide, and our purpose here is to check which implications persist in the nonsingular case.

In this paper, a nonsingular terminal sliding mode concept is introduced for the control of a class of nonlinear dynamical systems. This nonsingular terminal sliding mode control not only enables the £nite time convergence of the system equilibrium, but also eliminates the singularity problem associated with conventional terminal sliding mode control. Simulations are presented to show the effec...

We study condensation of closed string tachyons living on defects, such as orbifold fixed planes and Neveu-Schwarz fivebranes. We argue that the high energy density of localized states decreases in the process of condensation of such tachyons. In some cases this means that ceff decreases along the flow; in others, ceff remains constant and the decreasing quantity is a closed string analog, gcl,...