Separation of zeros for source signature identification under reverberant path conditions

2011 ◽  
Vol 130 (4) ◽  
pp. EL271-EL275 ◽  
Author(s):  
Tomomi Hasegawa ◽  
Mikio Tohyama
Keyword(s):  
Separation Of Zeros

scholarly journals Growth and oscillation properties of solutions of a fourth order linear difference equation

1985 ◽  
Vol 26 (3) ◽  
pp. 310-328 ◽  
Author(s):  
John W. Hooker ◽  
William T. Patula
Keyword(s):  
Difference Equation ◽  
Fourth Order ◽  
Initial Conditions ◽  
Linear Difference Equation ◽  
Asymptotic Behavior Of Solutions ◽  
Order Difference ◽  
Order Linear ◽  
Linearly Independent ◽  
Separation Of Zeros ◽  
Oscillation Properties

AbstractFor the fourth-order linear difference equation Δ4un−2 = bn un, with bn > 0 for all n, generalized zeros are defined, following Hartman [5], and two theorems are proved concerning separation of zeros of linearly independent solutions. Some preliminary results deal with non-oscillation and asymptotic behavior of solutions of this equation for various types of initial conditions. Finally, recessive solutions are defined, and results are obtained analogous to known results for recessive solutions of second-order difference equations.

scholarly journals Sturm's Theorem for Equations with Delayed Argument

1994 ◽  
Vol 1 (3) ◽  
pp. 267-276
Author(s):  
A. Domoshnitsky
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Delayed Argument ◽  
Zeros Of Solutions ◽  
Linear Differential ◽  
Separation Of Zeros

Abstract Sturm's type theorems on separation of zeros of solutions are proved for the second order linear differential equations with delayed argument.

scholarly journals Rigorous High Speed Separation of Zeros of Riemann's Zeta Function.

1984 ◽  
Vol 42 (166) ◽  
pp. 714
Author(s):  
R. P. Brent ◽  
J. van de Lune ◽  
H. J. J. te Riele ◽  
D. T. Winter
Keyword(s):  
Zeta Function ◽  
High Speed ◽  
Riemann’S Zeta Function ◽  
Separation Of Zeros

scholarly journals The zeros of linear combinations of translates of polynomials

2002 ◽  
Vol 72 (1) ◽  
pp. 109-118
Author(s):  
Peter Walker
Keyword(s):  
Linear Combination ◽  
Linear Combinations ◽  
Term Linear ◽  
Separation Of Zeros

AbstractWe investigate the location and separation of zeros of certain three-term linear combination of translates of polynomials. In particular, we find an interval of the form I = [−1, 1 + h], h > 0 such that for a polynomial f, all of whose zeros are real, and λ ∈ I, all zeros of f (x + 2ic) + 2λf (x) + f (x – 2ic) are also real.

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