منابع مشابه
On the Accuracy of Solving Confluent Prony Systems
In this paper we consider several nonlinear systems of algebraic equations which can be called “Prony-type”. These systems arise in various reconstruction problems in several branches of theoretical and applied mathematics, such as frequency estimation and nonlinear Fourier inversion. Consequently, the question of stability of solution with respect to errors in the right-hand side becomes criti...
متن کاملA hybrid Fourier-Prony method
The discrete Fourier transform is one of the top ten algorithms of the 20-th century, frequently used in the analysis of signals. It is known to be very stable and of low computational complexity. When the bandwidth is large or the spectrum is sparse, sampling at the Shannon-Nyquist rate may however be prohibitive. We propose a new hybrid technique that exploits the spectral sparsity. Several s...
متن کامل∆k-Confluent and Ok-Confluent Graphs
In this paper we extend the concept of ∆-confluence to ∆k-confluence by allowing more generalized junctions, called ∆k-junctions. We present an algorithm for recognizing graphs that are ∆k-confluent. We then generalize ∆k-confluence to Ok-confluence by allowing non-intersecting chords within a junction, resulting in Ok-junctions. We present an algorithm for recognizing graphs that are Ok-conflu...
متن کاملA sparse Prony FFT
We describe the application of Prony-like reconstruction methods to the problem of the sparse Fast Fourier transform (sFFT) [6]. In particular, we adapt both important parts of the sFFT, quasi random sampling and filtering techniques, to Prony-like methods.
متن کاملInce’s limits for confluent and double-confluent Heun equations
We find pairs of solutions to a differential equation which is obtained as a special limit of a generalized spheroidal wave equation (this is also known as confluent Heun equation). One solution in each pair is given by a series of hypergeometric functions and converges for any finite value of the independent variable z, while the other is given by a series of modified Bessel functions and conv...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1991
ISSN: 0898-1221
DOI: 10.1016/0898-1221(91)90189-b