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In this paper, the authors describe the properties of an algorithm to solve systems of nonlinear equations. The algorithm does not use any derivatives. The convergence of this algorithm is quadratic under quite mild conditions. This method can also be used to solve systems of linear equations with infinitely many solutions. The second part of the paper is devoted to the application of this algorithm to the solution of multipoint boundary-value problems for differential equations. A theorem of convergence is proved and various numerical examples are given.

A PULSAR search at 1,400 MHz was carried out in March 1969 using the Nançay transit telescope. A third of the galactic plane was scanned between plus and minus two degrees in galactic latitude. No pulsars were discovered.