In this paper we discuss the deflation criterion used in the extended QR algorithm based on the chasing of rotations. We provide absolute and relative perturbation bounds for this deflation criterion. Further, we present a generalization of aggressive early deflation to the extended QR algorithms. Aggressive early deflation is the key technique for the identification and deflation of already co...

A number of recent studies examining historical experiences with deflation have called into question the widely-held view that maintains deflation is economically harmful. These studies contend that a broad, historical perspective reveals a more nuanced view of deflation, one that requires taking seriously both malign and benign deflation. This paper builds on these findings by taking an in-dep...

For isolated singular solutions of polynomial systems, we can restore the quadratic convergence of Newton’s method by deflation. The number of deflation stages is bounded by the multiplicity of the root. A preliminary implementation performs well in case only a few deflation stages are needed, but suffers from expression swell as the number of deflation stages grows. In this paper we describe h...

conclusions this study showed that a pneumatic arm tourniquet as an adjunct to ivra provides acceptable analgesia following the deflation of the double- cuff tourniquet for relieving surgical pain. results the mean operation time after the deflation of the double-cuff tourniquet was 20.12 ± 6.1 minutes. moreover, the mean nrs for the post-deflation time was insignificant (nrs = 2), and only one...

cerns that the United States and other economies could enter a sustained period of deflation, as did Japan in the 1990s and the United States during the Great Depression. Indeed, a popular version of the well-known Phillips curve model of inflation predicts that we are on the cusp of a deflationary spiral in which prices will fall at ever-increasing rates over the next several years. A sizable ...

A deflation technique is presented for an irreducible singular M -matrix Algebraic Riccati Equation (MARE). The technique improves the rate of convergence of a doubling algorithm, especially for an MARE in the critical case for which without deflation the doubling algorithm converges linearly and with deflation it converges quadratically. The deflation also improves the conditioning of the MARE...