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This paper aims to describe a method for efficient frequency domain model order reduction. The method attempts to combine the desirable attributes of Krylov reduction and proper orthogonal decomposition (POD) and is entitled Krylov enhanced POD (KPOD).

The KPOD method couples Krylov’s moment-matching property with POD’s data generalization ability to construct reduced models capable of maintaining accuracy over wide frequency ranges. The method is based on generating a sequence of state- and frequency-dependent Krylov subspaces and then applying POD to extract a single basis that generalizes the sequence of Krylov bases.

The frequency response of a pre-stressed microelectromechanical system resonator is used as an example to demonstrate KPOD’s ability in frequency domain model reduction, with KPOD exhibiting a 44 per cent efficiency improvement over POD.

The results indicate that KPOD greatly outperforms POD in accuracy and efficiency, making the proposed method a potential asset in the design of frequency-selective applications.

Roots of global Terrorism are in ‘failed’ states carved out of multiracial empires after World Wars I and II in name of ‘national self‐determination’. Both sides in the Cold War competed to exploit the process of disintegration with armed and covert interventions. In effect, they were colluding at the expense of the ‘liberated’ peoples. The ‘Vietnam Trauma’ prevented effective action against the resulting terrorist buildup and blowback until 9/11. As those vultures come home to roost, the war broadens to en vision overdue but coercive reforms to the postwar system of nation states, first in the Middle East. Mirages of Vietnam blur the vision; can the sole Superpower finish the job before fiscal and/or imperial overstretch implode it?

Summary of Content Mein Kampf, Adolf Hitler (1925–1926), is in two parts, “Eine Abrechung” (A Reckoning) and “Die National‐Sozialistische Bewegung” (The National Socialist Movement). Written at different times, they originally appeared separately.