Aleksey Krylov (nonfiction)

Aleksey Krylov (1910s).

Aleksey Nikolaevich Krylov (Russian: Алексе́й Никола́евич Крыло́в; August 15 [O.S. 3 August] 1863 – October 26, 1945) was a Russian naval engineer, applied mathematician, and memoirist.

In 1878 Krylov entered the Naval College (rus. Морское училище) and graduated with distinction in 1884. There he did his first scientific work with Ivan de Collong on Deviation of magnetic compasses. The theory of magnetic and gyro-compasses fascinated him for all of his life; later he published important works related to the dynamics of the magnetic compass and proposed the dromoscope, a device that would automatically calculate the deviation of a compass. He also was a pioneer of the gyrocompass, being the first to create a full theory of it.

After spending several years at the Main Hydrographic Administration and at a shipbuilding plant (French-Russian shipbuilding company), in 1888 he continued his study in the Naval Academy of Saint Petersburg. He was a talented and promising student and after graduating ahead-of-schedule from the Academy in 1890, stayed on as mathematics and ship-theory lecturer.

Fame came to him in the 1890s, when his pioneering Theory of oscillating motions of the ship, significantly extending William Froude's rolling theory, became internationally known. This was the first comprehensive theoretical study in the field. In 1898 Krylov received a Gold Medal from the Royal Institution of Naval Architects, the first time the prize was awarded to a foreigner. He also created a theory of damping of ship rolling and pitching, and was the first to propose gyroscopic damping which now is the most common way of damping the roll.

After 1900 Krylov actively collaborated with Stepan Makarov, admiral and maritime scientist, working on the ship floodability problem. The results of this work soon became classic and are used today worldwide. Years later, Krylov wrote about of the early ideas of Makarov to fight the heel of a sinking ship by flooding its undamaged compartments: "This appeared to be such a great nonsense [to the naval officials] that it took 35 years… to convince [them] that the ideas of the 22-year-old Makarov are of great practical value".

Krylov was well known for his sharp tongue and quick wits. His put downs to government and Duma officials were legendary. As a capable naval consultant, he claimed that his advice saved the government more than the cost of a dreadnought.

In 1917 he became CEO of the Russian society for shipbuilding and trade (the ROPiT, Русское общество пароходостроительства и торговли). After the October Revolution he peacefully transferred the ROPiT merchant fleet to the Soviet government and continued to work for the Russian Navy. In 1921 he was sent to London to re-establish scientific contacts, working there as a representative of the Soviet government. In 1927 he returned to the Soviet Union.

Krylov wrote about 300 papers and books. They span a wide range of topics, including shipbuilding, magnetism, artillery, mathematics, astronomy, and geodesy. His floodability tables have been used worldwide. Of note are his works in hydrodynamics including theory of ships moving in shallow water (he was the first to explain and calculate the significant increase of hydrodynamic resistance in shallow water) and the theory of solitons. In 1904 he built the first machine in Russia for integrating Ordinary differential equations.

In 1931 he published a paper on what is now called the Krylov subspace and Krylov subspace methods. The paper deals with eigenvalue problems, namely, with computation of the characteristic polynomial coefficients of a given matrix. Krylov was concerned with efficient computations and, as a computational scientist, he counts the work as a number of separate numerical multiplications; something not very typical for a 1931 mathematical paper. Krylov begins with a careful comparison of the existing methods that include the worst-case-scenario estimate of the computational work in the Jacobi method. Later, he presents his own method which is superior to the known methods of that time and is still widely used.

Krylov also published the first Russian translation of Isaac Newton's Philosophiæ Naturalis Principia Mathematica (1915).

Alexei Nikolaevich Krylov died in Leningrad (i.e. Saint Petersburg) on October 26, 1945, shortly after the end of World War II.

Fiction cross-reference

• Gnomon algorithm
• Gnomon Chronicles

Nonfiction cross-reference

External links:

• Aleksey Krylov @ Wikipedia