SCIENTIFIC ABSTRACT BESSER, Y. - BESSMERTNYY, I. S.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000205120005-6
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 8, 2000
• Sequence Number: 5
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

Erection of Preoast (coat.) SOV/2424
25. Storing precast reinforced-concrete parts 220
26. Safety Meqsures for loadinguA unloading operations 225
Ch. VII. Erecting Precast Reinforced-concrete and
Largeosection
Structures'

227
27.
Methods of erection. and general requirements for
reinforced-

-
concrete elements being erected
227
28.
Preassembling reinforced-concrete structures
230
29.
Erecting foundations and cellar walls
241
300
Erecting col
tzans
246
31.
Erecting beams,; collar besis., slabs and
stair flights
7
259
32.
-Mounting trqsaes and biens
268
33-
Erecting large
wall sections and panels
274
34.
Erecting large partitions
283
35-
Electric butt welding of precast
reinforced-concrete structures
293
36.
Final fixing of
structural sections and solid pouring of joints
3o6
Sequence of operations in buildingirtetion 312
Acceptance of 'erected ,structures 319
39- Safety engineering for erection work 322
Ch. VIII. Safety Engineering an(L Fire-prevOntion
Measuria 324
Card 4/5

Erection of Precast (Cont.) SOV/2424
40. Basic rules for safety engineering 324
41. Basic fire-pr~vention measurds 327
Ch. IX. Organization of Work and the Working Place 328
42. Orga~iiati6n of construction management. Working
crews and
gangs 328
43.- Wages for labor 337
Bibliography 343
4LVAIIABLE: Library of Congress
GO/gap
Card 5/5 10-26-59

0
BESSER, ya. VIN
. --.-,--,..-.!,I~-kand.tekhn.nauk
Automatle turning tray. Stroftelf nOsIO:13 0 '58.
(14111A 11:11)
(Concrete)

AUTHOR: '*,--_Pesser, *,X&...R. Cand. Tech. Sci.;
sizov-T.-I-.
,, lboctor of Tech. Sci., Profeww-
TITLE: Book Review (Kritika i Bibliografiyi)
PERIODICAL: Beton i Zhelezobeton, 1958, Nr.11, p.440 (USSR)
ABSTRACT: The following book is reviewed: A.G. Sarapin,
"Production
of Large-6cale Reinforced Concrete Constructions and
Details Using "Stand" Method',. published by GosstroyizcLat,
1958. It deals with Russian and Foreign problems of and
research into the production of large precast reinforced
concrete units. There is an interesting chapter compiled
by the author in conjunction with.operatives of the
laboratory for reinforced concrete products of the Institute
of Buiiaing Technique of the Academy of Architecture of
USSR (Institut stroitellnoy tekliniki Akademil arkhitaktury
SSSR). Curing methods are criticised. In general
the review is favourable.
Card 1/1

AMMGAUZ. V.D.; GALIPZRIN, K.I.; BBSSXR, Ya.R. 9
kand.takhn.nauk,
nauchnyy red.: KRYUM, Yu.V-.-,reT.I-zd'-Ys;
KMINICMKO, F.P.0
takhn.red.
[Using vibrators in building] Vibrator na stroike.
lzd.2-a.
parer. i dop. Moskva, Gos.Izd-vo lit-ry po stroit..
arkhit. i
stroit.materialem, 1958. 79 p. (NMA 13:3)
(Vibrators)

SIZOV, Vaoiliy Nikolayevich, prof., doktor
takhn.nauk; -BISSA.R. Takov
Ruvimovich, kand.tekhn.nauk; VASIL'Tff, Aleksandr
Petrb"V'f6h,
kand.tekhn.nauk; ILIjNICK. Ivan Hilrbaylovich,
nauchnyy red.;
NIKCLAYSTA, N.M., red.izd-va; OSRWO, L.K., takhn.red.
[Making precast reinforced-concrete construction
elements in
construction yards] Isgotovlenie abornykh
zhelezobetonuykh
konstruktaii na poligonakh. Moskva, Gos.izd-vo
lit-ry po
stroit.. arkhit. i stroit.mterialam, 1960. 230 p.
(NIRA 13:10)
(Precast concrete)

__tE&OR ov ch kand. tekhn. nauk; PROSKURNIN
,_14_ , Valentin Petr
vich., inzh.; IVYANSKIY, G.B., nauebnyy red.;
TELINGATER, L.A., red.
izd-va; TOKER, A.M.p tekhn. red.
[Assembly of precast reinforced-coner6to elements]
Montazb sbornykh
zhelezobetorxqkh konstruktaii. Izd.2., perer. i dop.
Mo:3kva., Vses.
uchebno-pedagog.izd-vo Proftekhizdat, 1961. 391 p. (MIRA
JJ,211)
(Precast concrete construction)

BESSER, Ya., kand.tekhn.nauk
MamLfacture of large-dYmeter reinforced concrete rings.
Stroitell
m.6:8 je 161. (MERA 14-7)
(Cement-Storage) (Moscow-Reinforced concrete)

BESSER, Ya.R., kand.tekhn.nauk
Manufacturing reinforced-concrete rinrs for silos. Bet.
i zhel.-bet.
8 no.3:130-131 Mr '62. (MIRA 15:3)
(Precast concrete construction) (Silos)

BESSER, Yu.V
Benign neoplasms of the greater omentum in children.
Vest.khIr.
ro.6984-86 ~62. Wm.
1. Tz kbirurgichesRikh otdeleniy (zav. - D.B. Avidon i
V.M.
Solov-skaya) detskoy boltnitsy im. Raukhfusa i
khirurgicheskogo
otieleniya (zav. - Yu.V. BoLer) ob"yedinennoy detakoy
bollritsy
(g--,, vrach - K.A. Koahevaya) Moskovskogo rayona g.
leningrada.
(01-MM-TUMORS)

BESSM Yu.V.
-
Pyonephrosis in an 8-month-old child.
Vest.khir.no.l.-137-138
163. (b9JU 16:7)
1. Iz khirurgicheskogo otdoloniya (zav. Yu.V.Besser)
Obl~yedinen-
noy detskoy bolinitzy Moskovskogo rayona Leningr'ada
(glavnyy
vrach - K.A.Koshevaya).
(KID14EYS--DISEASES) (INFAYrS --DISEASZS)

Teratoma of the LY
Ve~t. khir..90 nu-51lZl'."-1.22 P:y
.,A
1. Tz 'YU V. R-- ~ ~ ) C) b'
cfln.~~Yioy detulzmy 1-11ii.It-v ny N-r 1 . K-~ s e
- -. ; V-
1.1c.skovol,ogo ra-jron~,

L 4912-66 E-.;,A (k )/F DD/E VT (1 )/Z-E C (k )-~/T/E ill) (k
I/EiVA (M)-2/R.~.'A (hPVk3
ACC NR: AP5027035 SOURCE COEE: UR/0120/65/000/005/02.04/0206
AUTHORSt Besshaposhnikov, A. A.; Voloshin A. Y90; Kuchuberiya,_
ORGt Physicotechnical Institut9&_LKMj_&bLWi (Fiziko-tekhnicbeskiy
institut" GKaF
TITLEt Measurement of laser radiation energy
SOURCE: Pribory- I tekhDika eksperimenta, no, 5j 1965, 204-206
TOPIC TAC-St laser radiation, 2.aser energy,, bolometer,
transistorized amplifier
P13B triode
ABSTRACT: Equipment is described ~or measuring the ener output of
pulsed lasers
5 f
in the range of 0. 1-10 J. The signal _f_ro_m_all;~;fo_me~i~~_,
vEEfi iis'_-~ii~Ec _'~Fili& 17
sor, is supplied through a step voltage divider to the input of a
four-stage
transistorized amplifier with calibrated stable amplification.
Low-noise tran-
sistors are used in the first two stages. The gain of the
amplifier at 1 kc is
2800; the frequenc7 response is flat (within 3- db). in-the.
range of 50 cps to 20 kc;
and the amplitude response Is linear over 20 db. The output is
recorded on an
Card 1/2 DO:- 621,317,794:621,378.325
ej r?t.-,e e_-S:~~ C:~

L 4912-66
NRi AP5027035
oscilloscope whose sweep is triggered by the firing circuit of the
laser pumping
lamps. The bolometer, amplifier, and stabilized power supply are
mounted in a
sectioned metal container. Orig. art. heat 5 formulas and 7
figures. (o4]
SUB COM EC/ SUBM DATEt 3.OAug64/ ORIG REFt 004/ OTH REF: .006
ATD PRESS:
Card 2/2

022Z8-67,--.--F-W7-()- I P.(c) AT
ACC NRs AP6025246 SOURCE CODE: UR/0057/66/036/007/1211/1214
IAUTHOR: Beashapoohnikov,A.A,; Doroshenk-o,A.K.; Simona!~,N-W-;
Chelidze,T.Ye.
.jORG: none
1TITLE: Observation of 11curved" spectrum lines in a pulsed high
frequency plasma
lsouRcz: zhurnai tekhnicheskoy fimiki, v. 36, no. 7, 1211-1214
TOPIC TAGS: hydrogen plasma, rotating plEsma, plasma velocity,
ion concentration,
ion temperature, magnetic mirror, optic spectrum
ABSTRACT: The authors have spectroscopically observed the
rotational velocities and
the radial distributions and temperatures of impurity 0* and
Si""* Ions in hydrogen
plasma filaments. The plasmas were produced by a 1.5 MHz pulsed
rotating dipole field
in a 6.5 cm diameter I meter long glass tube containing hydrogen
at from 0.02 to 0.25",
Imm Hg and were confined by a magnetic mirror system with a
mirror ratio of 1.57 and a-
ifield strength In the uniform field rcgioi& of 7.2 kOe.
Additional stabilization was:,
provided by an up to 216 cusped octupole field corresponding to
a diameter of 2 cm. "
Two conditions of operation were distinguished: "direct
rotation", in which the forcei
on the particle* due to interaction of the high frequency
currents in the plasm with
the quasistatic field were directed toward the axis of the
chamber, and "reverie
rotation" In which those torces were directed toward the wall of
the chamber. The
011 4649.1 and SIM 4552 A lines were observed with a
spectrometer having a dispersiol
Card 1/2 UDC: 533.9.07

L Q227t-157--.-
1'XCC NR, AP6025246
lof 4 ;./am and a resolution of 0.1 L The lines were very weak
and were recorded with
ithe aid of a multistage electron-optical in age converter. The
radial distributionsof
the ion concentrations were determined (in arbitrary units)
from the relative inten-
sities of the portions of the lines arising from different
parts of the plasma filameni
the radial distribution of the rotational velocity was
determined from the Doppler
shifts of different parts of the lines, and the temperatures of
the impurity ions were
.also deterainedp presumably from the Doppl6r broadening. In
direct rotation the im-
purity ion concentration decreased more or less monotonically
from the axis to the per-
iphery of the plasma filament; -in reverse rotation the ion
concentration increased
with increasing distance from the axis, passed through a
maximum, and then decreased
toward the periphery. The rotational velocity was also maximum
at some distance from
the axise The rotational velocity was of the order of 106
em/sec at about 1 cm from
the axis. The direct rotational velocities decreased with
increasing octupole field
strength, and the reverse rotational velocities increased with
increase of the octupole
field strength up to about 144 0s and decreased with further
increase of the octupole
field strength. With increasing catupole field strength, the
ion temperature decreased
in direct rotation and increased In reverse rotation. Ion
temperatures up to 20 (units
not stated) were observed. The authors thank R,A.Demirkhanov
ard T J.Gutkin for sug-
gesting the problem aid for their Interest In the work. Orig.
art. hag: 5 figures
and 1 tabl**
l
SUB CODE: 20 SUBM DATE: 02Aug65 OHIO. REF: 002 OTH REF: 004
Card 2/2 vmb

BF-SSIVIANDVI A.I.;
KrAV",'SOI,F,
improving the performanoe of elsctr~,Iytiz~ a,~, a
of an effinient poiaitlomlng of aiLxd'-4.a~ry
r,.i,' 7o2cJ.,
T
and anodc p1r.-s. ISvet. not. '33 no.~S---Sq C%~

L 32622-66- FBD/EWT(I)/EEC(k )-2/ETC(f)/T/EWP(k) IJP(c) W~ZAT
ACC NRi AP6015598 souRcE com mVo368/66
AUVOR: Besshaposhnikoy, A. A.; Voloshin, A. Yes; KV%chuberiyal 1.
Kh.; Simonoval N.V"
ORG., none
TITLE: Measurement of electron temperature of plasma by means of
scattered laser
radiation
966p 458-459
-SOMW4: Zhurml prikladnoy spektroakup4p v, 4p no. 5p 1,
jA,5 F #0-
t~=C lm~M 7plication, plasm elsetront sildetrou t"Verature.,
ABSTPACT: The authors used a laser beam to measure the electron
temperature in a
..setup in vhich the plasma vas produced by a rotating
higbrfrequency dipole at E-45
in a quasistationary field of mirror confiewation. The vacuum
chamber vas a glasts
tube 50 mm in dia. and 1000 mm long (Fig. 1). The spectrum of the
plotted radiation
vas measured point by point and the.tlectron temperature was
calculated from the
.smoothed spectrum and found to be Telm 4 ev. From
the'presence*of a shift in the
scattered radiation relative to the incident radiation it is
deduced that the elec-
..trons move axially with velocity -3D8 ca/sec. The reason for
this phenomenonj, and
also the details of the fine structure of the scattered
radiationp are still unclear.
The authors thank R. A. Demirkhwwv for suggesting the
investigation and for continu-
ous interest. Orig. sat. has: 2--hgureS;,-.--
3/2 tWas 5,23.9.07

L 32622-66
ACC Nit. Ap6ol5598
Fig. 1. Block diagram of the measurement
apparatus. :L - b4yeert 2 - lens# 3
J,_flL
vacuum chamber ical focusing Systmi,
5 - spectr%mpb,, 6 - photmultiplierp 7
oscilloscope.
BUD CODS: 2D/
SM DM: 22J~a5l OM MW: OC*
2/2

AGALINA. H.S., inzh.; AKUTIN, T.K., lnzh.; AMSOV, A.M.,
inzh.; ARISTOY.
S.S., kand. iekhn. nauk,; BELOSTOTSKIT, O.B., inzh.; BERLIN,
A.Yo,,inzh.;
inzh.; BLYUM, A.M., inzh.; BRAUN, I.Y. inzh. , BRODSKIY,
Xg
I.A., inzh.; BURAKAS, A.I.,inzh.; VAYNMAN, I.Z.. inzh.-,
VARSHAVSKIY,
I.N.,inzh.; VASIL' UVA. A.A.,inzh.; VORONIN, S.A..inzh.;
VOYTSEKHOVSKIY.
WK.. inzh.: TEBLEVSKIT, A.A.linzh.; GERSHKAN, S.G., inzh.;
GOLUBYATNIKOV. G.A.,inzh.; GOBLIN. M.Yii., lnzh.-,
GRAWATIKOV, A.H., inzh.;
DASHEVSKIY, A.P.,insh.;DIDKOVSKIY. I.L., inzh.;
DOBROVOLISKIY, N.L.,insh.;
DROZDOV. P.P..kand. tekhn. mi*,, KOZLOVSKIY.A.A.,inzh.;
KIRILFMO,
V.G.,inzh.; XOPELYANSKIT. G.D.,kand. tekhn. nauk.;
KORETSKIT, M.M.,Inzh.;
KUKHARCHUK, I.N.,inzh.; KUCHER, M.G.,inzh.-. KFaZLYAK.
M.V.,inzh.;
MIRONOV. V.V.,inzh.; NOVITSKIT, G.T.,inzh.; PADUN,
N.M.,inzh.;
PANMTIYEV. N.B., insh.; PARKHOMENKO. V.I.,kand. biol. nauk,;
PINSKIY.
Ye.A.pinzh.; POMUBNYY, S.A., inzh.; PORAZHENKO. F.F.,inzh.;
PUZANOV.
I.G.,inzh.; REDIN. I.P.inzh.; REZNIK. I.S..kand. takhn.
nauk,;
ROGOVSKIT. L.V.,inih.-, R=RMAN, A.G.,inzh.; RYBALISKIY.
V.I..inzh.;
SADOVNIKOV. I.S.,inzh.; SEVERIYANOV, N.N.,kand. tekhn.
aauk,; SEMESHKO.
A.T.,inzh.; SIKKIN. A.Kh., inzh.: SURDUTOVICH, I.N.,inzh.;
TROFIKOV.
V.I.,inzh.; FFJER, X.K inzh.; YTALKOVSKIY. A.M.,inzh.;
FRISHKAN,
H.S.. inzh.; CHER SHNE;, V.A., inzh.; SHESTOV, B.S.. inzh.;
SHIFKAN.
K.I.. inzh.; SMMYATSKIY. A.F.,inzh.; SHCHERBAKOV, V.1.,inzh.;
STANCHR 0, I.K., otv. red.: LISHIN, G.L.,inzhi,red.:
KRAVTSOY.Te.P.,
insh..red.; GRIWRI UT. G.V.,rod.-, KAMINSKIY, D.N.,red.:
KRASOVSKIT,
I.P..red.;.LETMAN. L.Z., red.[daceasedj,; GMVICH.
M.S.,inzh..red.;
DANIMVSKIY, A,S.,inzh.,red.; DEMIN, A.M., inzh.,red.;
KAGANOV.
Sol.,inzh.sred.; KAUFMAN, B.N., karid. tekhn. npuk,
red..LISTOPADOV,
N.P.,ixizh.,rsd.; MM)MVICH, I.R., inzh. [red. (deceased]; -
..
continued on next card)

AGALINA, X,~S.... (continued) Card 2.
PERTKOVSKIY, N.I.,inzh.,red.; ROZMMERG. B.M.,inzh.,red.;
SLAVIN,
D.S.. inzh.,red.; FEDOROV. H.P.,inzh.,red.; TSYMBAL.
A.V..inzh.,rad.,,
SMMOV, L.V., red. izd-va,; FROZOROVSKAYA. V.L., tekhn.
red.
LKining ; an encyclopedic handbook] Gornoe delo;
antaiklopedichaskii
spravochnik. Moskvav Goo. nauchno-takhn. izd-vo lit-ry po
ugol'noi
promyohl. Vol. ).[Organization of planning; Construction
of surface
buildings and structureal Orgenizatsiia proektirovaniia-,
Stroitel'stvo
zdanii i sooruzhanii na poverkhnosti shakht. 1958. 497 P.
(111RA 11:12)
(Mining engineering)
(Building)

BESS"KIYY K.A.; MARCIHEVSKIY3 F.M.
InspPetion-competition for thp bpst ~5ystpm of infofm-ition
work
in cohstructich orgeni~ations and thp building materials
industry
of thp Ukrainp. NTI no-4t"21 165. (MIRA 18:6)
1. Glavny-y spetsialist Upravlpfilya tekhnichesk:-:y
informathii
Sbsstrof6 bk-rSSR (for Besskly). 2 * Glavnyy
spetbinlist'Sektora
tpkhniche5koy Informats1i X1yrvZNIFP (for Parohpvskiy).

KAN, S,V,; OLEVSKIYp VAI RUGHINSKIYp V*R,,; WCHERGINp
N*A,.; WSHRRTNAYA,
- A'. -
,I*tudying mas transfer and liquid distribution in a
tower vith
~Plane-par&U.91 packing. Khim, prom. 41 no.10070-773 0
165.
(MIRA 18v11)

L 1097~t:66 j;~(W-2 - A _. ~ ..
_- ~q(j)&~Affl/E
F 7 '765 (00'0/66�N6Yi-iTC08l
ACC NR: AP5028396 SOURCE CODE: 0016
AUTHOR: Zemel'man, B. M.; BessMertnay -8-
F ----- --
ORG: D e Statiovi(D"agestanskaya protivochumnayn stantsiya) E.)
TITLE: Iipmunological reorganization In persons repeatedly
vaccinated against
brucellosiWat foci of infection
SOURCE: Zhurnal mikrobiologit, epidemlologli I Immunoblologii,
no. 9, 1965, 78-81
TOPIC TAGS: infective disease, disease incidence, immunology
ABSTRACT: The authors had two groups of people under
observation who worked under
different epizootological conditions; they studied the effect
produced by repeated vaccination V/
on sensitization. The number and degree of evidence of positive
reactions to brucellosis in
the vaccinated persons are mainly determined by the massiveness
of the foci of infection in
which they work. It is very doubtful that repeated vaccination
can cause hype rsensiti zation
in people, but in all probability it can Intensify, in
vaccinated persons, a state of hypersenst-
tization which arises when they are repeatedly infected when
working in a focus of infection.
The authors use the data obtained as grounds to conclude that
persons with positive immuno-
logical reactions to brucellosis should be excluded from
vaccination. Orig. art. has: 2
tables.
SUB CODE: 06 / SUBM DATE: 07Sep64 / ORIG REF: 013
1JDC: 616.981.42.097.3

KUTLOVSKAYA, A.Ye., inzh.; BESSPERI"NAYA, G.D., inzh.
I---- - -- ~ -
Using volatile inhibitors as anti-corrosives for metals.
Za
indus.Riaz. no.2:53-54 D 161. (MIRA 16:10)
1. TSentral!naya zavodskaya laboratoriya Ryazanskogo
stankostroitellnogo
zavoda.

LIVYY, G.V.1 KAZARINA, N.N.; GILIMAN, B.A.; RUDENKO,
S.D.; DREVIIIA, N.G.;
'_~$dMMUO N.6.; ALFATSKAYA, V.P.; KOZLOVSKIYI S-I-;
SMOVIN, B-,S-,-
Development and application of reinforced film
coat'll,,of sheepskins
15.
for coats. Kozh.-obuv.prom- 4 noj;25~-28 Mr 162,P IRA
.5)
. (Fuz*-Dressing and dyeing)

BESSMERTNAYAo R Oye.
Benthos of a pond in tho vicinity of the village of
Tushkeprl In
the Murgab Valleys Izv, AN Turk.SSR.Sor,biol.nauk
no.1!61-~9 165.
(MIRA 18--5)
1. Inatitut zoologii i parazitologii AN Turkmenakay SSR,

ALEKSEYEVY V.A.; BELAN, V.G.; BESSMERTNEYY, I.I.;
BOZHKO, Ye.I.;
VASILIYEV, N.A.
Effect of the curing conditions of samples on the
mechanical
properties of concrete made with naturally burned
clays.
Trudy TASHIIT no.18:72-77 161. (MIRA 18:3)

BISSMERTNQY,M.4.; VINITIK. V.A.; MATVWIWP I.V.;
SAZANOV, A.A.
Results of visual observations of variable stars
according to 'k-1he
program of the Kuybvehev Astronomical Observatory.
Per.zvezdy 12
no.5:353-357 11 158. (MIRA 13:9)
1. Kuybyshevskaya astronomicheakaya observatoriya
Vseso7uznogo
astronomo-geodezichaskogo obshchestva;
(Stars, Variable)

BESSMERTNOV, M.A.; MAIVffEV, LV.; SAZANOVp A.A.
Results of variable star observations according
to the
program of the Kuybyshev Astronomical
Observatory. Per.
zvezdy 14 no.2:104-108 Je 162. (MIRA 17:2)

BESSMERTN-YFH A.A. , starshiy veterinarnyy vrach
Eradication of hog cholera is an urgent task,
Veterinari-4a 37
no.10:12-15 0 -160. (NIRA 15~z4)
1. Upravleniye veterinarii Ministerstva sel'skogo
khozyaystva
RSFSR.
(Hog cholera)

2

0
66398
AUTHOR:
Bessmertnykh,G.A.
SOV/20-128-6-2/63

TITLE:
'Al" ig of Two
A ultaneous in in
Characteristic Numbers of a

Self-Adjoined
Operator

PERIODICAL:
Doklady Akademii nauk SSSR,1959,Vol 128,Nr
6,pp 1106-1109 (USSR)

ABSTRACT.-
Let A be a bounded selfadjoined
positively defined operator in

the real Hilbert space H; lot
M
and m be the least upper bound

and the greatest lower bound
of
the spectrum of A; let m be

isolated; let m 1 be the least
number
of the spectrum being greater
_
7

than m. For the determination
Ref 1
of ' m M.A.Krasnosellskiy
Z

proposed the following method
of.iteration

xk+1 xk- 2gk '6k

where

(2) k Ax k--"k'k

(Ax k9xk)

'AA-k
TXT;7
7

k

(lak 9 &k)

rk (AA, k)

Card 1/3

66398 -
A Simultaneous Finding of Two Characteristic Numbers
BOY120-128-6-2165
of a Self-Adjoined Operator
Under certain assu!aptions the sequence /.-k converges to
m. The
Ykl-.r ,, -
sequence converges to y with respect to the-direction
lim sin2 Jv. (yk'y) 0
(yk'y) - "M 112
k-v)o k ooo Yk
Theorem 1t Let m and m1 be isolated points of the spectrum
of
A.Let M
(5) In>-2
and let x 0 be not orthogonal to the invariant subspaces
L. and
LM. of A. Then the sequence ;Nk k/1, converges with
1 '& k 11
respect to the direction to a vector of L 21 and.the
sequence
1/r converges to m
k
Theorem 2 considers the case
(6) m< m 1 0(
Card 2/3 2

66398 3
A Simultaneous Finding of Two Characteristic lumbers
SOV120-128-6-2163
of a Self-Adjoined Operator
and shows under certain assumptions on x0 that Ek converges
with
respect to the direction to an eigenvector of L. and
converges to the V assumed to be isolated.
Theorem 3 shows that if neither (5) nor (6) is valid, then in
general the sequence rk diverges. F
Finally the convergence of (1) - (4) is accelerated with the
aid
of a method of L.A.Lyusternik Z_Ref 32 (Theorem 4)- -
The author thanks M.A.Krasnosellskiv and B.P.Pvgachev'for
advices.
There are 4 Soviet references.
ASSOCIATION:Voronezhskiy gosudarstvenny podagogicheikiy
institut (Voronezh
State Pedagogical In
PRESENTED: June 16, 1959, by S.L.Sobolev, leadenician.
SUBMITTED: June 11, 1959
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68964
t" 14,L/400 S/020/60/131/02/002/071
AUTHOR: BeosmertnZkh, G.A.,_
TITLEt Two Methods for the Approximate Solution of Operator
Eauations
in the Hilbert Space
PERIODICAL: Doklady Akademii nauk SSSR, 196o,vol 131,--!r
2tpp 226-229 (USSR)
ABSTRACT: The author considers the equation
(1) Ay = b,
where A is a linear selfadjoint positiv-definite bounded
operator in the real Hilbert space H; b is the given element
of H and y is the sought element of H. Let y4~be the rigorous
solution of (1). Let y 0be an arbitrary element of 11 and
(2) Yk+1 ~ Yk- r- xkf
'Ck+'I' k
where (Axk*xk) (A,,.Nk' Ak)
(3) -b, rk = T-~;~ , r-k = ----
xk Ayk X k TAI I AIT
Ak- Axk- rkxkl JJAJ / 0'
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68964
Two Methods for the Approximate Solution of
S/020/60/131/02//002/071
Operator Equations in the Hilbert Space
Theorem 1: The sequence lyk I defined by (2)-(3) converges
(according to the norm of H) to tile solution Y* of 0).
Theorem 3: To every 9_',,-O there exists a number k0so that
for all p >0 it holds
11 Yk0+P-Y*ll ~_ (q+ E )p 11 Yk0-Y,,
where q = M and M,m are the least upper and greatest lower
1.1+2m
bound of the spectrum of A (0