A Numerical Library in Java for Scientists and Engineers

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CRC Press, Aug 27, 2003 - Mathematics - 1088 pages
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At last researchers have an inexpensive library of Java-based numeric procedures for use in scientific computation. The first and only book of its kind, A Numeric Library in Java for Scientists and Engineers is a translation into Java of the library NUMAL (NUMerical procedures in ALgol 60).

This groundbreaking text presents procedural descriptions for linear algebra, ordinary and partial differential equations, optimization, parameter estimation, mathematical physics, and other tools that are indispensable to any dynamic research group.

The book offers test programs that allow researchers to execute the examples provided; users are free to construct their own tests and apply the numeric procedures to them in order to observe a successful computation or simulate failure. The entry for each procedure is logically presented, with name, usage parameters, and Java code included.

This handbook serves as a powerful research tool, enabling the performance of critical computations in Java. It stands as a cost-efficient alternative to expensive commercial software package of procedural components.
 

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Contents

INTRODUCTION
1
Complex monadic operations
51
ALGEBRAIC EVALUATIONS
64
LINEAR ALGEBRA
92
ANALYTIC EVALUATIONS
341
ANALYTIC PROBLEMS
374
SPECIAL FUNCTIONS
651
INTERPOLATION AND APPROXIMATION
741
selzerortpol
885
alljaczer
886
alllagzer
887
Examples for chapter 4 procedures
888
sumposseries
889
qadrat
890
tricub
892
reccof
893

ADDENDA
749
Time series analysis
780
WORKED EXAMPLES
804
Examples for chapter 2 procedures
811
Examples for chapter 3 procedures
820
chldec2 chlsol2 chlinv2
831
chldecsol2 chldetenn2 chldecinv2
833
determsym2
838
lsqortdecsol
840
lsqinv
841
lsqdecomp Isqrefsol
842
solovr
844
solund
845
homsol
847
psdinv
849
solbnd decbnd determbnd
850
decsolbnd
851
decsoltri
852
soltripiv
853
decsoltripiv
854
chlsolbnd chldecbnd chldetermbnd
855
chldecsolbnd chldetermbnd
856
decsolsymtri
857
conjgrad
858
eqilbrcom
860
hshhrmtri
861
valsymtri vecsymtri
862
eigsyml
863
symeigimp
865
comvalqri comveches
866
reaeig3
869
qrihrm
871
valqricom
872
qricom
874
eigcom
875
qzival
877
qzi
878
qrisngvaldec
880
zerpol bounds
881
allzerortpol
883
lupzerortpol
884
gsswtssym
894
gssjacwghts
895
jacobnnf
896
jacobnmf
897
jacobnbndf
899
Examples for chapter 5 procedures
900
zeroinrat
901
zeroinder
902
quanewbndl
903
minin
904
mininder
906
praxis
907
rnklmin flemin
908
marquardt
910
gssnewton
912
rkl
914
rke
915
rk4a
921
diffsys
923
ark
925
efrk
928
efsirk
930
eferk
932
linigerlvs
934
liniger2
940
impex
942
modifiedtaylor
945
eft
948
rk2
958
femlagsym
961
femlag
963
femlagspher
964
femlagskew
966
Examples for chapter 6 procedures
984
femhermsym 968
968
nonlinfemlagskew 970
970
richardson 972
972
REFERENCES 1012
1012
PROCEDURES DESCRIPTION 1021
1021
INDEX OF PROCEDURES 1055
1055
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Page xix - is a translation into Java of the library NUMAL (NUMerical procedures in ALgol 60) [He80] developed at the Mathematical Centre, Amsterdam. The scope of the library is indicated by the list of procedure descriptions

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