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EISPACK

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51:, real symmetric tridiagonal, special real tridiagonal, generalized real, and generalized real symmetric matrices. In addition it includes subroutines to perform a 246: 367: 392: 387: 239: 152: 121: 418: 346: 232: 144: 113: 377: 304: 82:. Brian Smith led a team at Argonne developing EISPACK, initially by translating these algorithms into FORTRAN. 336: 52: 423: 67: 413: 290: 341: 255: 300: 24: 295: 71: 40: 8: 274: 75: 214: 189: 148: 117: 310: 185: 86:
joined the team as an undergraduate intern at Argonne, and later went on to create
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Garbow, Burton S. (1974). "EISPACK — A package of matrix eigensystem routines".
269: 407: 315: 218: 132: 101: 83: 39:. It contains subroutines for calculating the eigenvalues of nine classes of 224: 74:, robust and reliable. The library drew heavily on algorithms developed by 32: 136: 105: 48: 28: 331: 209: 63: 59: 36: 382: 372: 206: 87: 79: 130: 99: 141:
Matrix Eigensystem Routines - EISPACK Guide Extension
90:, which has largely superseded EISPACK and LINPACK. 58:Originally written around 1972–1973, EISPACK, like 405: 47:, real general, real symmetric, real symmetric 240: 254: 110:Matrix Eigensystem Routines - EISPACK Guide 247: 233: 378:Basic Linear Algebra Subprograms (BLAS) 78:, which were originally implemented in 70:, has always been free, and aims to be 406: 175: 104:; Garbow, Burton; Ikebe, Y; Klema, V; 228: 13: 14: 435: 200: 145:Lecture Notes in Computer Science 114:Lecture Notes in Computer Science 93: 178:Computer Physics Communications 169: 131:Garbow, Burton; Boyle, James; 1: 162: 190:10.1016/0010-4655(74)90086-1 100:Smith, Brian; Boyle, James; 53:singular value decomposition 43:: complex general, complex 7: 68:Argonne National Laboratory 10: 440: 291:System of linear equations 360: 342:Cache-oblivious algorithm 324: 283: 262: 210:download site for EISPACK 419:Numerical linear algebra 393:General purpose software 256:Numerical linear algebra 35:of matrices, written in 388:Specialized libraries 301:Matrix multiplication 296:Matrix decompositions 25:numerical computation 275:Numerical stability 66:, originated from 424:Numerical software 414:Fortran libraries 401: 400: 154:978-3-540-08254-5 123:978-3-540-07546-2 431: 311:Matrix splitting 249: 242: 235: 226: 225: 194: 193: 173: 158: 127: 21:software library 439: 438: 434: 433: 432: 430: 429: 428: 404: 403: 402: 397: 356: 352:Multiprocessing 320: 316:Sparse problems 279: 258: 253: 203: 198: 197: 174: 170: 165: 155: 124: 96: 76:James Wilkinson 12: 11: 5: 437: 427: 426: 421: 416: 399: 398: 396: 395: 390: 385: 380: 375: 370: 364: 362: 358: 357: 355: 354: 349: 344: 339: 334: 328: 326: 322: 321: 319: 318: 313: 308: 298: 293: 287: 285: 281: 280: 278: 277: 272: 270:Floating point 266: 264: 260: 259: 252: 251: 244: 237: 229: 223: 222: 221:about EISPACK. 212: 202: 201:External links 199: 196: 195: 184:(4): 179–184. 167: 166: 164: 161: 160: 159: 153: 147:51. Springer. 133:Dongarra, Jack 128: 122: 102:Dongarra, Jack 95: 92: 9: 6: 4: 3: 2: 436: 425: 422: 420: 417: 415: 412: 411: 409: 394: 391: 389: 386: 384: 381: 379: 376: 374: 371: 369: 366: 365: 363: 359: 353: 350: 348: 345: 343: 340: 338: 335: 333: 330: 329: 327: 323: 317: 314: 312: 309: 306: 302: 299: 297: 294: 292: 289: 288: 286: 282: 276: 273: 271: 268: 267: 265: 261: 257: 250: 245: 243: 238: 236: 231: 230: 227: 220: 219:Jack Dongarra 216: 213: 211: 208: 205: 204: 191: 187: 183: 179: 172: 168: 156: 150: 146: 142: 138: 134: 129: 125: 119: 116:6. Springer. 115: 111: 107: 103: 98: 97: 94:Documentation 91: 89: 85: 84:Jack Dongarra 81: 77: 73: 69: 65: 61: 56: 54: 50: 46: 42: 38: 34: 30: 26: 22: 18: 263:Key concepts 181: 177: 171: 140: 137:Moler, Cleve 109: 106:Moler, Cleve 57: 33:eigenvectors 16: 15: 29:eigenvalues 408:Categories 305:algorithms 163:References 332:CPU cache 215:Interview 45:Hermitian 361:Software 325:Hardware 284:Problems 139:(1977). 108:(1976). 72:portable 41:matrices 64:MINPACK 60:LINPACK 37:FORTRAN 17:EISPACK 383:LAPACK 373:MATLAB 207:Netlib 151:  120:  88:LAPACK 49:banded 368:ATLAS 217:with 80:ALGOL 19:is a 347:SIMD 149:ISBN 118:ISBN 62:and 31:and 23:for 337:TLB 186:doi 27:of 410:: 180:. 143:. 135:; 112:. 55:. 307:) 303:( 248:e 241:t 234:v 192:. 188:: 182:7 157:. 126:.

Index

software library
numerical computation
eigenvalues
eigenvectors
FORTRAN
matrices
Hermitian
banded
singular value decomposition
LINPACK
MINPACK
Argonne National Laboratory
portable
James Wilkinson
ALGOL
Jack Dongarra
LAPACK
Dongarra, Jack
Moler, Cleve
Lecture Notes in Computer Science
ISBN
978-3-540-07546-2
Dongarra, Jack
Moler, Cleve
Lecture Notes in Computer Science
ISBN
978-3-540-08254-5
doi
10.1016/0010-4655(74)90086-1
Netlib

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