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Q-matrix

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Sivakumar, K. C.; Sushmitha, P.; Wendler, Megan (2020-05-17). "Karamardian Matrices: A Generalization of $ Q$ -Matrices".
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Danao, R. A. (November 1994). "Q-matrices and boundedness of solutions to linear complementarity problems".
227:"On the number of solutions to the complementarity problem and spanning properties of complementary cones" 226: 393: 419: 109: 91: 429: 386: 366: 36: 8: 338: 309: 280: 173: 154: 424: 342: 313: 245: 208: 198: 158: 146: 197:. Plemmons, Robert J. Philadelphia: Society for Industrial and Applied Mathematics. 330: 301: 284: 272: 249: 241: 138: 374: 129:
Karamardian, S. (1976). "An existence theorem for the complementarity problem".
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Aganagic, Muhamed; Cottle, Richard W. (December 1979). "A note on Q-matrices".
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This article is about the notion used in the context of
20:. For the one used in the context of Markov-chain, see 292:Pang, Jong-Shi (December 1979). "On Q-matrices". 195:Nonnegative matrices in the mathematical sciences 411: 192: 323:Journal of Optimization Theory and Applications 131:Journal of Optimization Theory and Applications 262: 22:Continuous-time Markov chain ยง Definition 394: 90:is a Q-matrix. Conversely, if a matrix is a 128: 94:and a Q-matrix, then it is also a P-matrix. 401: 387: 253: 177: 412: 320: 224: 353: 291: 234:Linear Algebra and Its Applications 13: 51:) has a solution for every vector 14: 441: 357: 225:Murty, Katta G. (January 1972). 18:linear complementarity problems 186: 165: 122: 67:is a Q-matrix if there exists 41:linear complementarity problem 1: 115: 58: 373:. You can help Knowledge by 246:10.1016/0024-3795(72)90019-5 7: 98: 10: 446: 352: 15: 193:Berman, Abraham. (1994). 83:) have a unique solution. 294:Mathematical Programming 265:Mathematical Programming 71:> 0 such that LCP( 365:This article about 335:10.1007/bf02190060 306:10.1007/BF01588247 277:10.1007/BF01582122 143:10.1007/BF00934094 382: 381: 39:whose associated 437: 403: 396: 389: 361: 354: 346: 317: 288: 259: 257: 231: 217: 216: 190: 184: 183: 181: 169: 163: 162: 126: 445: 444: 440: 439: 438: 436: 435: 434: 410: 409: 408: 407: 350: 229: 221: 220: 205: 191: 187: 170: 166: 127: 123: 118: 101: 61: 25: 12: 11: 5: 443: 433: 432: 427: 422: 406: 405: 398: 391: 383: 380: 379: 362: 348: 347: 329:(2): 321โ€“332. 318: 300:(1): 243โ€“247. 289: 271:(1): 374โ€“377. 260: 219: 218: 203: 185: 164: 137:(2): 227โ€“232. 120: 119: 117: 114: 113: 112: 107: 100: 97: 96: 95: 84: 60: 57: 9: 6: 4: 3: 2: 442: 431: 428: 426: 423: 421: 420:Matrix theory 418: 417: 415: 404: 399: 397: 392: 390: 385: 384: 378: 376: 372: 368: 363: 360: 356: 355: 351: 344: 340: 336: 332: 328: 324: 319: 315: 311: 307: 303: 299: 295: 290: 286: 282: 278: 274: 270: 266: 261: 256: 255:2027.42/34188 251: 247: 243: 240:(1): 65โ€“108. 239: 235: 228: 223: 222: 214: 210: 206: 204:0-89871-321-8 200: 196: 189: 180: 175: 168: 160: 156: 152: 148: 144: 140: 136: 132: 125: 121: 111: 108: 106: 103: 102: 93: 89: 85: 82: 78: 74: 70: 66: 63: 62: 56: 54: 50: 46: 42: 38: 34: 30: 23: 19: 430:Matrix stubs 375:expanding it 364: 349: 326: 322: 297: 293: 268: 264: 237: 233: 194: 188: 167: 134: 130: 124: 80: 76: 75:,0) and LCP( 72: 68: 64: 52: 48: 44: 35:is a square 32: 26: 29:mathematics 414:Categories 179:2005.08171 116:References 59:Properties 343:121165848 314:209858727 159:120505258 151:0022-3239 425:Matrices 367:matrices 213:31206205 110:Z-matrix 105:P-matrix 99:See also 92:Z-matrix 88:P-matrix 33:Q-matrix 285:6384105 341:  312:  283:  211:  201:  157:  149:  37:matrix 369:is a 339:S2CID 310:S2CID 281:S2CID 230:(PDF) 174:arXiv 155:S2CID 371:stub 209:OCLC 199:ISBN 147:ISSN 86:Any 43:LCP( 31:, a 331:doi 302:doi 273:doi 250:hdl 242:doi 139:doi 27:In 416:: 337:. 327:83 325:. 308:. 298:17 296:. 279:. 269:16 267:. 248:. 236:. 232:. 207:. 153:. 145:. 135:19 133:. 55:. 402:e 395:t 388:v 377:. 345:. 333:: 316:. 304:: 287:. 275:: 258:. 252:: 244:: 238:5 215:. 182:. 176:: 161:. 141:: 81:d 79:, 77:M 73:M 69:d 65:M 53:q 49:q 47:, 45:M 24:.

Index

linear complementarity problems
Continuous-time Markov chain ยง Definition
mathematics
matrix
linear complementarity problem
P-matrix
Z-matrix
P-matrix
Z-matrix
doi
10.1007/BF00934094
ISSN
0022-3239
S2CID
120505258
arXiv
2005.08171
ISBN
0-89871-321-8
OCLC
31206205
"On the number of solutions to the complementarity problem and spanning properties of complementary cones"
doi
10.1016/0024-3795(72)90019-5
hdl
2027.42/34188
doi
10.1007/BF01582122
S2CID
6384105

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