Generalized Inverses: Theory and Applications ... - Benisrael.net

BIBLIOGRAPHY 39no. 3, 541–557, 574–575, (English translation: DifferentialEquations 17 (1981), no. 3, 377–390).1266. , Perturbation-resistant algorithms forpseudoinversion of rectangular matrices using theLagrange transform, Mathematical Methods of Cybernetics,Akad. Nauk Ukrain. SSR Inst. Kibernet.,Kiev, 1982, pp. 24–37.1267. , Regularized nonorthogonal factorizationsand pseudoinversions of perturbed matrices, Zh.Vychisl. Mat. i Mat. Fiz. 26 (1986), no. 4, 485–498, 638.1268. , Accelerated regularized methods for calculatingsolutions of nonlinear nonregular equations,Dokl. Akad. Nauk SSSR 311 (1990), no. 2, 282–287, (English translation: Soviet Math. Dokl. 41(1990), no. 2, 246–251 (1991)).1269. V. I. Meleško and V. M. Zadachin, Factorizationsand pseudo-inversions of singular perturbed matriceswith nonfixed signs, Izv. Vyssh. Uchebn. Zaved.Mat. (1987), no. 11, 42–50, 88, (English translation:Soviet Math. (Iz. VUZ) 31 (1987), no. 11,53–62).1270. G. Merz, Über die Interpolationsaufgabe beinatürlichen Polynom-Splines mit äquidistantenKnoten, J. Approximation Theory 10 (1974), 151–158.1271. F. T. Metcalf, A Bessel-Schwarz inequality forGramians and related bounds for determinants,Ann. Mat. Pura Appl. (4) 68 (1965), 201–232.1272. C. D. Meyer, Jr., On ranks of pseudoinverses,SIAM Rev. 11 (1969), 382–385.1273. , On the construction of solutions to the matrixequations AX = A and Y A = A, SIAM Rev.11 (1969), 612–615.1274. , Generalized inverses of block triangularmatrices, SIAM J. Appl. Math. 19 (1970), 741–750.1275. , Generalized inverses of triangular matrices,SIAM J. Appl. Math. 18 (1970), 401–406.1276. , Some remarks on EP r matrices, and generalizedinverses, Linear Algebra and its Applications3 (1970), 275–278.1277. , Representations for (1)- and (1, 2)-inverses for partitioned matrices, Linear Algebraand its Applications 4 (1971), 221–232.1278. , The Moore-Penrose inverse of a borderedmatrix, Linear Algebra and its Applications 5(1972), 375–382.1279. , Generalized inverses and ranks of blockmatrices, SIAM J. Appl. Math. 25 (1973), 597–602.1280. , Generalized inversion of modified matrices,SIAM J. Appl. Math. 24 (1973), 315–323.1281. , Limits and the index of a square matrix,SIAM J. Appl. Math. 26 (1974), 469–478, (see[1630]).1282. , The role of the group generalized inversein the theory of finite Markov chains, SIAM Rev.17 (1975), 443–464.1283. , Analysis of finite Markov chains by groupinversion techniques, In Campbell [320], pp. 50–81.1284. , The character of a finite Markov chain,Linear Algebra, Markov Chains, and QueueingModels (Minneapolis, MN, 1992), Springer, NewYork, 1993, pp. 47–58.1285. , Matrix Analysis and Applied Linear Algebra,Society for Industrial and Applied Mathematics(SIAM), Philadelphia, PA, 2000.1286. C. D. Meyer, Jr. and R. J. Painter, Note on a leastsquares inverse for a matrix, J. Assoc. Comput.Mach. 17 (1970), 110–112.1287. C. D. Meyer, Jr. and R. J. Plemmons, Convergentpowers of a matrix with applications to iterativemethods for singular linear systems, SIAM J. Numer.Anal. 14 (1977), no. 4, 699–705.1288. C. D. Meyer, Jr. and N. J. Rose, The index and theDrazin inverse of block triangular matrices, SIAMJ. Appl. Math. 33 (1977), no. 1, 1–7.1289. C. D. Meyer, Jr. and J. M. Shoaf, Updating finiteMarkov chains by using techniques of group matrixinversion, J. Statist. Comput. Simulation 11(1980), no. 3-4, 163–181.1290. C. D. Meyer, Jr. and M. W. Stadelmaier, SingularM-matrices and inverse positivity, Linear Algebraand its Applications 22 (1978), 139–156.1291. C. D. Meyer, Jr. and G. W. Stewart, Derivativesand perturbations of eigenvectors, SIAM J. Numer.Anal. 25 (1988), no. 3, 679–691.1292. Jian Ming Miao, The weighted Moore-Penrose inverseof a rank-one modified matrix (chinese), J.Shanghai Teachers University 17 (1988), no. 3, 21–26.1293. , The Moore-Penrose inverse of a rank-rmodified matrix, Numer. Math. J. Chinese Univ.11 (1989), no. 4, 355–361.1294. , Representations for the weighted Moore-Penrose inverse of a partitioned matrix, J. Comput.Math. 7 (1989), no. 4, 321–323.1295. , Representations for the weighted Moore-Penrose inverse of sums of matrices (Chinese),Comm. Appl. Math. and Comput. 3 (1989), no. 2,83–86.1296. , Some results on the Drazin inverses forpartitioned matrices (Chinese), J. Shanghai TeachersUniversity 18 (1989), no. 2, 25–31.1297. , The Drazin inverse of Hessenberg matrices,J. Comput. Math. 8 (1990), no. 1, 23–29.1298. , General expressions for the Moore-Penrose inverse of a 2 × 2 block matrix, Linear Algebraand its Applications 151 (1991), 1–15.1299. , Reflexive generalized inverses and theirminors, Linear and Multilinear Algebra 35 (1993),no. 2, 153–163.1300. Jian Ming Miao and A. Ben-Israel, On principalangles between subspaces in R n , Linear Algebra andits Applications 171 (1992), 81–98.