%% GI-MOORE.bib %% ============================================= %% Bibliography for "Moore of the Moore-Penrose inverse" %% by Adi Ben-Israel %% ============================================= @BOOK{Archibald38, author = {Archibald, R. C.}, title = {A {S}emicentennial {H}istory of the {A}merican {M}athematical {S}ociety 1888--1938 (2 volumes)}, publisher = {American Mathematical Society}, year = {1938}, volume = {}, address = {New York}, } @article {Aronszajn50, AUTHOR = {Aronszajn, N.}, TITLE = {Theory of reproducing kernels}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {68}, YEAR = {1950}, PAGES = {337--404}, MRCLASS = {}, MRNUMBER = {}, KEYWORDS = {reproducing kernels}, } @article{Birkhoff11, AUTHOR = {Birkhoff, G. D.}, TITLE = {Review of ``{T}he {N}ew {H}aven {C}olloquium. By {E}. {H}. {M}oore, {E}. {J}. {W}ilczynski, {M}. {M}ason. {Y}ale {U}niversity {P}ress, 1910, x + 222 p.''}, JOURNAL = {Bull. Amer. Math. Soc.}, VOLUME = {17}, YEAR = {1911}, PAGES = {414--428}, } @ARTICLE{Bjerhammar51, author = {Bjerhammar, A.}, title = {Rectangular reciprocal matrices, with special reference to geodetic calculations}, journal = {Bull. G\'eod\'esique}, year = {1951}, volume = {}, pages = {188--220}, } @ARTICLE{Bliss33, author = {Bliss, G. A.}, title = {Eliakim {H}astings {M}oore}, journal = {Bull. Amer. Math. Soc.}, year = {1933}, volume = {39}, pages = {831--838}, } @ARTICLE{Bliss34, author = {Bliss, G. A.}, title = {The scientific work of {E}liakim {H}astings {M}oore}, journal = {Bull. Amer. Math. Soc.}, year = {1934}, volume = {40}, pages = {501--514}, } @book{HawkingPenrose00, author = {Hawking, S. H. and Penrose, R.}, year = {2000}, title = {The {N}ature of {S}pace and {T}ime}, publisher = {Princeton University Press}, address = {Princeton}, } @article {Hildebrandt17, AUTHOR = {Hildebrandt, T. H.}, TITLE = {On a theory of linear differential equations in {G}eneral {A}nalysis}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {18}, YEAR = {1917}, PAGES = {73--96}, } @article {MathGenealogy, AUTHOR = {Mathematical Genealogy Project}, TITLE = {}, JOURNAL = {\verb+http:\\hcoonce.math.mankato.msus.edu/index.html+}, VOLUME = {}, YEAR = {}, PAGES = {}, } @incollection{Moore09, AUTHOR = {Moore, E. H.}, TITLE = {On a form of general analysis with applications to linear differential equations and integral equations}, BOOKTITLE = {Atti del IV Congresso Internazionale dei Matematici (Rome 1908). Vol 2}, PAGES = {98--114}, PUBLISHER = {}, ADDRESS = {Roma}, YEAR = {1909}, } @incollection{Moore10, AUTHOR = {Moore, E. H.}, TITLE = {Introduction to a {F}orm of {G}eneral {A}nalysis}, BOOKTITLE = {The New Haven Mathematical Colloquium}, PAGES = {1--150}, PUBLISHER = {Yale University Press}, ADDRESS = {New Haven, CT}, YEAR = {1910}, NOTE = {(see review in \cite{Birkhoff11})}, } @article{Moore12, author = {Moore, E. H.}, year = {1912}, title = {On the foundations of the theory of linear integral equations}, journal = {Trans. Amer. Math. Soc.}, volume = {18}, pages = {334-362}, } @article{Moore15, author = {Moore, E. H.}, year = {1915}, title = {Definition of limit in general integral analysis}, journal = {Proc. Nat. Acad. Sci.}, volume = {1}, pages = {628}, } @article{Moore16, author = {Moore, E. H.}, year = {1916}, title = {On properly positive {H}ermitian matrices}, journal = BULAM1, volume = {23}, pages = {59}, KEYWORDS = {reproducing kernels}, } @article{Moore20, author = {Moore, E. H.}, year = {1920}, title = {On the Reciprocal of the General Algebraic Matrix}, journal = {Bull. Amer. Math. Soc.}, volume = {26}, pages = {394-395}, } @book{Moore35, author = {Moore, E. H. and Barnard, R. W.}, year = {1935}, title = {General {A}nalysis}, series = {Memoirs of the American Philosophical Society, I}, publisher = {American Philosophical Society}, address = {Philadelphia, Pennsylvania}, note = {(see specially Part 1, pp. 197--209)}, } @article{MooreSmith22, author = {Moore, E. H. and Smith, H. L.}, year = {1922}, title = {A general theory of limits}, journal = {Amer. J. Math.}, volume = {44}, pages = {102--121}, } @article {Parshall84, AUTHOR = {Parshall, K. H.}, TITLE = {{E}liakim {H}astings {M}oore and the founding of a mathematical community in {A}merica}, JOURNAL = {Annals of Science}, VOLUME = {41}, YEAR = {1984}, PAGES = {313--333}, MRCLASS = {}, MRNUMBER = {}, NOTE = {(reprinted in \textit{A {C}entury of {M}ethematics in {A}merica -- {P}art {II}}, ed. Peter Duren et al, American Mathematical Society, 1989, pp. 155--175)}, } @book {ParshallRowe94, AUTHOR = {Parshall, K. H. and Rowe, D. E.}, TITLE = {The {E}mergence of the {A}merican {M}athematical {R}esearch {C}ommunity, 1876--1900: {J}. {J}. {S}ylvester, {F}elix {K}lein, and {E}. {H}. {M}oore}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {1994}, PAGES = {xxiv+500}, ISBN = {0-8218-9004-2}, MRCLASS = {01A72 (01A55)}, MRNUMBER = {95j:01032}, } @article{Penrose55, author = {Penrose, R.}, year = {1955}, title = {A Generalized Inverse for Matrices}, journal = {Proceedings of the Cambridge Philosophical Society}, volume = {51}, pages = {406--413}, } @article{Penrose56, author = {Penrose, R.}, year = {1956}, title = {On Best Approximate Solutions of Linear Matrix Equations}, journal = {Proceedings of the Cambridge Philosophical Society}, volume = {52}, pages = {17-19}, } @book{Penrose72, author = {Penrose, R.}, year = {1972}, title = {Techniques of {D}ifferential {T}opology in {R}elativity }, series = {CBMS-NSF Regional Conference Series in Applied Mathematics}, publisher = {Society for Industrial and Applied Mathematics}, address = {Philadelphia}, } @book{Penrose89, author = {Penrose, R.}, year = {1989}, title = {The {E}mperor's {N}ew {M}ind}, publisher = {Oxford Univ Press}, address = {Oxford}, } @book{Penrose94, author = {Penrose, R.}, year = {1994}, title = {Shadows of the {M}ind : {A} {S}earch for the {M}issing {S}cience of {C}onsciousness}, publisher = {Oxford Univ Press}, address = {Oxford}, } @book{Penrose97, author = {Penrose (ed.), R.}, year = {1997}, title = {The {L}arge, the {S}mall and the {H}uman {M}ind}, publisher = {Oxford Univ Press}, address = {Oxford}, } @book{PenroseRindler86, author = {Penrose, R. and Rindler, W.}, year = {1986}, title = {Spinors and {S}pace {T}ime. {V}ol 1: {T}wo-{S}pinor {C}alculus and {R}elativistic {F}ields}, series = {Cambridge Monographs on Mathematical Physics}, publisher = {Cambridge University Press}, address = {Cambridge}, } @book{PenroseRindler86a, author = {Penrose, R. and Rindler, W.}, year = {1986}, title = {Spinors and {S}pace {T}ime. {V}ol 2: {S}pinor and {T}wister {M}ethods in {S}pace--{T}ime {G}eometry}, series = {Cambridge Monographs on Mathematical Physics}, publisher = {Cambridge University Press}, address = {Cambridge}, } @article {Siegmund-Schultze97, AUTHOR = {Siegmund-Schultze, R.}, TITLE = {The emancipation of mathematical research publishing in the {U}nited {S}tates from {G}erman dominance (1878--1945)}, JOURNAL = {Historia Mathematica}, VOLUME = {24}, YEAR = {1997}, PAGES = {135--166}, } @article {Siegmund-Schultze98, AUTHOR = {Siegmund-Schultze, R.}, TITLE = {Eliakim {H}astings {M}oore's ``{G}eneral {A}nalysis''}, JOURNAL = {Arch. Hist. Exact Sci.}, VOLUME = {52}, YEAR = {1998}, NUMBER = {1}, PAGES = {51--89}, MRCLASS = {01A60}, MRNUMBER = {2000b:01024}, } @article {Tseng56, AUTHOR = {Tseng, Yuan--Yung}, TITLE = {Virtual solutions and general inversions}, JOURNAL = {Uspehi Mat. Nauk (N.S.)}, VOLUME = {11}, YEAR = {1956}, NUMBER = {6(72)}, PAGES = {213--215}, MRCLASS = {46.2X}, MRNUMBER = {18,749c}, }