# matrix analysis in a sentence

- Ray transfer
*matrix analysis*is one method that uses the approximation. - It is often combined with the paraxial approximation in techniques such as ray transfer
*matrix analysis*. - The Schur complement is a key tool in the fields of numerical analysis, statistics and
*matrix analysis*. - On
*Matrix Analysis*, NAL, Bangalore, Sep 25 Oct 03, 1969, 113-123. - Brenner, with George Pieczenik, created the first computer
*matrix analysis*of nucleic acids using TRAC, which Brenner continues to use. - It's difficult to find
*matrix analysis*in a sentence. - Cracovians adopted a column-row convention for designating individual elements as opposed to the standard row-column convention of
*matrix analysis*. - In addition, he has authored another textbook, " Linear Algebra and
*Matrix Analysis*for Statistics ", with Anindya Roy. - The Chinese Institute of Engineers ( CIE ) awarded Li the CIE annual award in 1963 for his work on the Unified Energy-
*Matrix Analysis*. - The books "
*Matrix Analysis*" and " Topics in Matrix Analysis ", co-written by him with Roger Horn, are standard texts in advanced linear algebra. - The books " Matrix Analysis " and " Topics in
*Matrix Analysis*", co-written by him with Roger Horn, are standard texts in advanced linear algebra. - The sequence / structure alignment and DD
*matrix analysis*information is then fed into a modified quaternion eigenvalue algorithm to rapidly perform the structural superposition and calculate the RMSD between aligned regions of two macromolecules. - Gene Golub served as the president of the Society for Industrial and Applied Mathematics ( SIAM ) from 1985 to 1987 and was founding editor of both the SIAM Journal on Scientific Computing ( SISC ) and the SIAM Journal on
*Matrix Analysis*and Applications ( SIMAX ). - Martin founded Martin Analysis Software Technology Company following retirement; and contracted with the Navy for high-resolution beamforming with generalized eigenvector / eigenvalue ( GEVEV ) digital signal processing from 1985 through 1987 and for personal computer aided engineering ( PC CAE ) of underwater transducers and arrays from 1986 through 1989 . Martin published an expanded theory of matrices in 2012 entitled " A New Approach to
*Matrix Analysis*, Complex Symmetric Matrices, and Physically Realizable Systems ". - Regrettably, to confuse the matter, some literature sources use the reverse notation, e . g ., \ succ is replaced with \ prec, most notably, in Horn and Johnson, "
*Matrix analysis*" ( Cambridge Univ . Press, 1985 ), Definition 4.3 . 24, while the same authors switch to the traditional notation, introduced here, later in their " Topics in Matrix Analysis " ( 1994 ), and in the second edition of " Matrix analysis " ( 2013 ). - Regrettably, to confuse the matter, some literature sources use the reverse notation, e . g ., \ succ is replaced with \ prec, most notably, in Horn and Johnson, " Matrix analysis " ( Cambridge Univ . Press, 1985 ), Definition 4.3 . 24, while the same authors switch to the traditional notation, introduced here, later in their " Topics in
*Matrix Analysis*" ( 1994 ), and in the second edition of " Matrix analysis " ( 2013 ).

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