postmultiplyv.

Brit.

/ˌpəʊs(t)ˈmʌltᵻplʌɪ/, U.S.

/ˌpoʊs(t)ˈməltəˌplaɪ/

Origin: Formed within English, by derivation. Etymons: post- prefix, multiply v.

Etymology: < post- prefix + multiply v. Compare premultiply v.

Mathematics.

transitive. To multiply (a function, matrix, group element, etc.) by (or as) a following factor, esp. when the operation is non-commutative. Also intransitive.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > perform arithmetic or algebraic operations [verb (transitive)] > multiply > by a factor

postmultiply1861

premultiply1861

normalize1900

norm1914

1861 Philos. Trans. (Royal Soc.) 151 312 These numbers will remain unchanged, when the given matrix is premultiplied by any unit-matrix, and post-multiplied by any matrix whatsoever.

1919 Amer. Jrnl. Math. 41 231 Then post-multiplying by a properly chosen determinate, we ultimately obtain [etc.].

1978 Nature 20 Apr. 740/1 We are told, as though it were surprising, that pre- and post-multiplying a matrix by the matrix of its eigenvectors produces a diagonal matrix.

1987 A. R. Collar & A. Simpson Matrices & Engin. Dynamics i. 52 By inspection of (3) we can see that a column vector xi postmultiplying (2I − A) to give a null result must be such that [−2, 5, −2] x vanishes.

1991 Struct. Change & Econ. Dynamics 2 90 Post-multiplying the left-hand vector a⁰ on both sides, it follows that s¹a⁰ = ms¹a⁰ + s²a⁰.

Derivatives

postmultipliˈcation n. multiplication of a function, matrix, etc., by a following factor, esp. when the operation is non-commutative.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > [noun] > multiplication

multiplicationa1393

multiplying?a1400

ductionc1430

leadingc1430

composition1557

practice1562

postmultiplication1861

premultiplication1861

1861 Philos. Trans. (Royal Soc.) 151 312 Every matrix of the type n × n is equivalent (by post-multiplication) to one, and only one, of the reduced matrices included in the formula (62.).

1968 L. Fox & D. F. Mayers Computing Methods for Scientists & Engineers v. 100 For the general eigenvalue problem we can perform virtually the same operation, though with post-multiplication included to preserve similarity.

1987 A. R. Collar & A. Simpson Matrices & Engin. Dynamics i. 25 Postmultiplication of C by D multiplies the columns of C in order by D₁, D₂, etc.

This entry has been updated (OED Third Edition, December 2006; most recently modified version published online March 2022).

单词	postmultiply
释义	postmultiplyv. Brit. /ˌpəʊs(t)ˈmʌltᵻplʌɪ/, U.S. /ˌpoʊs(t)ˈməltəˌplaɪ/ Origin: Formed within English, by derivation. Etymons: post- prefix, multiply v. Etymology: < post- prefix + multiply v. Compare premultiply v. Mathematics. transitive. To multiply (a function, matrix, group element, etc.) by (or as) a following factor, esp. when the operation is non-commutative. Also intransitive. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > perform arithmetic or algebraic operations [verb (transitive)] > multiply > by a factor postmultiply1861 premultiply1861 normalize1900 norm1914 1861 Philos. Trans. (Royal Soc.) 151 312 These numbers will remain unchanged, when the given matrix is premultiplied by any unit-matrix, and post-multiplied by any matrix whatsoever. 1919 Amer. Jrnl. Math. 41 231 Then post-multiplying by a properly chosen determinate, we ultimately obtain [etc.]. 1978 Nature 20 Apr. 740/1 We are told, as though it were surprising, that pre- and post-multiplying a matrix by the matrix of its eigenvectors produces a diagonal matrix. 1987 A. R. Collar & A. Simpson Matrices & Engin. Dynamics i. 52 By inspection of (3) we can see that a column vector xi postmultiplying (2I − A) to give a null result must be such that [−2, 5, −2] x vanishes. 1991 Struct. Change & Econ. Dynamics 2 90 Post-multiplying the left-hand vector a⁰ on both sides, it follows that s¹a⁰ = ms¹a⁰ + s²a⁰. Derivatives postmultipliˈcation n. multiplication of a function, matrix, etc., by a following factor, esp. when the operation is non-commutative. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > [noun] > multiplication multiplicationa1393 multiplying?a1400 ductionc1430 leadingc1430 composition1557 practice1562 postmultiplication1861 premultiplication1861 1861 Philos. Trans. (Royal Soc.) 151 312 Every matrix of the type n × n is equivalent (by post-multiplication) to one, and only one, of the reduced matrices included in the formula (62.). 1968 L. Fox & D. F. Mayers Computing Methods for Scientists & Engineers v. 100 For the general eigenvalue problem we can perform virtually the same operation, though with post-multiplication included to preserve similarity. 1987 A. R. Collar & A. Simpson Matrices & Engin. Dynamics i. 25 Postmultiplication of C by D multiplies the columns of C in order by D₁, D₂, etc. This entry has been updated (OED Third Edition, December 2006; most recently modified version published online March 2022). < v.1861
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