지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제34권 제1호
- 발행연도
- 2016.1
- 수록면
- 95 - 106 (12page)
이용수
초록· 키워드
오류제보하기
In this paper, according to the classical LSQR algorithm forsolving least squares (LS) problem, an iterative method is proposed for finding the minimum-norm pure imaginary solution of the quaternionic least squares (QLS) problem. By means of real representation of quaternion matrix, the QLS's correspongding vector algorithm is rewrited back to the matrix-form algorthm without Kronecker product and long vectors. Finally, numerical examples are reported that show the favorable numerical properties of the method.
목차
등록된 정보가 없습니다.
참고문헌 (14)
참고문헌 신청
L. Wu / 1996 / The re-nonnegative de nite solutions to the matrix inverse problem AX = B / Linear Algebra Appl 236:137~146
C.J. Meng / 2005 / The skew symmetric orthogonal solution of the matrix equation AX = B / Linear Algebra Appl 402:303~318
Zhigang Jia / 2013 / A new structure-preserving method for quater-nion Hermitian eigenvalue problems / Journal of Comput. and Appl. Math 239:12~24
T. Jang / 2007 / Algebraic algorithm for least squares problem in quaternionic quantum theory / Comput. Phys. Comm 176:481~485
Shifang Yuan / 2013 / On solutions of the quaternion matrix equation AX = B and their application in color image restoration / Appl. Math. Comput 221:10~20
C.J. Meng / 2005 / The skew symmetric orthogonal solution of the matrix equation AX = B / Linear Algebra Appl 402:303~318
Zhigang Jia / 2013 / A new structure-preserving method for quater-nion Hermitian eigenvalue problems / Journal of Comput. and Appl. Math 239:12~24
T. Jang / 2007 / Algebraic algorithm for least squares problem in quaternionic quantum theory / Comput. Phys. Comm 176:481~485
Shifang Yuan / 2013 / On solutions of the quaternion matrix equation AX = B and their application in color image restoration / Appl. Math. Comput 221:10~20
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Totally real and complex subspaces of a right quaternionic vector space with a Hermitian form of signature $(n,1)$
대한수학회지
2024 .05
-
Quaternionic Direction Curves
Kyungpook Mathematical Journal
2018 .01
-
A TYPE OF THE EXPONENTIAL OF A MATRIX OVER DUAL QUATERNION IN CLIFFORD ANALYSIS
Nonlinear Functional Analysis and Applications
2018 .09
-
A remark on a triple points in the boundary of quaternionic hyperbolic space
한국수학논문집
2017 .06
-
AN ITERATIVE ALGORITHM FOR THE LEAST SQUARES SOLUTIONS OF MATRIX EQUATIONS OVER SYMMETRIC ARROWHEAD MATRICES
대한수학회지
2015 .01
-
SEVERAL PROPERTIES OF QUATERNIONIC REGULAR FUNCTIONS IN CLIFFORD ANALYSIS
호남수학학술지
2015 .01
-
A polar representation of a regularity of a dual quaternionic function in Clifford analysis
대한수학회보
2017 .01
-
Parabolic quaternionic Monge-Amp\`{e}re equation on compact manifolds with a flat hyperK\"ahler metric
대한수학회지
2022 .01
-
THE DERIVATIVE OF A DUAL QUATERNIONIC FUNCTION WITH VALUES IN DUAL QUATERNIONS
호남수학학술지
2015 .01
-
Biharmonic Submanifolds of Quaternionic Space Forms
Kyungpook Mathematical Journal
2019 .01
-
DUAL REGULARIZED TOTAL LEAST SQUARES SOLUTION FROM TWO-PARAMETER TRUST-REGION ALGORITHM
대한수학회지
2017 .01
-
Determinantal expression of the general solution to a restricted system of quaternion matrix equations with applications
대한수학회보
2018 .01
-
Fermat's equation over 2-by-2 matrices
대한수학회보
2021 .01
-
EFFICIENT ESTIMATION OF THE REGULARIZATION PARAMETERS VIA L-CURVE METHOD FOR TOTAL LEAST SQUARES PROBLEMS
대한수학회지
2017 .01
-
Characterizations for Real Hypersurfaces in Complex and Quaternionic Space Forms Related to the Normal Jacobi Operator
Kyungpook Mathematical Journal
2016 .01
-
Szeg\"{o} projections for Hardy spaces in quaternionic Clifford analysis
대한수학회보
2022 .09
-
DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES
순수 및 응용수학
2016 .01
-
Conjugacy invariants of quaternion matrices
대한수학회논문집
2020 .01
-
A PARTITION OF q-COMMUTING MATRIX
East Asian Mathematical Journal
2023 .05
-
GLOBAL GENERALIZED CROSS VALIDATION IN THE PRECONDITIONED GL-LSQR
충청수학회지
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0