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Numerical Algorithms Group
NAG Toolbox for MATLAB

  • F07 Introduction
  • f07aa – Computes the solution to a real system of linear equations
  • f07ab – Uses the LU factorization to compute the solution, error-bound and condition estimate for a real system of linear equations
  • f07ad – LU factorization of real m by n matrix
  • f07ae – Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by f07ad
  • f07af – Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number
  • f07ag – Estimate condition number of real matrix, matrix already factorized by f07ad
  • f07ah – Refined solution with error bounds of real system of linear equations, multiple right-hand sides
  • f07aj – Inverse of real matrix, matrix already factorized by f07ad
  • f07an – Computes the solution to a complex system of linear equations
  • f07ap – Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations
  • f07ar – LU factorization of complex m by n matrix
  • f07as – Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by f07ar
  • f07at – Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number
  • f07au – Estimate condition number of complex matrix, matrix already factorized by f07ar
  • f07av – Refined solution with error bounds of complex system of linear equations, multiple right-hand sides
  • f07aw – Inverse of complex matrix, matrix already factorized by f07ar
  • f07ba – Computes the solution to a real banded system of linear equations
  • f07bb – Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations
  • f07bd – LU factorization of real m by n band matrix
  • f07be – Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by f07bd
  • f07bf – Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number
  • f07bg – Estimate condition number of real band matrix, matrix already factorized by f07bd
  • f07bh – Refined solution with error bounds of real band system of linear equations, multiple right-hand sides
  • f07bn – Computes the solution to a complex banded system of linear equations
  • f07bp – Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations
  • f07br – LU factorization of complex m by n band matrix
  • f07bs – Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by f07br
  • f07bt – Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number
  • f07bu – Estimate condition number of complex band matrix, matrix already factorized by f07br
  • f07bv – Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides
  • f07ca – Computes the solution to a real tridiagonal system of linear equations
  • f07cb – Uses the LU factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations
  • f07cd – LU factorization of real tridiagonal matrix
  • f07ce – Solves a real tridiagonal system of linear equations using the LU factorization computed by f07cd
  • f07cg – Estimates the reciprocal of the condition number of a real tridiagonal matrix using the LU factorization computed by f07cd
  • f07ch – Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides
  • f07cn – Computes the solution to a complex tridiagonal system of linear equations
  • f07cp – Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations
  • f07cr – LU factorization of complex tridiagonal matrix
  • f07cs – Solves a complex tridiagonal system of linear equations using the LU factorization computed by f07cd
  • f07cu – Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the LU factorization computed by f07cd
  • f07cv – Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides
  • f07fa – Computes the solution to a real symmetric positive-definite system of linear equations
  • f07fb – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite system of linear equations
  • f07fd – Cholesky factorization of real symmetric positive-definite matrix
  • f07fe – Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fd
  • f07ff – Computes row and column scalings intended to equilibrate a real symmetric positive-definite matrix and reduce its condition number
  • f07fg – Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by f07fd
  • f07fh – Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides
  • f07fj – Inverse of real symmetric positive-definite matrix, matrix already factorized by f07fd
  • f07fn – Computes the solution to a complex Hermitian positive-definite system of linear equations
  • f07fp – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite system of linear equations
  • f07fr – Cholesky factorization of complex Hermitian positive-definite matrix
  • f07fs – Solution of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fr
  • f07ft – Computes row and column scalings intended to equilibrate a complex Hermitian positive-definite matrix and reduce its condition number
  • f07fu – Estimate condition number of complex Hermitian positive-definite matrix, matrix already factorized by f07fr
  • f07fv – Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides
  • f07fw – Inverse of complex Hermitian positive-definite matrix, matrix already factorized by f07fr
  • f07ga – Computes the solution to a real symmetric positive-definite system of linear equations, packed storage
  • f07gb – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite system of linear equations, packed storage
  • f07gd – Cholesky factorization of real symmetric positive-definite matrix, packed storage
  • f07ge – Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gd, packed storage
  • f07gf – Computes row and column scalings intended to equilibrate a real symmetric positive-definite matrix and reduce its condition number, packed storage
  • f07gg – Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by f07gd, packed storage
  • f07gh – Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides, packed storage
  • f07gj – Inverse of real symmetric positive-definite matrix, matrix already factorized by f07gd, packed storage
  • f07gn – Computes the solution to a complex Hermitian positive-definite system of linear equations, packed storage
  • f07gp – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite system of linear equations, packed storage
  • f07gr – Cholesky factorization of complex Hermitian positive-definite matrix, packed storage
  • f07gs – Solution of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gr, packed storage
  • f07gt – Computes row and column scalings intended to equilibrate a complex Hermitian positive-definite matrix and reduce its condition number, packed storage
  • f07gu – Estimate condition number of complex Hermitian positive-definite matrix, matrix already factorized by f07gr, packed storage
  • f07gv – Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, packed storage
  • f07gw – Inverse of complex Hermitian positive-definite matrix, matrix already factorized by f07gr, packed storage
  • f07ha – Computes the solution to a real symmetric positive-definite banded system of linear equations
  • f07hb – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite banded system of linear equations
  • f07hd – Cholesky factorization of real symmetric positive-definite band matrix
  • f07he – Solution of real symmetric positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hd
  • f07hf – Computes row and column scalings intended to equilibrate a real symmetric positive-definite banded matrix and reduce its condition number
  • f07hg – Estimate condition number of real symmetric positive-definite band matrix, matrix already factorized by f07hd
  • f07hh – Refined solution with error bounds of real symmetric positive-definite band system of linear equations, multiple right-hand sides
  • f07hn – Computes the solution to a complex Hermitian positive-definite banded system of linear equations
  • f07hp – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite banded system of linear equations
  • f07hr – Cholesky factorization of complex Hermitian positive-definite band matrix
  • f07hs – Solution of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hr
  • f07ht – Computes row and column scalings intended to equilibrate a complex Hermitian positive-definite banded matrix and reduce its condition number
  • f07hu – Estimate condition number of complex Hermitian positive-definite band matrix, matrix already factorized by f07hr
  • f07hv – Refined solution with error bounds of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides
  • f07ja – Computes the solution to a real symmetric positive-definite tridiagonal system of linear equations
  • f07jb – Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite tridiagonal system of linear equations
  • f07jd – Computes the modified Cholesky factorization of a real symmetric positive-definite tridiagonal matrix
  • f07je – Solves a real symmetric positive-definite tridiagonal system using the modified Cholesky factorization computed by f07jd
  • f07jg – Computes the reciprocal of the condition number of a real symmetric positive-definite tridiagonal system using the modified Cholesky factorization computed by f07jd
  • f07jh – Refined solution with error bounds of real symmetric positive-definite tridiagonal system of linear equations, multiple right-hand sides
  • f07jn – Computes the solution to a complex Hermitian positive-definite tridiagonal system of linear equations
  • f07jp – Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite tridiagonal system of linear equations
  • f07jr – Computes the modified Cholesky factorization of a complex Hermitian positive-definite tridiagonal matrix
  • f07js – Solves a complex Hermitian positive-definite tridiagonal system using the modified Cholesky factorization computed by f07jr
  • f07ju – Computes the reciprocal of the condition number of a complex Hermitian positive-definite tridiagonal system using the modified Cholesky factorization computed by f07jr
  • f07jv – Refined solution with error bounds of complex Hermitian positive-definite tridiagonal system of linear equations, multiple right-hand sides
  • f07ma – Computes the solution to a real symmetric system of linear equations
  • f07mb – Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations
  • f07md – Bunch–Kaufman factorization of real symmetric indefinite matrix
  • f07me – Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07md
  • f07mg – Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07md
  • f07mh – Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides
  • f07mj – Inverse of real symmetric indefinite matrix, matrix already factorized by f07md
  • f07mn – Computes the solution to a complex Hermitian system of linear equations
  • f07mp – Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations
  • f07mr – Bunch–Kaufman factorization of complex Hermitian indefinite matrix
  • f07ms – Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mr
  • f07mu – Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07mr
  • f07mv – Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides
  • f07mw – Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07mr
  • f07nn – Computes the solution to a complex symmetric system of linear equations
  • f07np – Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations
  • f07nr – Bunch–Kaufman factorization of complex symmetric matrix
  • f07ns – Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07nr
  • f07nu – Estimate condition number of complex symmetric matrix, matrix already factorized by f07nr
  • f07nv – Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides
  • f07nw – Inverse of complex symmetric matrix, matrix already factorized by f07nr
  • f07pa – Computes the solution to a real symmetric system of linear equations, packed storage
  • f07pb – Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage
  • f07pd – Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage
  • f07pe – Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pd, packed storage
  • f07pg – Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pd, packed storage
  • f07ph – Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage
  • f07pj – Inverse of real symmetric indefinite matrix, matrix already factorized by f07pd, packed storage
  • f07pn – Computes the solution to a complex Hermitian system of linear equations, packed storage
  • f07pp – Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations, packed storage
  • f07pr – Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
  • f07ps – Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pr, packed storage
  • f07pu – Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07pr, packed storage
  • f07pv – Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage
  • f07pw – Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07pr, packed storage
  • f07qn – Computes the solution to a complex symmetric system of linear equations, packed storage
  • f07qp – Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed storage
  • f07qr – Bunch–Kaufman factorization of complex symmetric matrix, packed storage
  • f07qs – Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07qr, packed storage
  • f07qu – Estimate condition number of complex symmetric matrix, matrix already factorized by f07qr, packed storage
  • f07qv – Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage
  • f07qw – Inverse of complex symmetric matrix, matrix already factorized by f07qr, packed storage
  • f07te – Solution of real triangular system of linear equations, multiple right-hand sides
  • f07tg – Estimate condition number of real triangular matrix
  • f07th – Error bounds for solution of real triangular system of linear equations, multiple right-hand sides
  • f07tj – Inverse of real triangular matrix
  • f07ts – Solution of complex triangular system of linear equations, multiple right-hand sides
  • f07tu – Estimate condition number of complex triangular matrix
  • f07tv – Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides
  • f07tw – Inverse of complex triangular matrix
  • f07ue – Solution of real triangular system of linear equations, multiple right-hand sides, packed storage
  • f07ug – Estimate condition number of real triangular matrix, packed storage
  • f07uh – Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage
  • f07uj – Inverse of real triangular matrix, packed storage
  • f07us – Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
  • f07uu – Estimate condition number of complex triangular matrix, packed storage
  • f07uv – Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
  • f07uw – Inverse of complex triangular matrix, packed storage
  • f07ve – Solution of real band triangular system of linear equations, multiple right-hand sides
  • f07vg – Estimate condition number of real band triangular matrix
  • f07vh – Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides
  • f07vs – Solution of complex band triangular system of linear equations, multiple right-hand sides
  • f07vu – Estimate condition number of complex band triangular matrix
  • f07vv – Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides