la_lapack::laic1 Interface Reference

LAIC1: applies one step of incremental condition estimation in its simplest version: Let x, twonorm(x) = 1, be an approximate singular vector of an j-by-j lower triangular matrix L, such that twonorm(L*x) = sest Then LAIC1 computes sestpr, s, c such that the vector [ s*x ] xhat = [ c ] is an approximate singular vector of [ L 0 ] Lhat = [ w**H gamma ] in the sense that twonorm(Lhat*xhat) = sestpr. Depending on JOB, an estimate for the largest or smallest singular value is computed. Note that [s c]**H and sestpr**2 is an eigenpair of the system diag(sest*sest, 0) + [alpha gamma] * [ conjg(alpha) ] [ conjg(gamma) ] where alpha = x**H*w. More...

Public Member Functions
	la_claic1
	la_dlaic1
	la_qlaic1
	la_slaic1
	la_wlaic1
	la_zlaic1

Detailed Description

LAIC1: applies one step of incremental condition estimation in its simplest version: Let x, twonorm(x) = 1, be an approximate singular vector of an j-by-j lower triangular matrix L, such that twonorm(L*x) = sest Then LAIC1 computes sestpr, s, c such that the vector [ s*x ] xhat = [ c ] is an approximate singular vector of [ L 0 ] Lhat = [ w**H gamma ] in the sense that twonorm(Lhat*xhat) = sestpr. Depending on JOB, an estimate for the largest or smallest singular value is computed. Note that [s c]**H and sestpr**2 is an eigenpair of the system diag(sest*sest, 0) + [alpha gamma] * [ conjg(alpha) ] [ conjg(gamma) ] where alpha = x**H*w.

Member Function/Subroutine Documentation

la_claic1()

la_lapack::laic1::la_claic1

la_dlaic1()

la_lapack::laic1::la_dlaic1

la_qlaic1()

la_lapack::laic1::la_qlaic1

la_slaic1()

la_lapack::laic1::la_slaic1

la_wlaic1()

la_lapack::laic1::la_wlaic1

la_zlaic1()

la_lapack::laic1::la_zlaic1

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The documentation for this interface was generated from the following file:

• la_lapack.F90